Question

Define HCF of two positive integers and find the HCF of the following pairs of numbers . 1) 32 and 54​

Answer 1

Step-by-step explanation:

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Answer 2

Answer:

The largest positive integer that divides given two positive integers is called the highest common factor of positive integer

to find the HCF of the given pairs of numbers

32 and 54

Here 54>32

let a= 54and b= 32

54=32×1+22

( by applying division lemma,a=bq+r)

here reminder=22 is not =0, so take new

dividend as32and divisor as22

let's=32and b=22

32=22×1+10

here reminder=10 is not=0,so take new

dividend as 22 and new divisor as 10

let a=22 and b=10

22=10×2+2

here reminder is 2 is not=0,so take new dividend as 10 and new divisor as 2

let a=10 and b=2

10=2×5+0

here reminder is zero and divisor is 2

Hence of HCF is 32 and 54 is 2