Question

There are 527 apple 646 pears and 748 orange.these are to be arranged in heaps containing the same number of fruit find the greatest number of fruits possible in each heap .how many heaps are formed

Answer 1

Solution:

31 , 38 , 44.

Step-by-step explanation:

Number of apples = 527

Number of pears = 646

Number of oranges = 748

We can find number of Heaps,Greatest number of Fruits.

To find,

We should find the (HCF) HIGHEST COMMON FACTOR.

To find HCF we should do Prime factorisation .

Finding the HCF by prime factorisation :

527 = 17 X 31

646 = 2 X 17  X 19

748 = 2  X 2 X 11  X 17

HCF of 527 , 646 , 748 = 17

Hence , 17 Heaps can be formed.

∴ Number of apples in each heap = 527 / 17

                                                     = 31

Number of pear in each heap = 646 / 17  

                                                  = 38  

Number of oranges in each heap = 748 / 17

                                                        = 44

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