find the HCF of 39 and 26 by the method of Euclid division method
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Answer : 13
Explanation:
Divide 39 by 26
Using Euclid division lemma ,
Using Euclid division lemma , a=bq+r
39 = (26×1) + 13
Now dividing divisor 26 by remainder 13 ,
26 = (13×2) +0
We have now got our remainder as 0 , So the highest common factor of 39 and 26 according to Euclid division lemma is 13 .
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Wr are proceeding to find the HCF of 39 and 26 by the method of Euclid Division Method
This process is done by the following Steps
First Divide the larger number by the smaller one
So Remainder =13
Now Divide the smaller number by the above remainder
Here Remainder = 0
Now the remainder is zero
We should not proceed further
Hence it is observed that 13 is the
remainder that is not zero.
Hence the required HCF = 13
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