GCD of 628, 475, 188, 361 Calculator

Given Input numbers are 628, 475, 188, 361

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 188

List of positive integer divisors of 188 that divides 188 without a remainder.

1, 2, 4, 47, 94, 188

Divisors of 361

List of positive integer divisors of 361 that divides 361 without a remainder.

1, 19, 361

Greatest Common Divisior

We found the divisors of 628, 475, 188, 361 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 628, 475, 188, 361 is 1.

Therefore, GCD of numbers 628, 475, 188, 361 is 1

Given Input Data is 628, 475, 188, 361

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 188 is 2 x 2 x 47

Prime Factorization of 361 is 19 x 19

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 188

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

LCM(1, 188) = 188

GCD(1, 188) = ( 1 x 188 ) / 188

GCD(1, 188) = 188 / 188

GCD(1, 188) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 361

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

LCM(1, 361) = 361

GCD(1, 361) = ( 1 x 361 ) / 361

GCD(1, 361) = 361 / 361

GCD(1, 361) = 1

GCD of 628, 475, 188, 361 is 1

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• GCD of 231, 482, 862, 566
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1. What is the GCD of 628, 475, 188, 361?

GCD of 628, 475, 188, 361 is 1

2. Where do I get the detailed procedure to find GCD of 628, 475, 188, 361?

You can find a detailed procedure to find GCD of 628, 475, 188, 361 on our page.

3. How to find GCD of 628, 475, 188, 361 on a calculator?

You can find the GCD of 628, 475, 188, 361 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.