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GCD of 489, 789, 703, 774 Calculator

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


Online GCD Calculator is useful to find the GCD of 489, 789, 703, 774 quickly. Get the easiest ways to solve the greatest common divisor of 489, 789, 703, 774 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 489, 789, 703, 774 with Factoring?

Given Input numbers are 489, 789, 703, 774

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

Divisors of 489 :

The positive integer divisors of 489 that completely divides 489 are.

1, 3, 163, 489

Divisors of 789 :

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

1, 3, 263, 789

Divisors of 703 :

The positive integer divisors of 703 that completely divides 703 are.

1, 19, 37, 703

Divisors of 774 :

The positive integer divisors of 774 that completely divides 774 are.

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


GCD of numbers is the greatest common divisor

So, the GCD (489, 789, 703, 774) = 1.

Find GCD of 489, 789, 703, 774 using Prime Factorization

Given numbers are 489, 789, 703, 774

The list of prime factors of all numbers are

Prime factors of 489 are 3 x 163

Prime factors of 789 are 3 x 263

Prime factors of 703 are 19 x 37

Prime factors of 774 are 2 x 3 x 3 x 43

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

Steps to Calculate GCD of 489, 789, 703, 774 using LCM Formula

Given numbers are 489, 789, 703, 774

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

Apply this formula for all numbers.

Step1:

LCM(489, 789) = 128607

GCD(489, 789) = ( 489 x 789 ) / 128607

= 489 / 789

= 489


Step2:

LCM(3, 703) = 2109

GCD(3, 703) = ( 3 x 703 ) / 2109

= 3 / 703

= 3


Step3:

LCM(1, 774) = 774

GCD(1, 774) = ( 1 x 774 ) / 774

= 1 / 774

= 1


So, Greatest Common Divisor of 489, 789, 703, 774 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 489, 789, 703, 774

Given numbers are 489, 789, 703, 774
The greatest common divisor of numbers 489, 789, 703, 774 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 489, 789, 703, 774 is 1.

FAQs on GCD of 489, 789, 703, 774 Calculator

1. What is the GCD of 489, 789, 703, 774?

GCD of given numbers 489, 789, 703, 774 is 1


2. How to calculate the greatest common divisor of 489, 789, 703, 774?

We can find the highest common divisor of 489, 789, 703, 774 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 489, 789, 703, 774 i.e 1.


3. How can I use the GCD of 489, 789, 703, 774Calculator?

Out the numbers 489, 789, 703, 774 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.