there are 527 apples,646 pears,748 oranges.these are to be aranged in heaps containing the same number of fruits.find the greatest number of fruits possible in each heap.how many heaps are formed ?
Answers
Answer:
Step-by-step explanation:
apples = 527
pears = 646
oranges = 748
we will now find the HCF of 527, 646 and 748.
finding HCF of 527, 646 and 748 by division method.
527 ) 646 ( 1
- 527
------
119 ) 527 ( 4
- 476
-------
51 ) 119 ( 2
- 102
------
17 ) 51 ( 3
- 51
-----
0
now, dividing 748 by 17.
17 ) 748 ( 4
- 68
-----
68
- 68
-----
0
there will be 17 heaps in which each heap will contain the same number of Apples, same number of pears and the same number of oranges.
in each heap,
Apples = 527 / 17 = 31
Pears = 646 / 17 = 38
oranges = 748 / 17 = 44
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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. So, the greatest number of fruits in each heap will be 17.
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