GCD of 524, 638, 261, 635 Calculator

Given Input numbers are 524, 638, 261, 635

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

Divisors of 524

List of positive integer divisors of 524 that divides 524 without a remainder.

1, 2, 4, 131, 262, 524

Divisors of 638

List of positive integer divisors of 638 that divides 638 without a remainder.

1, 2, 11, 22, 29, 58, 319, 638

Divisors of 261

List of positive integer divisors of 261 that divides 261 without a remainder.

1, 3, 9, 29, 87, 261

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 524, 638, 261, 635 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 524, 638, 261, 635 is 1.

Therefore, GCD of numbers 524, 638, 261, 635 is 1

Given Input Data is 524, 638, 261, 635

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

Prime Factorization of 524 is 2 x 2 x 131

Prime Factorization of 638 is 2 x 11 x 29

Prime Factorization of 261 is 3 x 3 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(524, 638) = 167156

GCD(524, 638) = ( 524 x 638 ) / 167156

GCD(524, 638) = 334312 / 167156

GCD(524, 638) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 261

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

LCM(2, 261) = 522

GCD(2, 261) = ( 2 x 261 ) / 522

GCD(2, 261) = 522 / 522

GCD(2, 261) = 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 524, 638, 261, 635 is 1

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• GCD of 519, 710, 708, 351
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1. What is the GCD of 524, 638, 261, 635?

GCD of 524, 638, 261, 635 is 1

2. Where do I get the detailed procedure to find GCD of 524, 638, 261, 635?

You can find a detailed procedure to find GCD of 524, 638, 261, 635 on our page.

3. How to find GCD of 524, 638, 261, 635 on a calculator?

You can find the GCD of 524, 638, 261, 635 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.