GCD of 591, 986, 975, 252 Calculator

Given Input numbers are 591, 986, 975, 252

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

Divisors of 591

List of positive integer divisors of 591 that divides 591 without a remainder.

1, 3, 197, 591

Divisors of 986

List of positive integer divisors of 986 that divides 986 without a remainder.

1, 2, 17, 29, 34, 58, 493, 986

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 252

List of positive integer divisors of 252 that divides 252 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

Greatest Common Divisior

We found the divisors of 591, 986, 975, 252 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 591, 986, 975, 252 is 1.

Therefore, GCD of numbers 591, 986, 975, 252 is 1

Given Input Data is 591, 986, 975, 252

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

Prime Factorization of 591 is 3 x 197

Prime Factorization of 986 is 2 x 17 x 29

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

Prime Factorization of 252 is 2 x 2 x 3 x 3 x 7

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(591, 986) = 582726

GCD(591, 986) = ( 591 x 986 ) / 582726

GCD(591, 986) = 582726 / 582726

GCD(591, 986) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 975

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

LCM(1, 975) = 975

GCD(1, 975) = ( 1 x 975 ) / 975

GCD(1, 975) = 975 / 975

GCD(1, 975) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 252

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

LCM(1, 252) = 252

GCD(1, 252) = ( 1 x 252 ) / 252

GCD(1, 252) = 252 / 252

GCD(1, 252) = 1

GCD of 591, 986, 975, 252 is 1

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1. What is the GCD of 591, 986, 975, 252?

GCD of 591, 986, 975, 252 is 1

2. Where do I get the detailed procedure to find GCD of 591, 986, 975, 252?

You can find a detailed procedure to find GCD of 591, 986, 975, 252 on our page.

3. How to find GCD of 591, 986, 975, 252 on a calculator?

You can find the GCD of 591, 986, 975, 252 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.