there are 527 apples 646 pears and 748 oranges .these are to be arranged in heaps containing same number of fruits. find the greatest number of fruits possible in each heap .how many heaps are formed
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Given :
- Number of apples = 527
- Number of pears = 646
- Number of oranges = 748
To Find :
- How many heaps are formed ?
Solution :
To Find number of heaps, we've to find HCF of 527, 646, 748
527 = 17 × 31
646 = 2 × 17 × 19
748 = 2 × 2 × 11 × 17
So, here the common number is 17
Thus, HCF of 527, 646, 748 is 17
•°• 17 heaps can be formed.
⇒ Number of apples in each heap = 527 / 17 = 31
⇒ Number of pears in each heap = 646 / 17 = 38
⇒ Number of oranges in each heap = 748 / 17 = 44
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