GCD of 307, 621, 180, 121 Calculator

Given Input numbers are 307, 621, 180, 121

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

Divisors of 307

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

1, 307

Divisors of 621

List of positive integer divisors of 621 that divides 621 without a remainder.

1, 3, 9, 23, 27, 69, 207, 621

Divisors of 180

List of positive integer divisors of 180 that divides 180 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Divisors of 121

List of positive integer divisors of 121 that divides 121 without a remainder.

1, 11, 121

Greatest Common Divisior

We found the divisors of 307, 621, 180, 121 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 307, 621, 180, 121 is 1.

Therefore, GCD of numbers 307, 621, 180, 121 is 1

Given Input Data is 307, 621, 180, 121

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

Prime Factorization of 307 is 307

Prime Factorization of 621 is 3 x 3 x 3 x 23

Prime Factorization of 180 is 2 x 2 x 3 x 3 x 5

Prime Factorization of 121 is 11 x 11

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(307, 621) = 190647

GCD(307, 621) = ( 307 x 621 ) / 190647

GCD(307, 621) = 190647 / 190647

GCD(307, 621) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 180

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

LCM(1, 180) = 180

GCD(1, 180) = ( 1 x 180 ) / 180

GCD(1, 180) = 180 / 180

GCD(1, 180) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 121

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

LCM(1, 121) = 121

GCD(1, 121) = ( 1 x 121 ) / 121

GCD(1, 121) = 121 / 121

GCD(1, 121) = 1

GCD of 307, 621, 180, 121 is 1

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1. What is the GCD of 307, 621, 180, 121?

GCD of 307, 621, 180, 121 is 1

2. Where do I get the detailed procedure to find GCD of 307, 621, 180, 121?

You can find a detailed procedure to find GCD of 307, 621, 180, 121 on our page.

3. How to find GCD of 307, 621, 180, 121 on a calculator?

You can find the GCD of 307, 621, 180, 121 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.