Apt Lcm Hcf Problems — Free Aptitude Tutorial
Learn Apt Lcm Hcf Problems in Aptitude with a free, beginner-friendly tutorial, examples and practice for Indian students on Syllab.in.
TL;DR: Learn Apt Lcm Hcf Problems in Aptitude with a free, beginner-friendly tutorial, examples and practice for Indian students on Syllab.in.
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Apt Lcm Hcf Problems in Aptitude
HCF (Highest Common Factor) = largest number that divides all given numbers exactly. Found using prime factorization or Euclidean algorithm.
LCM (Least Common Multiple) = smallest number divisible by all given numbers. LCM = product of highest powers of all prime factors.
Key relation: HCF × LCM = Product of two numbers (valid only for two numbers).
Word problem clue: "largest tile/container/unit" → HCF. "smallest time to meet again/ring together" → LCM.
For more than two numbers: HCF = common to all using successive method. LCM = build from prime factors.
Apt Lcm Hcf Problems — Syntax
HCF(a,b) × LCM(a,b) = a × b LCM: use highest powers of all primes HCF: use lowest powers of common primes Three numbers: HCF(a,b,c) = HCF(HCF(a,b), c)
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