GCD of 625, 198, 39, 591 Calculator

Given Input numbers are 625, 198, 39, 591

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

Divisors of 625

List of positive integer divisors of 625 that divides 625 without a remainder.

1, 5, 25, 125, 625

Divisors of 198

List of positive integer divisors of 198 that divides 198 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

Divisors of 39

List of positive integer divisors of 39 that divides 39 without a remainder.

1, 3, 13, 39

Divisors of 591

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

1, 3, 197, 591

Greatest Common Divisior

We found the divisors of 625, 198, 39, 591 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 625, 198, 39, 591 is 1.

Therefore, GCD of numbers 625, 198, 39, 591 is 1

Given Input Data is 625, 198, 39, 591

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

Prime Factorization of 625 is 5 x 5 x 5 x 5

Prime Factorization of 198 is 2 x 3 x 3 x 11

Prime Factorization of 39 is 3 x 13

Prime Factorization of 591 is 3 x 197

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(625, 198) = 123750

GCD(625, 198) = ( 625 x 198 ) / 123750

GCD(625, 198) = 123750 / 123750

GCD(625, 198) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 39

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

LCM(1, 39) = 39

GCD(1, 39) = ( 1 x 39 ) / 39

GCD(1, 39) = 39 / 39

GCD(1, 39) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 591

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

LCM(1, 591) = 591

GCD(1, 591) = ( 1 x 591 ) / 591

GCD(1, 591) = 591 / 591

GCD(1, 591) = 1

GCD of 625, 198, 39, 591 is 1

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1. What is the GCD of 625, 198, 39, 591?

GCD of 625, 198, 39, 591 is 1

2. Where do I get the detailed procedure to find GCD of 625, 198, 39, 591?

You can find a detailed procedure to find GCD of 625, 198, 39, 591 on our page.

3. How to find GCD of 625, 198, 39, 591 on a calculator?

You can find the GCD of 625, 198, 39, 591 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.