Question

fruit vendor has 408 Apple 494 bananas and 949 Orange these fruits have to be put in heap equal numbers what it the maximum number of fruits in a heap how much he would be formed​

Answer 1

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.