Question

John and Mary have 351 and 360 marbles respectively they make heaps of equal number of marbles. how Many maximum marble can be put in heap how many such heaps can be made in all​

Answer 1

Answer:

Each heap contains 9 marbles and we have 79 heaps in total.

Step-by-step explanation:

This question is testing the concept of GCD.

So, we need to get the GCD of 351 and 360

We do this as follows:

351 = 3 × 3 × 3 × 13

360 = 2 × 2 × 2 × 3 × 3 × 5

From the prime factors, the GCD of 360 and 351 is = 3 × 3 = 9

So, each heap will have 9 marbles.

The number of heaps for each:

John = 351/9 = 39 heaps

Mary = 360/9 = 40 heaps

The total number of heaps is given by = 39 + 40 = 79

Answer 2

If each heap has 9 marbles,
You will have 79 heaps