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GCD of 994, 684, 313, 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 994, 684, 313, 789 quickly. Get the easiest ways to solve the greatest common divisor of 994, 684, 313, 789 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 994, 684, 313, 789 with Factoring?

Given Input numbers are 994, 684, 313, 789

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

Divisors of 994 :

The positive integer divisors of 994 that completely divides 994 are.

1, 2, 7, 14, 71, 142, 497, 994

Divisors of 684 :

The positive integer divisors of 684 that completely divides 684 are.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

Divisors of 313 :

The positive integer divisors of 313 that completely divides 313 are.

1, 313

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 (994, 684, 313, 789) = 1.

Find GCD of 994, 684, 313, 789 using Prime Factorization

Given numbers are 994, 684, 313, 789

The list of prime factors of all numbers are

Prime factors of 994 are 2 x 7 x 71

Prime factors of 684 are 2 x 2 x 3 x 3 x 19

Prime factors of 313 are 313

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 994, 684, 313, 789 using LCM Formula

Given numbers are 994, 684, 313, 789

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

Apply this formula for all numbers.

Step1:

LCM(994, 684) = 339948

GCD(994, 684) = ( 994 x 684 ) / 339948

= 994 / 684

= 994


Step2:

LCM(2, 313) = 626

GCD(2, 313) = ( 2 x 313 ) / 626

= 2 / 313

= 2


Step3:

LCM(1, 789) = 789

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

= 1 / 789

= 1


So, Greatest Common Divisor of 994, 684, 313, 789 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 994, 684, 313, 789

Given numbers are 994, 684, 313, 789
The greatest common divisor of numbers 994, 684, 313, 789 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 994, 684, 313, 789 is 1.

FAQs on GCD of 994, 684, 313, 789 Calculator

1. What is the GCD of 994, 684, 313, 789?

GCD of given numbers 994, 684, 313, 789 is 1


2. How to calculate the greatest common divisor of 994, 684, 313, 789?

We can find the highest common divisor of 994, 684, 313, 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 994, 684, 313, 789 i.e 1.


3. How can I use the GCD of 994, 684, 313, 789Calculator?

Out the numbers 994, 684, 313, 789 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.