Practice the worksheet on H.C.F. of monomials. The questions
are based on finding the highest common factor of two or more monomials.
We know, the highest common factor (H.C.F.) of two or more monomials is the monomial of highest dimensions which divides each of them without remainder.For example: The highest common factor of m6, m5, m4, m3, m2 is m2.
If the monomials have numerical coefficients, find by Arithmetic their greatest common measure, and prefix it as a coefficient to the algebraical highest common factor.For example: The highest common factor of 14m4a3b, 21m2a4b and 35m3ab4 is 7m2ab; for it consists of the product of:
(i) the greatest common measure of the numerical coefficients;
(ii) the highest power of each letter which divides everyone of the given expressions.
1. Find the highest common factor (H.C.F.) of the two monomials:(i) a2b and a2b2
2. Find the highest common factor (H.C.F.) of the three monomials:(i) 3x2y2, 6x3y and 4x4y2
Answers for the worksheet on H.C.F. of monomials are given below to check the exact answers of the above questions.
1. (i) a2b
(ix) 5z(x) 7p2