Question

A fruit vendor has 60 apples 84 banana 108 oranges These fruits have to be put in heaps of equal numbers what is the maximum number of fruits in a heap How many such heaps would be formed

Answer 1

Answer:

Take HCF of 60 ,84,108

ans = 12

Answer 2

ANSWER -

Maximum number of fruits in a heap are 53.

EXPLANATION -

A fruit vendor has 318 apples, 848 bananas and 689 oranges. These fruits have to put in heaps of equal numbers.

We need to calculate the maximum number of fruits in a heap.

Maximum number of fruits in a heap is HCF of all three number.

First we find the HCF of all three number.

Prime factorization of each number:

318 = 2 × 3 × 53

848 = 2 × 2 × 2 × 2 × 53

689 = 13 × 53

As we can see 53 is only number which is common in all three factors.

∴ HCF = 53

Thus, Maximum number of fruits in a heap are 53.