Understanding GCF and LCM
These two concepts are fundamental in number theory and fraction arithmetic.
Greatest Common Factor (GCF)
The GCF (also known as Highest Common Factor or HCF) is the largest positive integer that divides each of the numbers without leaving a remainder. It's useful for simplifying fractions.
Least Common Multiple (LCM)
The LCM is the smallest positive integer that is divisible by each of the integers in the set. It's used when adding or subtracting fractions with different denominators.