GCD of 975, 564, 307, 972 Calculator

Given Input numbers are 975, 564, 307, 972

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

Divisors of 975

List of positive integer divisors of 975 that divides 975 without a remainder.

1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

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 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 975, 564, 307, 972 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 975, 564, 307, 972 is 1.

Therefore, GCD of numbers 975, 564, 307, 972 is 1

Given Input Data is 975, 564, 307, 972

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

Prime Factorization of 975 is 3 x 5 x 5 x 13

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

Prime Factorization of 307 is 307

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(975, 564) = 183300

GCD(975, 564) = ( 975 x 564 ) / 183300

GCD(975, 564) = 549900 / 183300

GCD(975, 564) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 307

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

LCM(3, 307) = 921

GCD(3, 307) = ( 3 x 307 ) / 921

GCD(3, 307) = 921 / 921

GCD(3, 307) = 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 975, 564, 307, 972 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 598, 580, 116, 433
• GCD of 222, 855, 977, 315
• GCD of 783, 748, 916, 453
• GCD of 311, 575, 950, 106
• GCD of 174, 483, 137, 513

1. What is the GCD of 975, 564, 307, 972?

GCD of 975, 564, 307, 972 is 1

2. Where do I get the detailed procedure to find GCD of 975, 564, 307, 972?

You can find a detailed procedure to find GCD of 975, 564, 307, 972 on our page.

3. How to find GCD of 975, 564, 307, 972 on a calculator?

You can find the GCD of 975, 564, 307, 972 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.