Question

There are 527 apples 646 pears and 748 Orange these are to be arranged in heaps containing the same number of fruits find the greatest number of fruits possible in each heaps how many heaps are formed ​

Answer 1

Number of apples = 527

Number of Pears = 646

Number of oranges = 748

Now, we have to find the greatest number of fruits possible in each heaps and how many heaps will form.

So, we have to find their HCF (Highest Common Factor) :

Finding HCF of (748 and 646) by Euclid's Division lemma :

748 = 646 × 1 + 102

646 = 102 × 6 + 34

102 = 34 × 3 + 0

Here HCF(748,646) = 34

Then , HCF (34,527) :

527 = 34 × 15 +17

34 = 17 × 2 + 0

Here HCF = 17

So the required HCF is 17.

And the maximum numbers of fruits in each heap is 17.

Also , the total number of heaps = Total Fruits / Maximum Number of Fruits

= (527+748+646)/17

= (1921)/17 = 113

The number of heaps = 113