Question

1. If HCF of 44 and 121 is expressible in the form 44m - 121, then the value of m is______​

Answer 1

Answer:

11

Step-by-step explanation:

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Answer 2

The value of m is 3.

Explanation:

• HCF = Highest common factor of two numbers that can divide them .

Prime factorization of 44 and 121:

44 =  2 x 2 x 11

121 = 11 x 11

⇒ Highest common factor of 44 and 121 = 11

Since HCF of 44 and 121 is expressible in the form 44m - 121.

⇒  44m - 121. =11

⇒ 44m =11+121

⇒ 44m=132

⇒ m = 3 [Divide both sides by 44]

Hence, the value m is 3.

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