GCD of 825, 638, 254, 613 Calculator

Given Input numbers are 825, 638, 254, 613

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

Divisors of 825

List of positive integer divisors of 825 that divides 825 without a remainder.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

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 254

List of positive integer divisors of 254 that divides 254 without a remainder.

1, 2, 127, 254

Divisors of 613

List of positive integer divisors of 613 that divides 613 without a remainder.

1, 613

Greatest Common Divisior

We found the divisors of 825, 638, 254, 613 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 825, 638, 254, 613 is 1.

Therefore, GCD of numbers 825, 638, 254, 613 is 1

Given Input Data is 825, 638, 254, 613

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

Prime Factorization of 825 is 3 x 5 x 5 x 11

Prime Factorization of 638 is 2 x 11 x 29

Prime Factorization of 254 is 2 x 127

Prime Factorization of 613 is 613

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(825, 638) = 47850

GCD(825, 638) = ( 825 x 638 ) / 47850

GCD(825, 638) = 526350 / 47850

GCD(825, 638) = 11

Step2:

Here we consider the GCD from the above i.e. 11 as first number and the next as 254

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

LCM(11, 254) = 2794

GCD(11, 254) = ( 11 x 254 ) / 2794

GCD(11, 254) = 2794 / 2794

GCD(11, 254) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 613

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

LCM(1, 613) = 613

GCD(1, 613) = ( 1 x 613 ) / 613

GCD(1, 613) = 613 / 613

GCD(1, 613) = 1

GCD of 825, 638, 254, 613 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 755, 271, 838, 101
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• GCD of 951, 413, 981, 403

1. What is the GCD of 825, 638, 254, 613?

GCD of 825, 638, 254, 613 is 1

2. Where do I get the detailed procedure to find GCD of 825, 638, 254, 613?

You can find a detailed procedure to find GCD of 825, 638, 254, 613 on our page.

3. How to find GCD of 825, 638, 254, 613 on a calculator?

You can find the GCD of 825, 638, 254, 613 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.