Question

The hcf of two smallest prime number and the largest two digit composite number is

Answer 1

Answer:

The hcf is 11

Step-by-step explanation:

This is Because

99=Largest 2 digit composite no.

11=Smallest 2 digit composite no.

99 is divisible by 11. Therefore, 11 is the HCF of 11 and 99.

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Answer 2

Answer is 1

Explanation -

the smallest two digit number = 10 and largest 2 digit number = 99

To find HCF of 10 and 99 , we apply euclid's division Lemma by taking a = 99 and b = 10.

99 = 10×9+9

As r not equal to 0 , we apply lemma Again by taking a = 10, B = 9.

10 = 9×1+1

As r not equal to zero we apply lemma Again by taking a = 9 , b = 1

9 = 1×9+0

So HCF( 99,10) = 1

that is the number 99 and 10 are co-prime

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