Find the HCF and LCM of 117 and 221- - Maths Q-A

Find HCF and LCMFirst, we prime factorize the numbersPrime factorize 117 = 3^2× 13Prime factorize 221 = 13× 17Here, the common of both is 13HCF=13LCM=13× 17×3^2 ...

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Standard X

Mathematics

GCD of Polynomials

Find the HCF ...

Question

Find the HCF and LCM of $117$ and $221 .$

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Solution

Find HCF and LCM
First, we prime factorize the numbers
Prime factorize $117 = 3^{2} \times 13$
Prime factorize $221 = 13 \times 17$
Here, the common of both is $13$
HCF $= 13$
LCM $= 13 \times 17 \times 3^{2} = 1989$
Hence, HCF $= 13$ and LCM $= 13 \times 17 \times 3^{2} = 1989$ .

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Find the HCF and LCM of 117and221.

Find HCF and LCMFirst, we prime factorize the numbersPrime factorize 117=32×13Prime factorize 221=13×17Here, the common of both is 13HCF=13LCM=13×17×32=1989Hence, HCF=13 and LCM=13×17×32=1989.

Find the HCF and LCM of $117$ and $221 .$

Find HCF and LCM
First, we prime factorize the numbers
Prime factorize $117 = 3^{2} \times 13$
Prime factorize $221 = 13 \times 17$
Here, the common of both is $13$
HCF $= 13$
LCM $= 13 \times 17 \times 3^{2} = 1989$
Hence, HCF $= 13$ and LCM $= 13 \times 17 \times 3^{2} = 1989$ .