GCD of 822, 272, 913, 638 Calculator

Given Input numbers are 822, 272, 913, 638

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

Divisors of 822

List of positive integer divisors of 822 that divides 822 without a remainder.

1, 2, 3, 6, 137, 274, 411, 822

Divisors of 272

List of positive integer divisors of 272 that divides 272 without a remainder.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272

Divisors of 913

List of positive integer divisors of 913 that divides 913 without a remainder.

1, 11, 83, 913

Divisors of 638

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

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

Greatest Common Divisior

We found the divisors of 822, 272, 913, 638 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 822, 272, 913, 638 is 1.

Therefore, GCD of numbers 822, 272, 913, 638 is 1

Given Input Data is 822, 272, 913, 638

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

Prime Factorization of 822 is 2 x 3 x 137

Prime Factorization of 272 is 2 x 2 x 2 x 2 x 17

Prime Factorization of 913 is 11 x 83

Prime Factorization of 638 is 2 x 11 x 29

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(822, 272) = 111792

GCD(822, 272) = ( 822 x 272 ) / 111792

GCD(822, 272) = 223584 / 111792

GCD(822, 272) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 913

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

LCM(2, 913) = 1826

GCD(2, 913) = ( 2 x 913 ) / 1826

GCD(2, 913) = 1826 / 1826

GCD(2, 913) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 638

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

LCM(1, 638) = 638

GCD(1, 638) = ( 1 x 638 ) / 638

GCD(1, 638) = 638 / 638

GCD(1, 638) = 1

GCD of 822, 272, 913, 638 is 1

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• GCD of 280, 375, 828, 316
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1. What is the GCD of 822, 272, 913, 638?

GCD of 822, 272, 913, 638 is 1

2. Where do I get the detailed procedure to find GCD of 822, 272, 913, 638?

You can find a detailed procedure to find GCD of 822, 272, 913, 638 on our page.

3. How to find GCD of 822, 272, 913, 638 on a calculator?

You can find the GCD of 822, 272, 913, 638 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.