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GCD of 908, 644, 747, 789 Calculator

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


Online GCD Calculator is useful to find the GCD of 908, 644, 747, 789 quickly. Get the easiest ways to solve the greatest common divisor of 908, 644, 747, 789 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 908, 644, 747, 789 with Factoring?

Given Input numbers are 908, 644, 747, 789

In the factoring method, we have to find the divisors of all numbers

Divisors of 908 :

The positive integer divisors of 908 that completely divides 908 are.

1, 2, 4, 227, 454, 908

Divisors of 644 :

The positive integer divisors of 644 that completely divides 644 are.

1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

Divisors of 747 :

The positive integer divisors of 747 that completely divides 747 are.

1, 3, 9, 83, 249, 747

Divisors of 789 :

The positive integer divisors of 789 that completely divides 789 are.

1, 3, 263, 789


GCD of numbers is the greatest common divisor

So, the GCD (908, 644, 747, 789) = 1.

Find GCD of 908, 644, 747, 789 using Prime Factorization

Given numbers are 908, 644, 747, 789

The list of prime factors of all numbers are

Prime factors of 908 are 2 x 2 x 227

Prime factors of 644 are 2 x 2 x 7 x 23

Prime factors of 747 are 3 x 3 x 83

Prime factors of 789 are 3 x 263

The above numbers do not have any common prime factor. So GCD is 1

Steps to Calculate GCD of 908, 644, 747, 789 using LCM Formula

Given numbers are 908, 644, 747, 789

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(908, 644) = 146188

GCD(908, 644) = ( 908 x 644 ) / 146188

= 908 / 644

= 908


Step2:

LCM(4, 747) = 2988

GCD(4, 747) = ( 4 x 747 ) / 2988

= 4 / 747

= 4


Step3:

LCM(1, 789) = 789

GCD(1, 789) = ( 1 x 789 ) / 789

= 1 / 789

= 1


So, Greatest Common Divisor of 908, 644, 747, 789 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 908, 644, 747, 789

Given numbers are 908, 644, 747, 789
The greatest common divisor of numbers 908, 644, 747, 789 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 908, 644, 747, 789 is 1.

FAQs on GCD of 908, 644, 747, 789 Calculator

1. What is the GCD of 908, 644, 747, 789?

GCD of given numbers 908, 644, 747, 789 is 1


2. How to calculate the greatest common divisor of 908, 644, 747, 789?

We can find the highest common divisor of 908, 644, 747, 789 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 908, 644, 747, 789 i.e 1.


3. How can I use the GCD of 908, 644, 747, 789Calculator?

Out the numbers 908, 644, 747, 789 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.