Question

Find the HCF and LCM of following using Fundamental Theorem of Arithmetic method 377, 435 and 667.

Answer 1

Hope this helps.......

Answer 2

Answer:

The HCF and LCM are 29 and 130065

Step-by-step explanation:

Given three numbers 377, 435 and 667

we have to find the HCF and LCM using Fundamental Theorem of Arithmetic method

The fundamental theorem of arithmetic, also called the unique factorization theorem

The prime factorization of above three numbers are

$377=13\times 29$

$435=3\times 5\times 29$

$667=23\times 29$

$LCM(377, 435, 667)=3 \times 5 \times 13 \times 23 \times 29= 130065$

$HCF=29$

The HCF and LCM are 29 and 130065