Question

find the H.C.F of the following monomials a)21x⁶y⁷,35x⁴y³zand 42x⁷y⁴z²​

Answer 1

Step-by-step explanation:

hcf means highest common factor

so

$21 {x}^{6} {y}^{7} = 3 \times 7 \times x \times x \times x \times x \times x \times x \times y \times y \times y \times y \times y \times y \times y \\ 35 {x}^{4} {y}^{3} z = 5 \times 7 \times x \times x \times x \times x \times y \times y \times y \times z \\ 42 {x}^{7} {y}^{4} {z}^{2} = 2 \times 3 \times 7 \times x \times x \times x \times x \times x \times x \times x \times y \times y \times y \times y \times z \times z \\ so \: highest \: common \: factor \: in \: these \: 3 \: 7 \: and \: {x}^{4} and {y}^{3} \\ so \: the \: hcf \: is \: 7 {x}^{4} {y}^{3}$

hope you understand