If the LCM of $$20x^3 y^2 \, \text{and} \,10x^4 y^4\, \text{is} \,20x^4 y^4$$​, find the HCF.

Correct option is D

Formula Used:

LCM $$\times$$ HCF = Product of two numbers

Solution:

​$$20x^4 y^4 \times \text{HCF} = 20x^3 y^2\times10x^4 y^4\\ \text{HCF}= \frac{20x^3 y^2\times10x^4 y^4}{20x^4 y^4 }\\\ \\ \text{HCF} = \frac{200x^7 y^6}{20x^4 y^4 }\\\ \\ \text{HCF} = 10x^3y^2$$​​