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Q.

If HCF of 144 and 180 is expressed in the form 13m – 16. The value of m will be ____.


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Detailed Solution

HCF of 144 and 180 = 36
Now it is told to us that HCF is in terms of 13m – 16.
Now, we are given in the question as HCF = 13m – 16 and then by equating is to 36, we get:
36 = 13m – 16
Now let us simplify it and get the value of m.
13m = 36 + 16
Thus m = 4
 
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