Question

Find hcf and lcm for 37 and 49 with prime factorization method

Answer 1

hcf is 1 and lcm is 37*49

Answer 2

Answer:

The HCF of the numbers 37 and 49 is 1.  

The LCM of the numbers 37 and 49 is 1813.

Step-by-step explanation:

Given : Numbers 37 and 49.

To find : The HCF and LCM by prime factorization method?

Solution :

The prime factors of the numbers are,

37 is a prime number which is only divisible by itself and 1.

$49=7\times 7$

As there is no common factor except 1.

So, The HCF of the numbers 37 and 49 is 1.

We know,

Product of two numbers = HCF × LCM

37 × 49 =1 × LCM

1813 = LCM

So, The LCM of the numbers 37 and 49 is 1813.