Question

find hcf of 56,96 and 324 by algorithm

Answer 1

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Answer 2

Answer:

HCF of 56, 96 and 324 is 4

Step-by-step explanation:

Given three numbers 56,96 and 324

we have to find the HCF using Euclid's division algorithm

By using Euclid's division algorithm

a=bq+r

where a > b

we first find the HCF of 324 and 96

324=96(3)+36

96=36(2)+24

36=24(1)+12

24=12(2)+0

HCF of 324 and 96 is 12.

HCF(56,96,324)=HCF(56,12)

Now find the hcf of 12 and 56,

56=12(4)+8

12=8(1)+4

8=4(2)+0

HCF of 12 and 56 is 4.

Therefore, HCF of 56, 96 and 324 is 4