Question

use the method of fundamental theorem of arithmetic to find the hcf of 630 945 and 1470

Answer 1

Question :- use the method of fundamental theorem of arithmetic to find the hcf of 630, 945 and 1470 .

Solution :-

fundamental theorem of arithmetic :-

• Every composite number can be factorized as a product of primes .
• Also called the unique factorization theorem or the unique prime factorization theorem .

So,

Prime factors of 630, 945 and 1470 are :-

→ 630 = 2 * 3 * 3 * 5 * 7

→ 945 = 3 * 3 * 3 * 5 * 7

→ 1470 = 2 * 3 * 5 * 7 * 7

HCF = 3 * 5 * 7 = 105 . (Ans.)

Therefore, HCF of 630 , 945 and 1470 is 105.

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