If HCF of 144 and 180 is expressed in the form 13m-16. Find the value

1.	If HCF of 144 and 180 is expressed in the form 13m-16. Find the value of m.
Answer» 180 = 144 × 1 + 36 144 = 36 × 4 + 0 ∴ HCF(180 -144) = 36 36 = 13m − 16 Solving, we get m = 4 HCF of 144 and 180 is 36. According to the question, 13m - 16 = 36 , 13m=52 ; m= 4

If HCF of 144 and 180 is expressed in the form 13m-16. Find the value of m.

Answer»

180 = 144 × 1 + 36

144 = 36 × 4 + 0

∴ HCF(180 -144) = 36

36 = 13m − 16

Solving, we get m = 4

HCF of 144 and 180 is 36. According to the question, 13m - 16 = 36 , 13m=52 ; m= 4

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If HCF of 144 and 180 is expressed in the form 13m-16. Find the value of m.

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