GCD of 940, 508, 31, 629 Calculator

Given Input numbers are 940, 508, 31, 629

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

Divisors of 940

List of positive integer divisors of 940 that divides 940 without a remainder.

1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

Divisors of 508

List of positive integer divisors of 508 that divides 508 without a remainder.

1, 2, 4, 127, 254, 508

Divisors of 31

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

1, 31

Divisors of 629

List of positive integer divisors of 629 that divides 629 without a remainder.

1, 17, 37, 629

Greatest Common Divisior

We found the divisors of 940, 508, 31, 629 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 940, 508, 31, 629 is 1.

Therefore, GCD of numbers 940, 508, 31, 629 is 1

Given Input Data is 940, 508, 31, 629

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

Prime Factorization of 940 is 2 x 2 x 5 x 47

Prime Factorization of 508 is 2 x 2 x 127

Prime Factorization of 31 is 31

Prime Factorization of 629 is 17 x 37

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(940, 508) = 119380

GCD(940, 508) = ( 940 x 508 ) / 119380

GCD(940, 508) = 477520 / 119380

GCD(940, 508) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 31

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

LCM(4, 31) = 124

GCD(4, 31) = ( 4 x 31 ) / 124

GCD(4, 31) = 124 / 124

GCD(4, 31) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 629

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

LCM(1, 629) = 629

GCD(1, 629) = ( 1 x 629 ) / 629

GCD(1, 629) = 629 / 629

GCD(1, 629) = 1

GCD of 940, 508, 31, 629 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 464, 403, 21, 443
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• GCD of 831, 263, 73, 531
• GCD of 272, 675, 99, 280
• GCD of 464, 689, 25, 980

1. What is the GCD of 940, 508, 31, 629?

GCD of 940, 508, 31, 629 is 1

2. Where do I get the detailed procedure to find GCD of 940, 508, 31, 629?

You can find a detailed procedure to find GCD of 940, 508, 31, 629 on our page.

3. How to find GCD of 940, 508, 31, 629 on a calculator?

You can find the GCD of 940, 508, 31, 629 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.