GCD of 31, 902, 643, 395 Calculator

Given Input numbers are 31, 902, 643, 395

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 902

List of positive integer divisors of 902 that divides 902 without a remainder.

1, 2, 11, 22, 41, 82, 451, 902

Divisors of 643

List of positive integer divisors of 643 that divides 643 without a remainder.

1, 643

Divisors of 395

List of positive integer divisors of 395 that divides 395 without a remainder.

1, 5, 79, 395

Greatest Common Divisior

We found the divisors of 31, 902, 643, 395 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 31, 902, 643, 395 is 1.

Therefore, GCD of numbers 31, 902, 643, 395 is 1

Given Input Data is 31, 902, 643, 395

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

Prime Factorization of 31 is 31

Prime Factorization of 902 is 2 x 11 x 41

Prime Factorization of 643 is 643

Prime Factorization of 395 is 5 x 79

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, 902) = 27962

GCD(31, 902) = ( 31 x 902 ) / 27962

GCD(31, 902) = 27962 / 27962

GCD(31, 902) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 643

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

LCM(1, 643) = 643

GCD(1, 643) = ( 1 x 643 ) / 643

GCD(1, 643) = 643 / 643

GCD(1, 643) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 395

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

LCM(1, 395) = 395

GCD(1, 395) = ( 1 x 395 ) / 395

GCD(1, 395) = 395 / 395

GCD(1, 395) = 1

GCD of 31, 902, 643, 395 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 50, 331, 494, 568
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• GCD of 87, 140, 941, 498
• GCD of 35, 187, 991, 760
• GCD of 54, 864, 156, 578

1. What is the GCD of 31, 902, 643, 395?

GCD of 31, 902, 643, 395 is 1

2. Where do I get the detailed procedure to find GCD of 31, 902, 643, 395?

You can find a detailed procedure to find GCD of 31, 902, 643, 395 on our page.

3. How to find GCD of 31, 902, 643, 395 on a calculator?

You can find the GCD of 31, 902, 643, 395 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.