GCD of 255, 564, 349, 757 Calculator

Given Input numbers are 255, 564, 349, 757

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

Divisors of 255

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

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

Divisors of 564

List of positive integer divisors of 564 that divides 564 without a remainder.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

Divisors of 349

List of positive integer divisors of 349 that divides 349 without a remainder.

1, 349

Divisors of 757

List of positive integer divisors of 757 that divides 757 without a remainder.

1, 757

Greatest Common Divisior

We found the divisors of 255, 564, 349, 757 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 255, 564, 349, 757 is 1.

Therefore, GCD of numbers 255, 564, 349, 757 is 1

Given Input Data is 255, 564, 349, 757

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

Prime Factorization of 255 is 3 x 5 x 17

Prime Factorization of 564 is 2 x 2 x 3 x 47

Prime Factorization of 349 is 349

Prime Factorization of 757 is 757

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(255, 564) = 47940

GCD(255, 564) = ( 255 x 564 ) / 47940

GCD(255, 564) = 143820 / 47940

GCD(255, 564) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 349

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

LCM(3, 349) = 1047

GCD(3, 349) = ( 3 x 349 ) / 1047

GCD(3, 349) = 1047 / 1047

GCD(3, 349) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 757

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

LCM(1, 757) = 757

GCD(1, 757) = ( 1 x 757 ) / 757

GCD(1, 757) = 757 / 757

GCD(1, 757) = 1

GCD of 255, 564, 349, 757 is 1

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1. What is the GCD of 255, 564, 349, 757?

GCD of 255, 564, 349, 757 is 1

2. Where do I get the detailed procedure to find GCD of 255, 564, 349, 757?

You can find a detailed procedure to find GCD of 255, 564, 349, 757 on our page.

3. How to find GCD of 255, 564, 349, 757 on a calculator?

You can find the GCD of 255, 564, 349, 757 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.