GCD of 588, 782, 57, 537 Calculator

Given Input numbers are 588, 782, 57, 537

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

Divisors of 588

List of positive integer divisors of 588 that divides 588 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

Divisors of 782

List of positive integer divisors of 782 that divides 782 without a remainder.

1, 2, 17, 23, 34, 46, 391, 782

Divisors of 57

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

1, 3, 19, 57

Divisors of 537

List of positive integer divisors of 537 that divides 537 without a remainder.

1, 3, 179, 537

Greatest Common Divisior

We found the divisors of 588, 782, 57, 537 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 588, 782, 57, 537 is 1.

Therefore, GCD of numbers 588, 782, 57, 537 is 1

Given Input Data is 588, 782, 57, 537

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

Prime Factorization of 588 is 2 x 2 x 3 x 7 x 7

Prime Factorization of 782 is 2 x 17 x 23

Prime Factorization of 57 is 3 x 19

Prime Factorization of 537 is 3 x 179

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(588, 782) = 229908

GCD(588, 782) = ( 588 x 782 ) / 229908

GCD(588, 782) = 459816 / 229908

GCD(588, 782) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 57

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

LCM(2, 57) = 114

GCD(2, 57) = ( 2 x 57 ) / 114

GCD(2, 57) = 114 / 114

GCD(2, 57) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 537

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

LCM(1, 537) = 537

GCD(1, 537) = ( 1 x 537 ) / 537

GCD(1, 537) = 537 / 537

GCD(1, 537) = 1

GCD of 588, 782, 57, 537 is 1

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1. What is the GCD of 588, 782, 57, 537?

GCD of 588, 782, 57, 537 is 1

2. Where do I get the detailed procedure to find GCD of 588, 782, 57, 537?

You can find a detailed procedure to find GCD of 588, 782, 57, 537 on our page.

3. How to find GCD of 588, 782, 57, 537 on a calculator?

You can find the GCD of 588, 782, 57, 537 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.