Question

using fundamental theorem of arithmetic find the HCF and LCM of 306 and 657 also verify that HCF multiply LCM equal to product of numbers

Answer 1

LCM is =22338
HCF is =3 square =9
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Answer 2

Answer:

HCF and LCM is 9 and 22338

Step-by-step explanation:

Given two numbers 306 and 657

we have to find  HCF and LCM of 306 and 657 using fundamental theorem of arithmetic.

Fundamental theorem of arithmetic is unique prime factorization method

The prime factorization is

$306=2\times 3\times 3\times 17$

$657=3\times 3\times 73$

$HCF(306, 657)=3\times 3=9$

$LCM(306,657)=2\times 3\times 3\times 17\times 73=22338$

Verification:

$HCF\times LCM=\text{Product of numbers}$

$9\times 22338= 306 \times 657$

$201042=201042$

Verified