HCF and LCM

• Factors and Multiples: When the number ‘m’ divides another number ‘n’ exactly, then we can say that ‘m’ is a factor of ‘n’. In this case, ‘n’ is called a multiple of ‘m’.
• HCF (Highest Common Factor): The HCF of two or more than two numbers is the greatest number that divides each of them exactly. Methods to find HCF of a given number:

L.C.M (Least Common Multiple): The least number which is exactly divisible by each one of the given numbers is called their L.C.M.

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

Co – primes: Two numbers are said to be co – primes if their H.C.F is 1.

H.C.F and L.C.M of Fractions:

H.C.F. = H.C.F of Numerators / L.C.M of Denominators

L.C.M. = L.C.M of Numerators / H.C.F of Denominators

H.C.F. and L.C.M. of Decimal Fractions = If the given set of numbers has decimal fractions, then first of all make the same number of decimal places by suffixing zero(s) if required. Thereafter, treat these numbers without decimal point as integers and find HCF/LCM as required. In the result, put a decimal point leaving as many digit's on it's right as there are in each of the numbers.