Question

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

Answer 1

HEY THERE !

NUMBER OF APPLES=527

NUMBER OF  PEARS=646

NUMBER OF ORANGES =748


WE CAN FIND NUMBER OF HEAPS,GREATEST NUMBER OF FRUITS
BY FINDING HIGHEST COMMON FACTOR (H.C.F)

Finding H.C.F by prime factorisation


527=17*31
646=2*17*19

748=2*2*11*17


SO 17 HEAPS CAN BE MADE

∴THE NUMBER OF
a) APPLES  =31
b) PEARS    =38
c)ORANGES =44


HOPE HELPED!

Answer 2

Solution :-

Number of apples = 527
Number of pear = 646
Number of oranges = 748

We can find the number of heaps to be formed by finding the H.C.F. of 527, 646 and 748

527 = 17*31
646 = 2*17*19
748 = 2*2*17*11

H.C.F. of 527, 646 and 748 = 17

So, 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

Answer.