Q1
What does HCF stand for?
AHighest Common Factor
BHighest Common Fraction
CLowest Common Factor
DLowest Common Fraction
SSCClass 6 (SSC)Mathematics (गणित)Ch 9 · Topic 1
HCF and LCM
HCF (Highest Common Factor) and LCM (Lowest Common Multiple) help us find the largest common factor and smallest common multiple of numbers.
Core concept
HCF is the largest number that divides two or more numbers exactly, found by listing factors or using prime factorisation.
How it works
LCM is the smallest number that is a multiple of two or more numbers, found by listing multiples or using prime factorisation.
Why it matters
HCF is useful for simplifying fractions to their lowest terms and solving problems involving equal grouping.
Key detail
LCM is useful for finding a common denominator when adding or subtracting fractions with different denominators.
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• HCF: largest number dividing numbers exactly.
• Found via factors or prime factorisation.
• LCM: smallest common multiple of numbers.
• Found via multiples or prime factorisation.
• HCF simplifies fractions to lowest terms.
• It also helps equal grouping problems.
• LCM finds common denominators.
• This helps add/subtract different-denominator fractions.