HCF and LCM - Quant Study Notes for Competitive Exams
Click to study the Complete Theory of HCF and LCM and practice a lot of questions difficulty wise that can be asked in your competitive exam.

HCF and LCM FAQs
What is LCM and HCF?
HCF: Highest Common Factor (HCF) is the largest factor of two or more given numbers which can divide all of these numbers. It is also called Greatest Common Divisor (GCD).
LCM: Lowest Common Multiple (LCM) of two or more numbers is the least number which is divisible by each of these numbers (i.e. leaves no remainder)
What is the HCF of 24 and 36?
12
What is the LCM of 2 and 24?
24
What is the HCF and LCM of fractions?
LCM = (LCM of Numerators)/(HCF of Denominators)
HCF = (HCF of Numerators)/(LCM of Denominators)
It means, if there are numbers like a/b, c/d and e/f. Then, LCM (a/b, c/d, e/f) = [LCM (a, c, e)]/[HCF (b, d, f)] HCF (a/b, c/d, e/f) = [HCF (a, c, e)]/[LCM (b, d, f)]
Name the three ways to find HCF?
1) Long Division method (Best applicable for two numbers)
2) Difference method (Best applicable for numbers which are close to each other)
3) Factor method (Best applicable for numbers in which at least one number is small enough to calculate the factors)
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