GCD of 31, 971, 467, 635 Calculator

Given Input numbers are 31, 971, 467, 635

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

Divisors of 31

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

1, 31

Divisors of 971

List of positive integer divisors of 971 that divides 971 without a remainder.

1, 971

Divisors of 467

List of positive integer divisors of 467 that divides 467 without a remainder.

1, 467

Divisors of 635

List of positive integer divisors of 635 that divides 635 without a remainder.

1, 5, 127, 635

Greatest Common Divisior

We found the divisors of 31, 971, 467, 635 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 31, 971, 467, 635 is 1.

Therefore, GCD of numbers 31, 971, 467, 635 is 1

Given Input Data is 31, 971, 467, 635

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

Prime Factorization of 31 is 31

Prime Factorization of 971 is 971

Prime Factorization of 467 is 467

Prime Factorization of 635 is 5 x 127

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(31, 971) = 30101

GCD(31, 971) = ( 31 x 971 ) / 30101

GCD(31, 971) = 30101 / 30101

GCD(31, 971) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 467

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

LCM(1, 467) = 467

GCD(1, 467) = ( 1 x 467 ) / 467

GCD(1, 467) = 467 / 467

GCD(1, 467) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 635

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

LCM(1, 635) = 635

GCD(1, 635) = ( 1 x 635 ) / 635

GCD(1, 635) = 635 / 635

GCD(1, 635) = 1

GCD of 31, 971, 467, 635 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 43, 352, 215, 906
• GCD of 95, 940, 109, 140
• GCD of 65, 571, 497, 146
• GCD of 87, 283, 548, 110
• GCD of 95, 934, 373, 240

1. What is the GCD of 31, 971, 467, 635?

GCD of 31, 971, 467, 635 is 1

2. Where do I get the detailed procedure to find GCD of 31, 971, 467, 635?

You can find a detailed procedure to find GCD of 31, 971, 467, 635 on our page.

3. How to find GCD of 31, 971, 467, 635 on a calculator?

You can find the GCD of 31, 971, 467, 635 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.