Question

find the HCF and LCM using the property that is product of HCF and LCM is equal to the product of the numbers



a) 117and221
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Answer 1

$117=13*3^2\\221=13*17\\\\\text{HCF=product of common factors with their lowest powers.}\\\text{LCM=product of all the factors with their highest powers.}$

$\bold{HCF=13}\\\\\bold{LCM=13*17*3^2=1989}$

• $HCF*LCM=13*1989$

                               $\displaystyle{ = 25857}$

• $\text{Now, product of both the numbers = 117*221}$

                                                               $=25857$

Answer 2

$\large\underline\bold{ANSWER \red{\huge{\checkmark}}}$

$117=13*3^2\\221=13*17\\\\\text{HCF=product of common factors with their lowest powers.}\\\text{LCM=product of all the factors with their highest powers.}$

$\bold{HCF=13}\\\\\bold{LCM=13*17*3^2=1989}$

$HCF*LCM=13*1989$

                               $\displaystyle{ = 25857}$

$\text{Now, product of both the numbers = 117*221}$

                                                               $=25857$