Word Problems: Highest common factor

Sonia has 72 red beads and 84 blue beads. She wants to make some necklaces and each necklace is made up of red and blue beads.

A) What is the maximum number of necklaces she can make if she is to chain all the red and blue beads equally without any left over.

B) How many red and blue beads are there in each necklace?

Mrs Ali baked 45 brownies and 75 strawberry cupcakes for her son's birthday party.

A) What is the maximum number of trays she need to put these items equally without any left over?

B) How many brownies and strawberry cupcakes were there on each tray?

Shelly bought 21 cups, 63 coasters and 42 ball pens to wrap as door gifts to give to her staff during the company's event.

A) How many staff did she have if each staff received the same quantity of items?

B) How many cups, coasters and ball pens did each staff receive?

Ben has three pieces of copper wire of length 48cm,80cm and 96 cm. He wants to cut these three pieces of copper wire into smaller pieces of equal length with no remainder.

A)What is the greatest possible length of each of the smaller pieces of copper wire?

B)How many of the smaller pieces of copper wire of equal length can Ben get?

Francis wants to cover a cardboard measuring 24cm by 42cm with square colored paper of the same size.He uses only whole square colored papers.

A)Find the greatest possible length of the side of each square colored paper.

B) Find the number of such square colored papers that Francis needs to cover the cardboard.

Baker Rin wants to make some rectangular cookies. He rolled the dough evenly into a rectangular shape measuring 20cm by 36cm.

A) Find the greatest possible length of the side of each rectangular cookie.

B) Find the number of such square cookies Baker Rin can make from the dough.