GCD of 180, 371, 118, 628 Calculator

Given Input numbers are 180, 371, 118, 628

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

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 371

List of positive integer divisors of 371 that divides 371 without a remainder.

1, 7, 53, 371

Divisors of 118

List of positive integer divisors of 118 that divides 118 without a remainder.

1, 2, 59, 118

Divisors of 628

List of positive integer divisors of 628 that divides 628 without a remainder.

1, 2, 4, 157, 314, 628

Greatest Common Divisior

We found the divisors of 180, 371, 118, 628 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 180, 371, 118, 628 is 1.

Therefore, GCD of numbers 180, 371, 118, 628 is 1

Given Input Data is 180, 371, 118, 628

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

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

Prime Factorization of 371 is 7 x 53

Prime Factorization of 118 is 2 x 59

Prime Factorization of 628 is 2 x 2 x 157

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(180, 371) = 66780

GCD(180, 371) = ( 180 x 371 ) / 66780

GCD(180, 371) = 66780 / 66780

GCD(180, 371) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 118

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

LCM(1, 118) = 118

GCD(1, 118) = ( 1 x 118 ) / 118

GCD(1, 118) = 118 / 118

GCD(1, 118) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 628

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

LCM(1, 628) = 628

GCD(1, 628) = ( 1 x 628 ) / 628

GCD(1, 628) = 628 / 628

GCD(1, 628) = 1

GCD of 180, 371, 118, 628 is 1

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1. What is the GCD of 180, 371, 118, 628?

GCD of 180, 371, 118, 628 is 1

2. Where do I get the detailed procedure to find GCD of 180, 371, 118, 628?

You can find a detailed procedure to find GCD of 180, 371, 118, 628 on our page.

3. How to find GCD of 180, 371, 118, 628 on a calculator?

You can find the GCD of 180, 371, 118, 628 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.