GCD of 57, 596, 491, 743 Calculator

Given Input numbers are 57, 596, 491, 743

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

Divisors of 57

List of positive integer divisors of 57 that divides 57 without a remainder.

1, 3, 19, 57

Divisors of 596

List of positive integer divisors of 596 that divides 596 without a remainder.

1, 2, 4, 149, 298, 596

Divisors of 491

List of positive integer divisors of 491 that divides 491 without a remainder.

1, 491

Divisors of 743

List of positive integer divisors of 743 that divides 743 without a remainder.

1, 743

Greatest Common Divisior

We found the divisors of 57, 596, 491, 743 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 57, 596, 491, 743 is 1.

Therefore, GCD of numbers 57, 596, 491, 743 is 1

Given Input Data is 57, 596, 491, 743

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

Prime Factorization of 57 is 3 x 19

Prime Factorization of 596 is 2 x 2 x 149

Prime Factorization of 491 is 491

Prime Factorization of 743 is 743

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(57, 596) = 33972

GCD(57, 596) = ( 57 x 596 ) / 33972

GCD(57, 596) = 33972 / 33972

GCD(57, 596) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 491

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

LCM(1, 491) = 491

GCD(1, 491) = ( 1 x 491 ) / 491

GCD(1, 491) = 491 / 491

GCD(1, 491) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 743

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

LCM(1, 743) = 743

GCD(1, 743) = ( 1 x 743 ) / 743

GCD(1, 743) = 743 / 743

GCD(1, 743) = 1

GCD of 57, 596, 491, 743 is 1

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1. What is the GCD of 57, 596, 491, 743?

GCD of 57, 596, 491, 743 is 1

2. Where do I get the detailed procedure to find GCD of 57, 596, 491, 743?

You can find a detailed procedure to find GCD of 57, 596, 491, 743 on our page.

3. How to find GCD of 57, 596, 491, 743 on a calculator?

You can find the GCD of 57, 596, 491, 743 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.