GCD of 876, 648, 242, 903 Calculator

Given Input numbers are 876, 648, 242, 903

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

Divisors of 876

List of positive integer divisors of 876 that divides 876 without a remainder.

1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876

Divisors of 648

List of positive integer divisors of 648 that divides 648 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

Divisors of 242

List of positive integer divisors of 242 that divides 242 without a remainder.

1, 2, 11, 22, 121, 242

Divisors of 903

List of positive integer divisors of 903 that divides 903 without a remainder.

1, 3, 7, 21, 43, 129, 301, 903

Greatest Common Divisior

We found the divisors of 876, 648, 242, 903 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 876, 648, 242, 903 is 1.

Therefore, GCD of numbers 876, 648, 242, 903 is 1

Given Input Data is 876, 648, 242, 903

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

Prime Factorization of 876 is 2 x 2 x 3 x 73

Prime Factorization of 648 is 2 x 2 x 2 x 3 x 3 x 3 x 3

Prime Factorization of 242 is 2 x 11 x 11

Prime Factorization of 903 is 3 x 7 x 43

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(876, 648) = 47304

GCD(876, 648) = ( 876 x 648 ) / 47304

GCD(876, 648) = 567648 / 47304

GCD(876, 648) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 242

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

LCM(12, 242) = 1452

GCD(12, 242) = ( 12 x 242 ) / 1452

GCD(12, 242) = 2904 / 1452

GCD(12, 242) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 903

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

LCM(2, 903) = 1806

GCD(2, 903) = ( 2 x 903 ) / 1806

GCD(2, 903) = 1806 / 1806

GCD(2, 903) = 1

GCD of 876, 648, 242, 903 is 1

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1. What is the GCD of 876, 648, 242, 903?

GCD of 876, 648, 242, 903 is 1

2. Where do I get the detailed procedure to find GCD of 876, 648, 242, 903?

You can find a detailed procedure to find GCD of 876, 648, 242, 903 on our page.

3. How to find GCD of 876, 648, 242, 903 on a calculator?

You can find the GCD of 876, 648, 242, 903 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.