GCD of 682, 820, 972, 631 Calculator

Given Input numbers are 682, 820, 972, 631

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

Divisors of 682

List of positive integer divisors of 682 that divides 682 without a remainder.

1, 2, 11, 22, 31, 62, 341, 682

Divisors of 820

List of positive integer divisors of 820 that divides 820 without a remainder.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

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 631

List of positive integer divisors of 631 that divides 631 without a remainder.

1, 631

Greatest Common Divisior

We found the divisors of 682, 820, 972, 631 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 682, 820, 972, 631 is 1.

Therefore, GCD of numbers 682, 820, 972, 631 is 1

Given Input Data is 682, 820, 972, 631

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

Prime Factorization of 682 is 2 x 11 x 31

Prime Factorization of 820 is 2 x 2 x 5 x 41

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

Prime Factorization of 631 is 631

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(682, 820) = 279620

GCD(682, 820) = ( 682 x 820 ) / 279620

GCD(682, 820) = 559240 / 279620

GCD(682, 820) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 972

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

LCM(2, 972) = 972

GCD(2, 972) = ( 2 x 972 ) / 972

GCD(2, 972) = 1944 / 972

GCD(2, 972) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 631

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

LCM(2, 631) = 1262

GCD(2, 631) = ( 2 x 631 ) / 1262

GCD(2, 631) = 1262 / 1262

GCD(2, 631) = 1

GCD of 682, 820, 972, 631 is 1

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1. What is the GCD of 682, 820, 972, 631?

GCD of 682, 820, 972, 631 is 1

2. Where do I get the detailed procedure to find GCD of 682, 820, 972, 631?

You can find a detailed procedure to find GCD of 682, 820, 972, 631 on our page.

3. How to find GCD of 682, 820, 972, 631 on a calculator?

You can find the GCD of 682, 820, 972, 631 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.