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GCD of 789, 209, 691, 989 Calculator

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


Online GCD Calculator is useful to find the GCD of 789, 209, 691, 989 quickly. Get the easiest ways to solve the greatest common divisor of 789, 209, 691, 989 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 789, 209, 691, 989 with Factoring?

Given Input numbers are 789, 209, 691, 989

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

Divisors of 789 :

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

1, 3, 263, 789

Divisors of 209 :

The positive integer divisors of 209 that completely divides 209 are.

1, 11, 19, 209

Divisors of 691 :

The positive integer divisors of 691 that completely divides 691 are.

1, 691

Divisors of 989 :

The positive integer divisors of 989 that completely divides 989 are.

1, 23, 43, 989


GCD of numbers is the greatest common divisor

So, the GCD (789, 209, 691, 989) = 1.

Find GCD of 789, 209, 691, 989 using Prime Factorization

Given numbers are 789, 209, 691, 989

The list of prime factors of all numbers are

Prime factors of 789 are 3 x 263

Prime factors of 209 are 11 x 19

Prime factors of 691 are 691

Prime factors of 989 are 23 x 43

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

Steps to Calculate GCD of 789, 209, 691, 989 using LCM Formula

Given numbers are 789, 209, 691, 989

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

Apply this formula for all numbers.

Step1:

LCM(789, 209) = 164901

GCD(789, 209) = ( 789 x 209 ) / 164901

= 789 / 209

= 789


Step2:

LCM(1, 691) = 691

GCD(1, 691) = ( 1 x 691 ) / 691

= 1 / 691

= 1


Step3:

LCM(1, 989) = 989

GCD(1, 989) = ( 1 x 989 ) / 989

= 1 / 989

= 1


So, Greatest Common Divisor of 789, 209, 691, 989 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 789, 209, 691, 989

Given numbers are 789, 209, 691, 989
The greatest common divisor of numbers 789, 209, 691, 989 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 789, 209, 691, 989 is 1.

FAQs on GCD of 789, 209, 691, 989 Calculator

1. What is the GCD of 789, 209, 691, 989?

GCD of given numbers 789, 209, 691, 989 is 1


2. How to calculate the greatest common divisor of 789, 209, 691, 989?

We can find the highest common divisor of 789, 209, 691, 989 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 789, 209, 691, 989 i.e 1.


3. How can I use the GCD of 789, 209, 691, 989Calculator?

Out the numbers 789, 209, 691, 989 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.