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Q.

Find the HCF of numbers 72 and 124 using Euclid division lemma.


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a

    12

b

    32

c

    9

d

    4 

answer is D.

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Detailed Solution

Given,
The two numbers 72 and 124
Let H be the H.C.F of 72 and 124.
As we know,
Euclid division lemma states that if we have two numbers a and b, then there exist unique integers p and q which satisfies the condition a=bq+r,0r<b  .
Using Euclid division lemma, we get,
Question Image Question Image Question Image Question Image Question Image Question Image  H=4  .
Thus, the HCF is 4.
Therefore, option(4)     is correct answer.
 
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Find the HCF of numbers 72 and 124 using Euclid division lemma.