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GCD of 489, 777, 380, 823 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, 777, 380, 823 quickly. Get the easiest ways to solve the greatest common divisor of 489, 777, 380, 823 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 489, 777, 380, 823 with Factoring?

Given Input numbers are 489, 777, 380, 823

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 777 :

The positive integer divisors of 777 that completely divides 777 are.

1, 3, 7, 21, 37, 111, 259, 777

Divisors of 380 :

The positive integer divisors of 380 that completely divides 380 are.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

Divisors of 823 :

The positive integer divisors of 823 that completely divides 823 are.

1, 823


GCD of numbers is the greatest common divisor

So, the GCD (489, 777, 380, 823) = 1.

Find GCD of 489, 777, 380, 823 using Prime Factorization

Given numbers are 489, 777, 380, 823

The list of prime factors of all numbers are

Prime factors of 489 are 3 x 163

Prime factors of 777 are 3 x 7 x 37

Prime factors of 380 are 2 x 2 x 5 x 19

Prime factors of 823 are 823

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

Steps to Calculate GCD of 489, 777, 380, 823 using LCM Formula

Given numbers are 489, 777, 380, 823

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

Apply this formula for all numbers.

Step1:

LCM(489, 777) = 126651

GCD(489, 777) = ( 489 x 777 ) / 126651

= 489 / 777

= 489


Step2:

LCM(3, 380) = 1140

GCD(3, 380) = ( 3 x 380 ) / 1140

= 3 / 380

= 3


Step3:

LCM(1, 823) = 823

GCD(1, 823) = ( 1 x 823 ) / 823

= 1 / 823

= 1


So, Greatest Common Divisor of 489, 777, 380, 823 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 489, 777, 380, 823

Given numbers are 489, 777, 380, 823
The greatest common divisor of numbers 489, 777, 380, 823 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 489, 777, 380, 823 is 1.

FAQs on GCD of 489, 777, 380, 823 Calculator

1. What is the GCD of 489, 777, 380, 823?

GCD of given numbers 489, 777, 380, 823 is 1


2. How to calculate the greatest common divisor of 489, 777, 380, 823?

We can find the highest common divisor of 489, 777, 380, 823 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, 777, 380, 823 i.e 1.


3. How can I use the GCD of 489, 777, 380, 823Calculator?

Out the numbers 489, 777, 380, 823 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.