GCD of 628, 475, 97, 180 Calculator

Given Input numbers are 628, 475, 97, 180

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

Divisors of 628

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

1, 2, 4, 157, 314, 628

Divisors of 475

List of positive integer divisors of 475 that divides 475 without a remainder.

1, 5, 19, 25, 95, 475

Divisors of 97

List of positive integer divisors of 97 that divides 97 without a remainder.

1, 97

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

Greatest Common Divisior

We found the divisors of 628, 475, 97, 180 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 628, 475, 97, 180 is 1.

Therefore, GCD of numbers 628, 475, 97, 180 is 1

Given Input Data is 628, 475, 97, 180

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

Prime Factorization of 628 is 2 x 2 x 157

Prime Factorization of 475 is 5 x 5 x 19

Prime Factorization of 97 is 97

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

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(628, 475) = 298300

GCD(628, 475) = ( 628 x 475 ) / 298300

GCD(628, 475) = 298300 / 298300

GCD(628, 475) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 97

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

LCM(1, 97) = 97

GCD(1, 97) = ( 1 x 97 ) / 97

GCD(1, 97) = 97 / 97

GCD(1, 97) = 1

Step3:

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

GCD of 628, 475, 97, 180 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 777, 691, 29, 877
• GCD of 840, 158, 38, 947
• GCD of 793, 178, 42, 827
• GCD of 793, 200, 64, 912
• GCD of 210, 893, 65, 605

1. What is the GCD of 628, 475, 97, 180?

GCD of 628, 475, 97, 180 is 1

2. Where do I get the detailed procedure to find GCD of 628, 475, 97, 180?

You can find a detailed procedure to find GCD of 628, 475, 97, 180 on our page.

3. How to find GCD of 628, 475, 97, 180 on a calculator?

You can find the GCD of 628, 475, 97, 180 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.