GCD of 371, 756, 190, 255 Calculator

Given Input numbers are 371, 756, 190, 255

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

Divisors of 371

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

1, 7, 53, 371

Divisors of 756

List of positive integer divisors of 756 that divides 756 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

Divisors of 190

List of positive integer divisors of 190 that divides 190 without a remainder.

1, 2, 5, 10, 19, 38, 95, 190

Divisors of 255

List of positive integer divisors of 255 that divides 255 without a remainder.

1, 3, 5, 15, 17, 51, 85, 255

Greatest Common Divisior

We found the divisors of 371, 756, 190, 255 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 371, 756, 190, 255 is 1.

Therefore, GCD of numbers 371, 756, 190, 255 is 1

Given Input Data is 371, 756, 190, 255

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

Prime Factorization of 371 is 7 x 53

Prime Factorization of 756 is 2 x 2 x 3 x 3 x 3 x 7

Prime Factorization of 190 is 2 x 5 x 19

Prime Factorization of 255 is 3 x 5 x 17

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(371, 756) = 40068

GCD(371, 756) = ( 371 x 756 ) / 40068

GCD(371, 756) = 280476 / 40068

GCD(371, 756) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 190

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

LCM(7, 190) = 1330

GCD(7, 190) = ( 7 x 190 ) / 1330

GCD(7, 190) = 1330 / 1330

GCD(7, 190) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 255

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

LCM(1, 255) = 255

GCD(1, 255) = ( 1 x 255 ) / 255

GCD(1, 255) = 255 / 255

GCD(1, 255) = 1

GCD of 371, 756, 190, 255 is 1

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1. What is the GCD of 371, 756, 190, 255?

GCD of 371, 756, 190, 255 is 1

2. Where do I get the detailed procedure to find GCD of 371, 756, 190, 255?

You can find a detailed procedure to find GCD of 371, 756, 190, 255 on our page.

3. How to find GCD of 371, 756, 190, 255 on a calculator?

You can find the GCD of 371, 756, 190, 255 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.