GCD of 646, 972, 31, 371 Calculator

Given Input numbers are 646, 972, 31, 371

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

Divisors of 646

List of positive integer divisors of 646 that divides 646 without a remainder.

1, 2, 17, 19, 34, 38, 323, 646

Divisors of 972

List of positive integer divisors of 972 that divides 972 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

Divisors of 31

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

1, 31

Divisors of 371

List of positive integer divisors of 371 that divides 371 without a remainder.

1, 7, 53, 371

Greatest Common Divisior

We found the divisors of 646, 972, 31, 371 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 646, 972, 31, 371 is 1.

Therefore, GCD of numbers 646, 972, 31, 371 is 1

Given Input Data is 646, 972, 31, 371

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

Prime Factorization of 646 is 2 x 17 x 19

Prime Factorization of 972 is 2 x 2 x 3 x 3 x 3 x 3 x 3

Prime Factorization of 31 is 31

Prime Factorization of 371 is 7 x 53

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(646, 972) = 313956

GCD(646, 972) = ( 646 x 972 ) / 313956

GCD(646, 972) = 627912 / 313956

GCD(646, 972) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 31

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

LCM(2, 31) = 62

GCD(2, 31) = ( 2 x 31 ) / 62

GCD(2, 31) = 62 / 62

GCD(2, 31) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 371

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

LCM(1, 371) = 371

GCD(1, 371) = ( 1 x 371 ) / 371

GCD(1, 371) = 371 / 371

GCD(1, 371) = 1

GCD of 646, 972, 31, 371 is 1

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1. What is the GCD of 646, 972, 31, 371?

GCD of 646, 972, 31, 371 is 1

2. Where do I get the detailed procedure to find GCD of 646, 972, 31, 371?

You can find a detailed procedure to find GCD of 646, 972, 31, 371 on our page.

3. How to find GCD of 646, 972, 31, 371 on a calculator?

You can find the GCD of 646, 972, 31, 371 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.