Question

There are 527 apples,646pears ,748oranges. these are to be arranged in heaps containing the same number of fruits. find the greatest number of fruits possible in each heap. how many heaps are formed?

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Answer 1

✿ AnSwer :

• 17 heaps are formed.

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✒ GiVen :

• Number of Apple's = 527
• Number of Pear's = 646
• Number of Orange's = 748

✒ To FinD :

• Total number of heaps formed = ?

✒ SoluTion :

Here, we can find the total number of heaps formed by just finding the H.C.F. of 527, 646 and 748.

So, Accordingly,

$\implies$ 527 = 17 × 31

$\implies$ 646 = 2 ×17 × 19

$\implies$ 748 = 2 × 2 × 17 × 11

It can be observed that the H.C.F. of 527, 646 and 748 = 17.

★ So, 17 heaps can be formed.

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⛄ Let us find the number of fruits in each heap :

• Apple's in each heap = 527/17 = 31

• Pear's in each heap = 646/17 = 38

• Orange's in each heap = 748/17 = 44

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