Question

What is the CORRECT definition of Highest Common Factor (H.C.F) or the Greatest Common Divisor (G.C.D)?
(a) The lowest number that divides two or more numbers with remainder.
(b) The greatest number that divides two or more numbers without remainder.
(c) The greatest number that divides at least one of the numbers without remainder.
(d) The smallest number that divides two or more numbers without a remainder.

Answer 1

The correct option is (b)

Step-by-step explanation:

Option (b) is correct because HCF is defined as the highest number that divided two or more number completely without any remainder

This can be understood with the help of an example as follow

If we take 3, 21, 18

If we have to find out the HCF for this, it will be "3" because it completely divides all of the three without any remainder