GCD of 631, 735, 938, 506 Calculator

Given Input numbers are 631, 735, 938, 506

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

Divisors of 631

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

1, 631

Divisors of 735

List of positive integer divisors of 735 that divides 735 without a remainder.

1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

Divisors of 938

List of positive integer divisors of 938 that divides 938 without a remainder.

1, 2, 7, 14, 67, 134, 469, 938

Divisors of 506

List of positive integer divisors of 506 that divides 506 without a remainder.

1, 2, 11, 22, 23, 46, 253, 506

Greatest Common Divisior

We found the divisors of 631, 735, 938, 506 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 631, 735, 938, 506 is 1.

Therefore, GCD of numbers 631, 735, 938, 506 is 1

Given Input Data is 631, 735, 938, 506

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

Prime Factorization of 631 is 631

Prime Factorization of 735 is 3 x 5 x 7 x 7

Prime Factorization of 938 is 2 x 7 x 67

Prime Factorization of 506 is 2 x 11 x 23

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(631, 735) = 463785

GCD(631, 735) = ( 631 x 735 ) / 463785

GCD(631, 735) = 463785 / 463785

GCD(631, 735) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 938

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

LCM(1, 938) = 938

GCD(1, 938) = ( 1 x 938 ) / 938

GCD(1, 938) = 938 / 938

GCD(1, 938) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 506

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

LCM(1, 506) = 506

GCD(1, 506) = ( 1 x 506 ) / 506

GCD(1, 506) = 506 / 506

GCD(1, 506) = 1

GCD of 631, 735, 938, 506 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 350, 131, 231, 103
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• GCD of 380, 762, 539, 159

1. What is the GCD of 631, 735, 938, 506?

GCD of 631, 735, 938, 506 is 1

2. Where do I get the detailed procedure to find GCD of 631, 735, 938, 506?

You can find a detailed procedure to find GCD of 631, 735, 938, 506 on our page.

3. How to find GCD of 631, 735, 938, 506 on a calculator?

You can find the GCD of 631, 735, 938, 506 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.