GCD of 126, 686, 22, 631 Calculator

Given Input numbers are 126, 686, 22, 631

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

Divisors of 126

List of positive integer divisors of 126 that divides 126 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

Divisors of 686

List of positive integer divisors of 686 that divides 686 without a remainder.

1, 2, 7, 14, 49, 98, 343, 686

Divisors of 22

List of positive integer divisors of 22 that divides 22 without a remainder.

1, 2, 11, 22

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 126, 686, 22, 631 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 126, 686, 22, 631 is 1.

Therefore, GCD of numbers 126, 686, 22, 631 is 1

Given Input Data is 126, 686, 22, 631

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

Prime Factorization of 126 is 2 x 3 x 3 x 7

Prime Factorization of 686 is 2 x 7 x 7 x 7

Prime Factorization of 22 is 2 x 11

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(126, 686) = 6174

GCD(126, 686) = ( 126 x 686 ) / 6174

GCD(126, 686) = 86436 / 6174

GCD(126, 686) = 14

Step2:

Here we consider the GCD from the above i.e. 14 as first number and the next as 22

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

LCM(14, 22) = 154

GCD(14, 22) = ( 14 x 22 ) / 154

GCD(14, 22) = 308 / 154

GCD(14, 22) = 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 126, 686, 22, 631 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 323, 363, 35, 918
• GCD of 891, 199, 28, 929
• GCD of 760, 127, 58, 422
• GCD of 250, 350, 43, 641
• GCD of 887, 900, 78, 919

1. What is the GCD of 126, 686, 22, 631?

GCD of 126, 686, 22, 631 is 1

2. Where do I get the detailed procedure to find GCD of 126, 686, 22, 631?

You can find a detailed procedure to find GCD of 126, 686, 22, 631 on our page.

3. How to find GCD of 126, 686, 22, 631 on a calculator?

You can find the GCD of 126, 686, 22, 631 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.