GCD of 891, 504, 121, 903 Calculator

Given Input numbers are 891, 504, 121, 903

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

Divisors of 891

List of positive integer divisors of 891 that divides 891 without a remainder.

1, 3, 9, 11, 27, 33, 81, 99, 297, 891

Divisors of 504

List of positive integer divisors of 504 that divides 504 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

Divisors of 121

List of positive integer divisors of 121 that divides 121 without a remainder.

1, 11, 121

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 891, 504, 121, 903 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 891, 504, 121, 903 is 1.

Therefore, GCD of numbers 891, 504, 121, 903 is 1

Given Input Data is 891, 504, 121, 903

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

Prime Factorization of 891 is 3 x 3 x 3 x 3 x 11

Prime Factorization of 504 is 2 x 2 x 2 x 3 x 3 x 7

Prime Factorization of 121 is 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(891, 504) = 49896

GCD(891, 504) = ( 891 x 504 ) / 49896

GCD(891, 504) = 449064 / 49896

GCD(891, 504) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 121

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

LCM(9, 121) = 1089

GCD(9, 121) = ( 9 x 121 ) / 1089

GCD(9, 121) = 1089 / 1089

GCD(9, 121) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 903

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

LCM(1, 903) = 903

GCD(1, 903) = ( 1 x 903 ) / 903

GCD(1, 903) = 903 / 903

GCD(1, 903) = 1

GCD of 891, 504, 121, 903 is 1

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1. What is the GCD of 891, 504, 121, 903?

GCD of 891, 504, 121, 903 is 1

2. Where do I get the detailed procedure to find GCD of 891, 504, 121, 903?

You can find a detailed procedure to find GCD of 891, 504, 121, 903 on our page.

3. How to find GCD of 891, 504, 121, 903 on a calculator?

You can find the GCD of 891, 504, 121, 903 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.