GCD of 592, 171, 58, 635 Calculator

Given Input numbers are 592, 171, 58, 635

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

Divisors of 592

List of positive integer divisors of 592 that divides 592 without a remainder.

1, 2, 4, 8, 16, 37, 74, 148, 296, 592

Divisors of 171

List of positive integer divisors of 171 that divides 171 without a remainder.

1, 3, 9, 19, 57, 171

Divisors of 58

List of positive integer divisors of 58 that divides 58 without a remainder.

1, 2, 29, 58

Divisors of 635

List of positive integer divisors of 635 that divides 635 without a remainder.

1, 5, 127, 635

Greatest Common Divisior

We found the divisors of 592, 171, 58, 635 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 592, 171, 58, 635 is 1.

Therefore, GCD of numbers 592, 171, 58, 635 is 1

Given Input Data is 592, 171, 58, 635

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

Prime Factorization of 592 is 2 x 2 x 2 x 2 x 37

Prime Factorization of 171 is 3 x 3 x 19

Prime Factorization of 58 is 2 x 29

Prime Factorization of 635 is 5 x 127

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(592, 171) = 101232

GCD(592, 171) = ( 592 x 171 ) / 101232

GCD(592, 171) = 101232 / 101232

GCD(592, 171) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 58

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

LCM(1, 58) = 58

GCD(1, 58) = ( 1 x 58 ) / 58

GCD(1, 58) = 58 / 58

GCD(1, 58) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 635

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

LCM(1, 635) = 635

GCD(1, 635) = ( 1 x 635 ) / 635

GCD(1, 635) = 635 / 635

GCD(1, 635) = 1

GCD of 592, 171, 58, 635 is 1

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1. What is the GCD of 592, 171, 58, 635?

GCD of 592, 171, 58, 635 is 1

2. Where do I get the detailed procedure to find GCD of 592, 171, 58, 635?

You can find a detailed procedure to find GCD of 592, 171, 58, 635 on our page.

3. How to find GCD of 592, 171, 58, 635 on a calculator?

You can find the GCD of 592, 171, 58, 635 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.