In a teachers' workshop, the number of teachers teaching French, Hindi and English are 48, 80 and 144 respectively. Find the minimum number of rooms required if in each room the same number of teachers are seated and all of them are of the same subject.

HCF Using Prime Factorisation Method | PadhAiPro

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TextHCF Using Prime Factorisation MethodCBSE PYQ

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Assertion (A) : For two prime numbers x and y (x < y), HCF(x, y) = x and LCM(x, y) = y. Reason (R) : HCF(x, y) ≤ LCM(x, y), where x, y are any two natural numbers.

Assertion-ReasonHCF Using Prime Factorisation MethodLCM Using Prime Factorisation MethodRelationship Between HCF and LCM of Two Numbers

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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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.

TextHCF Using Prime Factorisation MethodLCM Using Prime Factorisation MethodRelationship Between HCF and LCM of Two NumbersIrrationality of Square Root of Prime NumbersProof by Contradiction Method

The HCF of 40, 110 and 360 is :

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Let a and b be two positive integers such that a = p³ q⁴ and b = p² q³, where p and q are prime numbers. If HCF(a, b) = pᵐqⁿ and LCM (a, b) = pʳqˢ, then (m + n)(r + s) =

MCQ (Single)HCF Using Prime Factorisation MethodLCM Using Prime Factorisation MethodRelationship Between HCF and LCM of Two Numbers