GCD of 577, 108, 52, 642 Calculator

Given Input numbers are 577, 108, 52, 642

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

Divisors of 577

List of positive integer divisors of 577 that divides 577 without a remainder.

1, 577

Divisors of 108

List of positive integer divisors of 108 that divides 108 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Divisors of 52

List of positive integer divisors of 52 that divides 52 without a remainder.

1, 2, 4, 13, 26, 52

Divisors of 642

List of positive integer divisors of 642 that divides 642 without a remainder.

1, 2, 3, 6, 107, 214, 321, 642

Greatest Common Divisior

We found the divisors of 577, 108, 52, 642 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 577, 108, 52, 642 is 1.

Therefore, GCD of numbers 577, 108, 52, 642 is 1

Given Input Data is 577, 108, 52, 642

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

Prime Factorization of 577 is 577

Prime Factorization of 108 is 2 x 2 x 3 x 3 x 3

Prime Factorization of 52 is 2 x 2 x 13

Prime Factorization of 642 is 2 x 3 x 107

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(577, 108) = 62316

GCD(577, 108) = ( 577 x 108 ) / 62316

GCD(577, 108) = 62316 / 62316

GCD(577, 108) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 52

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

LCM(1, 52) = 52

GCD(1, 52) = ( 1 x 52 ) / 52

GCD(1, 52) = 52 / 52

GCD(1, 52) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 642

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

LCM(1, 642) = 642

GCD(1, 642) = ( 1 x 642 ) / 642

GCD(1, 642) = 642 / 642

GCD(1, 642) = 1

GCD of 577, 108, 52, 642 is 1

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• GCD of 974, 325, 28, 930
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1. What is the GCD of 577, 108, 52, 642?

GCD of 577, 108, 52, 642 is 1

2. Where do I get the detailed procedure to find GCD of 577, 108, 52, 642?

You can find a detailed procedure to find GCD of 577, 108, 52, 642 on our page.

3. How to find GCD of 577, 108, 52, 642 on a calculator?

You can find the GCD of 577, 108, 52, 642 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.