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GCD of 990, 978, 331, 579 Calculator

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


Online GCD Calculator is useful to find the GCD of 990, 978, 331, 579 quickly. Get the easiest ways to solve the greatest common divisor of 990, 978, 331, 579 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 990, 978, 331, 579 with Factoring?

Given Input numbers are 990, 978, 331, 579

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

Divisors of 990 :

The positive integer divisors of 990 that completely divides 990 are.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

Divisors of 978 :

The positive integer divisors of 978 that completely divides 978 are.

1, 2, 3, 6, 163, 326, 489, 978

Divisors of 331 :

The positive integer divisors of 331 that completely divides 331 are.

1, 331

Divisors of 579 :

The positive integer divisors of 579 that completely divides 579 are.

1, 3, 193, 579


GCD of numbers is the greatest common divisor

So, the GCD (990, 978, 331, 579) = 1.

Find GCD of 990, 978, 331, 579 using Prime Factorization

Given numbers are 990, 978, 331, 579

The list of prime factors of all numbers are

Prime factors of 990 are 2 x 3 x 3 x 5 x 11

Prime factors of 978 are 2 x 3 x 163

Prime factors of 331 are 331

Prime factors of 579 are 3 x 193

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

Steps to Calculate GCD of 990, 978, 331, 579 using LCM Formula

Given numbers are 990, 978, 331, 579

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

Apply this formula for all numbers.

Step1:

LCM(990, 978) = 161370

GCD(990, 978) = ( 990 x 978 ) / 161370

= 990 / 978

= 990


Step2:

LCM(6, 331) = 1986

GCD(6, 331) = ( 6 x 331 ) / 1986

= 6 / 331

= 6


Step3:

LCM(1, 579) = 579

GCD(1, 579) = ( 1 x 579 ) / 579

= 1 / 579

= 1


So, Greatest Common Divisor of 990, 978, 331, 579 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 990, 978, 331, 579

Given numbers are 990, 978, 331, 579
The greatest common divisor of numbers 990, 978, 331, 579 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 990, 978, 331, 579 is 1.

FAQs on GCD of 990, 978, 331, 579 Calculator

1. What is the GCD of 990, 978, 331, 579?

GCD of given numbers 990, 978, 331, 579 is 1


2. How to calculate the greatest common divisor of 990, 978, 331, 579?

We can find the highest common divisor of 990, 978, 331, 579 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 990, 978, 331, 579 i.e 1.


3. How can I use the GCD of 990, 978, 331, 579Calculator?

Out the numbers 990, 978, 331, 579 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.