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

Correct option is D

Given:

We are given the two expressions:

$$20x^3y^2$$ ,  $$10x^4y^4$$​ 

and their least common multiple (LCM) = 20x4y420x^4y^4$$20x^4y^4$$

Formula Used:

 LCM × HCF = Product of the numbers

Solution:

We substitute the values into the formula ;LCM×HCF=Product of the numbers\text{LCM} \times \text{HCF} = \text{Product of the numbers}

(20x4y420x^4y^4$$20x^4y^4$$)×HCF =  ($$20x^3y^2$$)×($$10x^4y^4$$ )

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

$$\text{HCF} = 10x^3y^2$$  

The HCF  of  $$20x^3y^2$$ and $$10x^4y^4$$ = $$10x^3y^2$$​​

10x4y410x^4y^4

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