find q and r for the following pairs of positive integers a and b , satisfying a=bq+r . a=132, b=11.
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The two numbers are 132 and 11.
a=132 and b=11
Applying Euclid's Division Lemma,
a=bq+r
→132=11×12+0
Hence,11 is the the HCF of 11 and 132.
Also, comparing the two equations,
q = 12 and r = 0
•Euclid's Division Lemma:
There exist two non negative integers a and b(where a>b),such that q and r satisfy the equation:
a=bq+r
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