GCD of 109, 920, 727, 591 Calculator

Given Input numbers are 109, 920, 727, 591

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

Divisors of 109

List of positive integer divisors of 109 that divides 109 without a remainder.

1, 109

Divisors of 920

List of positive integer divisors of 920 that divides 920 without a remainder.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

Divisors of 727

List of positive integer divisors of 727 that divides 727 without a remainder.

1, 727

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 109, 920, 727, 591 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 109, 920, 727, 591 is 1.

Therefore, GCD of numbers 109, 920, 727, 591 is 1

Given Input Data is 109, 920, 727, 591

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

Prime Factorization of 109 is 109

Prime Factorization of 920 is 2 x 2 x 2 x 5 x 23

Prime Factorization of 727 is 727

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(109, 920) = 100280

GCD(109, 920) = ( 109 x 920 ) / 100280

GCD(109, 920) = 100280 / 100280

GCD(109, 920) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 727

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

LCM(1, 727) = 727

GCD(1, 727) = ( 1 x 727 ) / 727

GCD(1, 727) = 727 / 727

GCD(1, 727) = 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 109, 920, 727, 591 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 465, 982, 832, 977
• GCD of 748, 783, 379, 764
• GCD of 518, 950, 645, 898
• GCD of 894, 964, 626, 523
• GCD of 680, 384, 557, 921

1. What is the GCD of 109, 920, 727, 591?

GCD of 109, 920, 727, 591 is 1

2. Where do I get the detailed procedure to find GCD of 109, 920, 727, 591?

You can find a detailed procedure to find GCD of 109, 920, 727, 591 on our page.

3. How to find GCD of 109, 920, 727, 591 on a calculator?

You can find the GCD of 109, 920, 727, 591 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.