GCD of 91, 41, 31, 73 Calculator

Given Input numbers are 91, 41, 31, 73

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 91

List of positive integer divisors of 91 that divides 91 without a remainder.

1, 7, 13, 91

Divisors of 41

List of positive integer divisors of 41 that divides 41 without a remainder.

1, 41

Divisors of 31

List of positive integer divisors of 31 that divides 31 without a remainder.

1, 31

Divisors of 73

List of positive integer divisors of 73 that divides 73 without a remainder.

1, 73

Greatest Common Divisior

We found the divisors of 91, 41, 31, 73 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 91, 41, 31, 73 is 1.

Therefore, GCD of numbers 91, 41, 31, 73 is 1

Given Input Data is 91, 41, 31, 73

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 91 is 7 x 13

Prime Factorization of 41 is 41

Prime Factorization of 31 is 31

Prime Factorization of 73 is 73

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(91, 41) = 3731

GCD(91, 41) = ( 91 x 41 ) / 3731

GCD(91, 41) = 3731 / 3731

GCD(91, 41) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 31

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 31) = 31

GCD(1, 31) = ( 1 x 31 ) / 31

GCD(1, 31) = 31 / 31

GCD(1, 31) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 73

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 73) = 73

GCD(1, 73) = ( 1 x 73 ) / 73

GCD(1, 73) = 73 / 73

GCD(1, 73) = 1

GCD of 91, 41, 31, 73 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 55, 28, 38, 13
• GCD of 51, 85, 97, 45
• GCD of 61, 99, 18, 83
• GCD of 18, 52, 56, 54
• GCD of 43, 12, 11, 17

1. What is the GCD of 91, 41, 31, 73?

GCD of 91, 41, 31, 73 is 1

2. Where do I get the detailed procedure to find GCD of 91, 41, 31, 73?

You can find a detailed procedure to find GCD of 91, 41, 31, 73 on our page.

3. How to find GCD of 91, 41, 31, 73 on a calculator?

You can find the GCD of 91, 41, 31, 73 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.