GCD of 944, 564, 307, 676 Calculator

Given Input numbers are 944, 564, 307, 676

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

Divisors of 944

List of positive integer divisors of 944 that divides 944 without a remainder.

1, 2, 4, 8, 16, 59, 118, 236, 472, 944

Divisors of 564

List of positive integer divisors of 564 that divides 564 without a remainder.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

Divisors of 307

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

1, 307

Divisors of 676

List of positive integer divisors of 676 that divides 676 without a remainder.

1, 2, 4, 13, 26, 52, 169, 338, 676

Greatest Common Divisior

We found the divisors of 944, 564, 307, 676 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 944, 564, 307, 676 is 1.

Therefore, GCD of numbers 944, 564, 307, 676 is 1

Given Input Data is 944, 564, 307, 676

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

Prime Factorization of 944 is 2 x 2 x 2 x 2 x 59

Prime Factorization of 564 is 2 x 2 x 3 x 47

Prime Factorization of 307 is 307

Prime Factorization of 676 is 2 x 2 x 13 x 13

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(944, 564) = 133104

GCD(944, 564) = ( 944 x 564 ) / 133104

GCD(944, 564) = 532416 / 133104

GCD(944, 564) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 307

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

LCM(4, 307) = 1228

GCD(4, 307) = ( 4 x 307 ) / 1228

GCD(4, 307) = 1228 / 1228

GCD(4, 307) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 676

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

LCM(1, 676) = 676

GCD(1, 676) = ( 1 x 676 ) / 676

GCD(1, 676) = 676 / 676

GCD(1, 676) = 1

GCD of 944, 564, 307, 676 is 1

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1. What is the GCD of 944, 564, 307, 676?

GCD of 944, 564, 307, 676 is 1

2. Where do I get the detailed procedure to find GCD of 944, 564, 307, 676?

You can find a detailed procedure to find GCD of 944, 564, 307, 676 on our page.

3. How to find GCD of 944, 564, 307, 676 on a calculator?

You can find the GCD of 944, 564, 307, 676 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.