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Applications of HCF & LCM in Real-World Problems

There are 527...

Question

There are 527 apples, 646 pears and 748 oranges. 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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Solution

Number of apples = 527
Number of pears = 646
Number of oranges = 748
The fruits are to be arranged in heaps containing the same number of fruits.
The greatest number of fruits possible in each heap will be given by the HCF of 527, 646 and 748.

Firstly, we will find the HCF of 527 and 646.

∴ HCF of 527, 646 and 748 = 17

So, the greatest number of fruits in each heap will be 17.

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