Charlie and Liz have each started nibbling at their chocolate bars.

They bump into each other in the park and this is what they have:

Charlie has 16 squares. Liz has 10 squares. **Would they be able to share them equally?**

The following week, Charlie and Liz meet again. Here is the chocolate they plan to share this time:

**Would they be able to share their chocolate equally this time?**

In the weeks that follow, Charlie and Liz meet up regularly at the park. Here are the numbers of squares of chocolate they have each time they meet:

9 and 5

4 and 7

12 and 10

5 and 6

When will they be able to share their chocolate equally?

**Can you create an image (diagram) that helps you decide?**

If Liz and Charlie are sharing a large number of Lego bricks, creating an image to represent all the bricks will take too long...

**Can you create simple diagrams to help you decide if they will be able to share their bricks equally, if**

- Liz had 41 and Charlie had 72 bricks?
- Charlie had 4 621 457 and Liz had 659 201 bricks?!

**Can you explain how you decide if any two large numbers of bricks can be shared equally?**

*You might now like to try Chocolate for Three*