Calculations based on Highest common factor(HCF) or greatest common measure(GCM) or Greatest common divisor(GCD) and Least common multiple (LCM) also reducing fraction to its lowest term

Calculations on H.C.F and L.C.M

Factors and Multiples : If a number a divides another number b exactly, we say that a is a factor of b. In this case, b is called a multple of a.

Highest Common Factor (H.C.F.) or Greatest Common Measure (G.C.M.) or Greatest Common Divisor (G.C.D.):

The H.C.F. of two or more than two numbers is the greatest number that divides each of them exactly.

Least Common Multiple (L.C.M.):

The least number which is exactly divisible by each one of the given numbers is called their L.C.M.

We follow Division Method to find H.C.F and L.C.M

Product of two numbers = Product of their H.C.F and L.C.M

To Compute lowest term of a fraction

1. Find H.C.F of numerator and denominator
2. Divide numerator and denominator with obtained H.C.F.

To find H.C.F and L.C.M of fraction

\[H.C.F = \frac{H.C.F \: of\: numerators}{L.C.M \: of\: denominators} \]

\[L.C.M = \frac{L.C.M\: of \: numerators}{H.C.F\: of \: denominators} \]