GCD of 974, 631, 78, 623 Calculator

Given Input numbers are 974, 631, 78, 623

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

Divisors of 974

List of positive integer divisors of 974 that divides 974 without a remainder.

1, 2, 487, 974

Divisors of 631

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

1, 631

Divisors of 78

List of positive integer divisors of 78 that divides 78 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78

Divisors of 623

List of positive integer divisors of 623 that divides 623 without a remainder.

1, 7, 89, 623

Greatest Common Divisior

We found the divisors of 974, 631, 78, 623 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 974, 631, 78, 623 is 1.

Therefore, GCD of numbers 974, 631, 78, 623 is 1

Given Input Data is 974, 631, 78, 623

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

Prime Factorization of 974 is 2 x 487

Prime Factorization of 631 is 631

Prime Factorization of 78 is 2 x 3 x 13

Prime Factorization of 623 is 7 x 89

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(974, 631) = 614594

GCD(974, 631) = ( 974 x 631 ) / 614594

GCD(974, 631) = 614594 / 614594

GCD(974, 631) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 78

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

LCM(1, 78) = 78

GCD(1, 78) = ( 1 x 78 ) / 78

GCD(1, 78) = 78 / 78

GCD(1, 78) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 623

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

LCM(1, 623) = 623

GCD(1, 623) = ( 1 x 623 ) / 623

GCD(1, 623) = 623 / 623

GCD(1, 623) = 1

GCD of 974, 631, 78, 623 is 1

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1. What is the GCD of 974, 631, 78, 623?

GCD of 974, 631, 78, 623 is 1

2. Where do I get the detailed procedure to find GCD of 974, 631, 78, 623?

You can find a detailed procedure to find GCD of 974, 631, 78, 623 on our page.

3. How to find GCD of 974, 631, 78, 623 on a calculator?

You can find the GCD of 974, 631, 78, 623 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.