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GCD of 676, 332, 199, 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 676, 332, 199, 789 quickly. Get the easiest ways to solve the greatest common divisor of 676, 332, 199, 789 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 676, 332, 199, 789 with Factoring?

Given Input numbers are 676, 332, 199, 789

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

Divisors of 676 :

The positive integer divisors of 676 that completely divides 676 are.

1, 2, 4, 13, 26, 52, 169, 338, 676

Divisors of 332 :

The positive integer divisors of 332 that completely divides 332 are.

1, 2, 4, 83, 166, 332

Divisors of 199 :

The positive integer divisors of 199 that completely divides 199 are.

1, 199

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 (676, 332, 199, 789) = 1.

Find GCD of 676, 332, 199, 789 using Prime Factorization

Given numbers are 676, 332, 199, 789

The list of prime factors of all numbers are

Prime factors of 676 are 2 x 2 x 13 x 13

Prime factors of 332 are 2 x 2 x 83

Prime factors of 199 are 199

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 676, 332, 199, 789 using LCM Formula

Given numbers are 676, 332, 199, 789

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

Apply this formula for all numbers.

Step1:

LCM(676, 332) = 56108

GCD(676, 332) = ( 676 x 332 ) / 56108

= 676 / 332

= 676


Step2:

LCM(4, 199) = 796

GCD(4, 199) = ( 4 x 199 ) / 796

= 4 / 199

= 4


Step3:

LCM(1, 789) = 789

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

= 1 / 789

= 1


So, Greatest Common Divisor of 676, 332, 199, 789 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 676, 332, 199, 789

Given numbers are 676, 332, 199, 789
The greatest common divisor of numbers 676, 332, 199, 789 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 676, 332, 199, 789 is 1.

FAQs on GCD of 676, 332, 199, 789 Calculator

1. What is the GCD of 676, 332, 199, 789?

GCD of given numbers 676, 332, 199, 789 is 1


2. How to calculate the greatest common divisor of 676, 332, 199, 789?

We can find the highest common divisor of 676, 332, 199, 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 676, 332, 199, 789 i.e 1.


3. How can I use the GCD of 676, 332, 199, 789Calculator?

Out the numbers 676, 332, 199, 789 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.