If HCF of 144 and 180 is expressed in the form 13m-3,find the value of m.
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144=2^4 × 3^2
180=2^2 × 3^2 ×5
HCF of 144 and 180 is (2^2 × 3^2)=36
Given HCF of 144 and 180 is 13m-3
36=13m-3
13m=36+3
13m=39
m=39/13
m=3
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