Question

If $20x^4{y}^3,16x^2{y}^4,24x^3{y}^2$ are monomials, then its H.C.F is

• A. $4xy$
• B. $4x^{2}y$
• C. $4x^2{y}^2$
• D. $4x{y}^2$

Answer 1

The correct option is C $4x^2{y}^2$

$\Rightarrow$ $20x^4{y}^3=2\times 2\times 5\times x\times x\times x\times x\times y\times y\times y$

$\Rightarrow$ $16x^2{y}^4=2\times 2\times 2\times 2\times x\times x\times y\times y\times y\times y$

$\Rightarrow$ $24x^3{y}^2=2\times 2\times \times 2\times 3\times x\times x\times x\times y\times y$

$\Rightarrow$ Common factors between

$20x^4{y}^3,16x^2{y}^4,24x^3{y}^2=2\times 2\times x\times x\times y\times y$

$\therefore$ Required H.C.F is $4x^2{y}^2.$