GCD of 504, 389, 22, 959 Calculator

Given Input numbers are 504, 389, 22, 959

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 389

List of positive integer divisors of 389 that divides 389 without a remainder.

1, 389

Divisors of 22

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

1, 2, 11, 22

Divisors of 959

List of positive integer divisors of 959 that divides 959 without a remainder.

1, 7, 137, 959

Greatest Common Divisior

We found the divisors of 504, 389, 22, 959 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 504, 389, 22, 959 is 1.

Therefore, GCD of numbers 504, 389, 22, 959 is 1

Given Input Data is 504, 389, 22, 959

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 389 is 389

Prime Factorization of 22 is 2 x 11

Prime Factorization of 959 is 7 x 137

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, 389) = 196056

GCD(504, 389) = ( 504 x 389 ) / 196056

GCD(504, 389) = 196056 / 196056

GCD(504, 389) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 22

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

LCM(1, 22) = 22

GCD(1, 22) = ( 1 x 22 ) / 22

GCD(1, 22) = 22 / 22

GCD(1, 22) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 959

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

LCM(1, 959) = 959

GCD(1, 959) = ( 1 x 959 ) / 959

GCD(1, 959) = 959 / 959

GCD(1, 959) = 1

GCD of 504, 389, 22, 959 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 694, 501, 31, 582
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• GCD of 415, 627, 79, 941
• GCD of 534, 213, 23, 477
• GCD of 277, 230, 22, 500

1. What is the GCD of 504, 389, 22, 959?

GCD of 504, 389, 22, 959 is 1

2. Where do I get the detailed procedure to find GCD of 504, 389, 22, 959?

You can find a detailed procedure to find GCD of 504, 389, 22, 959 on our page.

3. How to find GCD of 504, 389, 22, 959 on a calculator?

You can find the GCD of 504, 389, 22, 959 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.