Question

Find hcf of 26 and 91. also find lcm and verify that hcf*lcm=product of numbers

Answer 1

Answer:

The HCF of 26 and 91 is  13.

The LCM of 26 and 91 is  182.

Step-by-step explanation:

Given : Numbers 26 and 91

To find : The HCF of the numbers also find LCM and verify that HCF×LCM=Product of numbers?

Solution :

The prime factors are  

$26=2\times 13$

$91=7\times 13$

The HCF of 26 and 91 is  13.

The LCM is the least common multiple,

$LCM(13,91)=2\times 7\times 13$

$LCM(13,91)=182$

The LCM of 26 and 91 is  182.

Now, Substitute the values for verification

HCF×LCM=Product of numbers

$13\times 182=26\times 91$

$2366=2366$

Therefore, It is verified.

Answer 2

Answer:

The HCF of 26 and 91 is 13.

The LCM of 26 and 91 is 182.

Step-by-step explanation:

Given : Numbers 26 and 91

To find : The HCF of the numbers also find LCM and verify that HCF×LCM=Product of numbers?

Solution :

The prime factors are

26=2\times 1326=2×13

91=7\times 1391=7×13

The HCF of 26 and 91 is 13.

The LCM is the least common multiple,

LCM(13,91)=2\times 7\times 13LCM(13,91)=2×7×13

LCM(13,91)=182LCM(13,91)=182

The LCM of 26 and 91 is 182.

Now, Substitute the values for verification

HCF×LCM=Product of numbers

13\times 182=26\times 9113×182=26×91

2366=23662366=2366

Therefore, It is verified.

Step-by-step explanation:

Hope It Helps You❤