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Prove that √2 is an irrational number.
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Assertion (A) : For any two natural numbers a and b, the HCF of a and b is a factor of the LCM of a and b. Reason (R) : HCF of any two natural numbers divides both the numbers.
Using prime factorisation, find the HCF of 180, 140 and 210.
The HCF of 65 and 117 is:
The HCF of the smallest composite number and the smallest prime number is:
If two positive integers a and b are written as a = x³y² and b = xy³, where x, y are prime numbers, then HCF(a, b) is: