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GCD of 998, 612, 489, 372 Calculator

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


Online GCD Calculator is useful to find the GCD of 998, 612, 489, 372 quickly. Get the easiest ways to solve the greatest common divisor of 998, 612, 489, 372 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 998, 612, 489, 372 with Factoring?

Given Input numbers are 998, 612, 489, 372

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

Divisors of 998 :

The positive integer divisors of 998 that completely divides 998 are.

1, 2, 499, 998

Divisors of 612 :

The positive integer divisors of 612 that completely divides 612 are.

1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

Divisors of 489 :

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

1, 3, 163, 489

Divisors of 372 :

The positive integer divisors of 372 that completely divides 372 are.

1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372


GCD of numbers is the greatest common divisor

So, the GCD (998, 612, 489, 372) = 1.

Find GCD of 998, 612, 489, 372 using Prime Factorization

Given numbers are 998, 612, 489, 372

The list of prime factors of all numbers are

Prime factors of 998 are 2 x 499

Prime factors of 612 are 2 x 2 x 3 x 3 x 17

Prime factors of 489 are 3 x 163

Prime factors of 372 are 2 x 2 x 3 x 31

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

Steps to Calculate GCD of 998, 612, 489, 372 using LCM Formula

Given numbers are 998, 612, 489, 372

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

Apply this formula for all numbers.

Step1:

LCM(998, 612) = 305388

GCD(998, 612) = ( 998 x 612 ) / 305388

= 998 / 612

= 998


Step2:

LCM(2, 489) = 978

GCD(2, 489) = ( 2 x 489 ) / 978

= 2 / 489

= 2


Step3:

LCM(1, 372) = 372

GCD(1, 372) = ( 1 x 372 ) / 372

= 1 / 372

= 1


So, Greatest Common Divisor of 998, 612, 489, 372 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 998, 612, 489, 372

Given numbers are 998, 612, 489, 372
The greatest common divisor of numbers 998, 612, 489, 372 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 998, 612, 489, 372 is 1.

FAQs on GCD of 998, 612, 489, 372 Calculator

1. What is the GCD of 998, 612, 489, 372?

GCD of given numbers 998, 612, 489, 372 is 1


2. How to calculate the greatest common divisor of 998, 612, 489, 372?

We can find the highest common divisor of 998, 612, 489, 372 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 998, 612, 489, 372 i.e 1.


3. How can I use the GCD of 998, 612, 489, 372Calculator?

Out the numbers 998, 612, 489, 372 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.