# Divisibility, HCF & LCM Tricks and Formulas

Get unlimited access to the best preparation resource for UGC : Get detailed illustrated notes covering entire syllabus: point-by-point for high retention.

## Divisibility Tests

• A number is divisible by 2, if its unit’s place digit is 0, 2, 4, or 8

• A number is divisible by 3, if the sum of its digits is divisible by 3

• A number is divisible by 4, if the number for med by its last two digits is divisible by 4

• A number is divisible by 8, if the number formed by its last three digits is divisible by 8

• A number is divisible by 9, if the sum of its digits is divisible by 9

• A number is divisible by 11, if, starting from the RHS, (Sum of its digits at the odd place) – (Sum of its digits at even place) is equal to 0 or 11x

## Application of H.C.F

The greatest natural number that will divide x, y and z leaving remainders r1, r2 and r3, respectively, is the

## Application of L.C.M

The smallest natural number that is divisible by x, y and z leaving the same remainder r in each case is the

Developed by: