Queen Mary of Denmark walks hand-in-hand with King Frederik during visit to Greenland alongside twin children Prince Vincent and Princess Josephine

Queen Mary and King Frederik X of Denmark looked every inch the happy couple as they visited Greenland over the weekend.

Joined by their two youngest children, Mary, 52, and Frederik, 56, appeared in high spirits as they visited a viewpoint with a whale microphone at Qeqertarsuaq in Greenland.

While Crown Prince Christian, 18, who celebrated his school graduation last week, and Princess Isabella, 17, did not attend, Mary and Frederik's youngest children, twins Princess Josephine, and Prince Vincent, both 13, were present.

Mary made outdoor attire look chic with a navy double-breasted knee-length coat layered with a gilet underneath and maroon winter accessories, including a beanie and scarf.

She appeared in high spirits as she held Frederik's hand while exploring Greenland, despite their marriage being plagued with rumours of marital struggles since the King was pictured out in Madrid with Mexican socialite Genoveva Casanova last year.

Queen Mary and King Frederik X of Denmark arrived in Qeqertarsuaq, Greenland, hand-in-hand 

Prince Vincent and Princess Josephine joined Frederik and Mary on the trip to Qeqertarsuaq in Greenland

Frederik also wrapped up warm for the occasion and donned a pair of green patterned trousers with a royal blue sweatshirt layered with a velour gilet.

Following her mother's footsteps, Josephine showcased her style prowess in a chic khaki ensemble. The young royal also added a grey marl beanie for extra warmth.

Meanwhile, Vincent opted for a similarly coloured dark green attire, completed with a contrasting £155 beanie, from the Italian brand Stone Island.

During the trip, Mary showcased her sporty side and played football with local children before one young girl offered her a warm hug.

It comes after Queen Mary, 52, held up her phone and beamed as she took photos of 18-year-old Prince Christian in a procession with his peers as he celebrated reaching the end of his school studies.

Dressed in a sharp pinstriped blazer and accessorised with cool wayfarer shades, Mary certainly stood out as one of the more stylish parents in the crowd - but aside from that, one wouldn't have been able to tell she's one of the most powerful women in the nation as she joined other parents of Christian's peers to celebrate.

She was joined at the Ordrup Gymnasium in Copenhagen by King Frederik, Princess Isabella, and twins Princess Josephine and Prince Vincent to celebrate her eldest son and heir to the throne's graduation, before he heads to university in the autumn.

As the whole family turned out to celebrate the Crown Prince's graduation it marked another show of solidarity from the royals following a turbulent year which included rumours King Frederik had had an affair (which were strenuously denied) and Queen Margrethe's shock new year abdication.

The Australian-born Queen, 52, showcased her sporty side during the trip to Greenland and played football

Princess Josephine, 13, donned a trendy all-khaki ensemble with a contrasting grey wool beanie 

Mary, Frederik, Vincent, and Josephine hiked through Qeqertarsuaq's rocky landscape 

As Crown Prince Christian, who is now first in line to the throne after his father became King in January, took part in a parade with his peers to celebrate finishing school, it is another event in his graduation festivities.

Last week, Mary and Frederik attended their son's official graduation ceremony and spoke of their pride in interviews with local media.

It is likely that the royal will now attend University in the Autumn and complete his military training, following in his father's footsteps.

This is a similar situation to Princess Leonor, the heir to the Spanish throne. Upon finishing school, she started her three years of intense defence training.

Two years ago, Prince Christian was pulled out of the elite Herlufsholm Boarding School after allegations of sexual and physical abuse at the institution surfaced in a documentary. His sister Isabella was also due to attend, but her parents pulled her out too.

Prince Vincent matched his twin sister in a khaki ensemble, but added a navy beanie from Stone Island

Locals cheered as Denmark's Prince Vincent ran the Family Mile in the Qeqertarsuaq Race during a visit to Qeqertarsuaq

Queen Mary looked animated as she chatted with young locals at Qeqertarsuaq in Greenland

The pair were enrolled at Ordrup Gymnasium, and as Isabella is only one year below her brother, Mary and Frederik will likely be at the school around the same time next year to celebrate their eldest daughter's graduation.

The school Christian graduated from was founded in 1873 by HC Frederiksen (called Friser), who wanted to move away from the traditional teaching methods of his time.

The school, which offers several clubs, including elite sports clubs, was the first one to introduce co-ed teaching in Denmark and is considered an innovative institution.

The core values at Ordrup are to encourage 'curiosity' among its students, as well as 'cooperation and respect'.

Crown Prince Christian's graduation festivities mark a happy occasion for the Danish royal family amid a turbulent time, after King Frederik's night out with Mexican socialite Genoveva Casanova in Madrid last autumn.

The family posed for a photograph during the visit to a viewpoint with a whale microphone at Qeqertarsuaq

Local children warmly embraced the royal mother-of-four during the visit to Qeqertarsuaq in Greenland

Snaps of the pair showed them heading to a traditional Flamenco restaurant in the Spanish capital, where Genoveva lives, where Spanish magazine Lecturas reported they dined together until the early hours.

Following publication of the photos, rumours of an affair between the pair circulated - which were strenuously denied by Genoveva.

However cracks begun to appear in Queen Mary and King Frederik's relationship following his night out with Genoveva and the couple, who have been married for 20 years, have displayed frosty body language towards each other in public appearances.

But as Crown Prince Christian marks a rite of passage in his life by graduating high school, the family appears to be overwhelmed with happiness - as it was smiles all around for the Danish royals last week.