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GCD of 624, 630, 489, 676 Calculator

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


Online GCD Calculator is useful to find the GCD of 624, 630, 489, 676 quickly. Get the easiest ways to solve the greatest common divisor of 624, 630, 489, 676 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 624, 630, 489, 676 with Factoring?

Given Input numbers are 624, 630, 489, 676

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

Divisors of 624 :

The positive integer divisors of 624 that completely divides 624 are.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

Divisors of 630 :

The positive integer divisors of 630 that completely divides 630 are.

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630

Divisors of 489 :

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

1, 3, 163, 489

Divisors of 676 :

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

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


GCD of numbers is the greatest common divisor

So, the GCD (624, 630, 489, 676) = 1.

Find GCD of 624, 630, 489, 676 using Prime Factorization

Given numbers are 624, 630, 489, 676

The list of prime factors of all numbers are

Prime factors of 624 are 2 x 2 x 2 x 2 x 3 x 13

Prime factors of 630 are 2 x 3 x 3 x 5 x 7

Prime factors of 489 are 3 x 163

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

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

Steps to Calculate GCD of 624, 630, 489, 676 using LCM Formula

Given numbers are 624, 630, 489, 676

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

Apply this formula for all numbers.

Step1:

LCM(624, 630) = 65520

GCD(624, 630) = ( 624 x 630 ) / 65520

= 624 / 630

= 624


Step2:

LCM(6, 489) = 978

GCD(6, 489) = ( 6 x 489 ) / 978

= 6 / 489

= 6


Step3:

LCM(3, 676) = 2028

GCD(3, 676) = ( 3 x 676 ) / 2028

= 3 / 676

= 3


So, Greatest Common Divisor of 624, 630, 489, 676 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 624, 630, 489, 676

Given numbers are 624, 630, 489, 676
The greatest common divisor of numbers 624, 630, 489, 676 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 624, 630, 489, 676 is 1.

FAQs on GCD of 624, 630, 489, 676 Calculator

1. What is the GCD of 624, 630, 489, 676?

GCD of given numbers 624, 630, 489, 676 is 1


2. How to calculate the greatest common divisor of 624, 630, 489, 676?

We can find the highest common divisor of 624, 630, 489, 676 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 624, 630, 489, 676 i.e 1.


3. How can I use the GCD of 624, 630, 489, 676Calculator?

Out the numbers 624, 630, 489, 676 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.