A sweet seller has 420 kaju barfis and 130 badam barfis. She wants to stack them in such a way that each stack has the same number of barfis of the same type, and they take up the least area of the tray.

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CASE_STUDIESHCF Using Prime Factorisation Method3 sub-questions

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If x = ab³ and y = a³b, where a and b are prime numbers, then [HCF (x, y) – LCM (x, y)] is equal to :

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Prove that √2 is an irrational number.

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HCF Using Prime Factorisation Method

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Proof by Contradiction Method

Let x and y be two distinct prime numbers and p = x²y³, q = xy⁴, r = x⁵y². Find the HCF and LCM of p, q and r. Further check if HCF (p, q, r) × LCM (p, q, r) = p × q × r or not.

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The HCF of 40, 110 and 360 is :

MCQ (Single)HCF Using Prime Factorisation Method

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.

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Using prime factorisation, find the HCF of 180, 140 and 210.

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