GCD of 774, 891, 876, 369 Calculator

Given Input numbers are 774, 891, 876, 369

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

Divisors of 774

List of positive integer divisors of 774 that divides 774 without a remainder.

1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

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 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 369

List of positive integer divisors of 369 that divides 369 without a remainder.

1, 3, 9, 41, 123, 369

Greatest Common Divisior

We found the divisors of 774, 891, 876, 369 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 774, 891, 876, 369 is 3.

Therefore, GCD of numbers 774, 891, 876, 369 is 3

Given Input Data is 774, 891, 876, 369

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

Prime Factorization of 774 is 2 x 3 x 3 x 43

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

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

Prime Factorization of 369 is 3 x 3 x 41

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(774, 891) = 76626

GCD(774, 891) = ( 774 x 891 ) / 76626

GCD(774, 891) = 689634 / 76626

GCD(774, 891) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 876

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

LCM(9, 876) = 2628

GCD(9, 876) = ( 9 x 876 ) / 2628

GCD(9, 876) = 7884 / 2628

GCD(9, 876) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 369

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

LCM(3, 369) = 369

GCD(3, 369) = ( 3 x 369 ) / 369

GCD(3, 369) = 1107 / 369

GCD(3, 369) = 3

GCD of 774, 891, 876, 369 is 3

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1. What is the GCD of 774, 891, 876, 369?

GCD of 774, 891, 876, 369 is 3

2. Where do I get the detailed procedure to find GCD of 774, 891, 876, 369?

You can find a detailed procedure to find GCD of 774, 891, 876, 369 on our page.

3. How to find GCD of 774, 891, 876, 369 on a calculator?

You can find the GCD of 774, 891, 876, 369 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.