GCD of 504, 307, 395, 972 Calculator

Given Input numbers are 504, 307, 395, 972

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

Divisors of 504

List of positive integer divisors of 504 that divides 504 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

Divisors of 307

List of positive integer divisors of 307 that divides 307 without a remainder.

1, 307

Divisors of 395

List of positive integer divisors of 395 that divides 395 without a remainder.

1, 5, 79, 395

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

Greatest Common Divisior

We found the divisors of 504, 307, 395, 972 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 504, 307, 395, 972 is 1.

Therefore, GCD of numbers 504, 307, 395, 972 is 1

Given Input Data is 504, 307, 395, 972

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

Prime Factorization of 504 is 2 x 2 x 2 x 3 x 3 x 7

Prime Factorization of 307 is 307

Prime Factorization of 395 is 5 x 79

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

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(504, 307) = 154728

GCD(504, 307) = ( 504 x 307 ) / 154728

GCD(504, 307) = 154728 / 154728

GCD(504, 307) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 395

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

LCM(1, 395) = 395

GCD(1, 395) = ( 1 x 395 ) / 395

GCD(1, 395) = 395 / 395

GCD(1, 395) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 972

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

LCM(1, 972) = 972

GCD(1, 972) = ( 1 x 972 ) / 972

GCD(1, 972) = 972 / 972

GCD(1, 972) = 1

GCD of 504, 307, 395, 972 is 1

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1. What is the GCD of 504, 307, 395, 972?

GCD of 504, 307, 395, 972 is 1

2. Where do I get the detailed procedure to find GCD of 504, 307, 395, 972?

You can find a detailed procedure to find GCD of 504, 307, 395, 972 on our page.

3. How to find GCD of 504, 307, 395, 972 on a calculator?

You can find the GCD of 504, 307, 395, 972 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.