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Find the HCF of the following by prime – factorization and by continued division method. 126, 216

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Find the HCF of the following by prime – factorization and by continued division method.

126, 216

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126, 216 

Factorization method

126 = 2 x 3 x 3 x 7 

216 = 2 x 2 x 2 x 3 x 3 x 3 

HCF = 2 x 3 x 3 = 18 

∴ HCF of 126 .and 216 is 18. 

Continued division method:

HCF = 18

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