GCD of 91, 87, 31, 38 Calculator

Given Input numbers are 91, 87, 31, 38

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 87

List of positive integer divisors of 87 that divides 87 without a remainder.

1, 3, 29, 87

Divisors of 31

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

1, 31

Divisors of 38

List of positive integer divisors of 38 that divides 38 without a remainder.

1, 2, 19, 38

Greatest Common Divisior

We found the divisors of 91, 87, 31, 38 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 91, 87, 31, 38 is 1.

Therefore, GCD of numbers 91, 87, 31, 38 is 1

Given Input Data is 91, 87, 31, 38

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

Prime Factorization of 91 is 7 x 13

Prime Factorization of 87 is 3 x 29

Prime Factorization of 31 is 31

Prime Factorization of 38 is 2 x 19

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, 87) = 7917

GCD(91, 87) = ( 91 x 87 ) / 7917

GCD(91, 87) = 7917 / 7917

GCD(91, 87) = 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 38

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

LCM(1, 38) = 38

GCD(1, 38) = ( 1 x 38 ) / 38

GCD(1, 38) = 38 / 38

GCD(1, 38) = 1

GCD of 91, 87, 31, 38 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 96, 82, 29, 44
• GCD of 20, 37, 79, 56
• GCD of 81, 37, 98, 27
• GCD of 30, 55, 52, 91
• GCD of 47, 53, 13, 14

1. What is the GCD of 91, 87, 31, 38?

GCD of 91, 87, 31, 38 is 1

2. Where do I get the detailed procedure to find GCD of 91, 87, 31, 38?

You can find a detailed procedure to find GCD of 91, 87, 31, 38 on our page.

3. How to find GCD of 91, 87, 31, 38 on a calculator?

You can find the GCD of 91, 87, 31, 38 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.