GCD of 572, 311, 55, 760 Calculator

Given Input numbers are 572, 311, 55, 760

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

Divisors of 572

List of positive integer divisors of 572 that divides 572 without a remainder.

1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572

Divisors of 311

List of positive integer divisors of 311 that divides 311 without a remainder.

1, 311

Divisors of 55

List of positive integer divisors of 55 that divides 55 without a remainder.

1, 5, 11, 55

Divisors of 760

List of positive integer divisors of 760 that divides 760 without a remainder.

1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

Greatest Common Divisior

We found the divisors of 572, 311, 55, 760 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 572, 311, 55, 760 is 1.

Therefore, GCD of numbers 572, 311, 55, 760 is 1

Given Input Data is 572, 311, 55, 760

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

Prime Factorization of 572 is 2 x 2 x 11 x 13

Prime Factorization of 311 is 311

Prime Factorization of 55 is 5 x 11

Prime Factorization of 760 is 2 x 2 x 2 x 5 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(572, 311) = 177892

GCD(572, 311) = ( 572 x 311 ) / 177892

GCD(572, 311) = 177892 / 177892

GCD(572, 311) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 55

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

LCM(1, 55) = 55

GCD(1, 55) = ( 1 x 55 ) / 55

GCD(1, 55) = 55 / 55

GCD(1, 55) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 760

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

LCM(1, 760) = 760

GCD(1, 760) = ( 1 x 760 ) / 760

GCD(1, 760) = 760 / 760

GCD(1, 760) = 1

GCD of 572, 311, 55, 760 is 1

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1. What is the GCD of 572, 311, 55, 760?

GCD of 572, 311, 55, 760 is 1

2. Where do I get the detailed procedure to find GCD of 572, 311, 55, 760?

You can find a detailed procedure to find GCD of 572, 311, 55, 760 on our page.

3. How to find GCD of 572, 311, 55, 760 on a calculator?

You can find the GCD of 572, 311, 55, 760 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.