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GCD of 981, 318, 990 Calculator

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


Online GCD Calculator is useful to find the GCD of 981, 318, 990 quickly. Get the easiest ways to solve the greatest common divisor of 981, 318, 990 i.e 3 in different methods as follows.

GCD of

How to Find GCD of Numbers 981, 318, 990 with Factoring?

Given Input numbers are 981, 318, 990

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

Divisors of 981 :

The positive integer divisors of 981 that completely divides 981 are.

1, 3, 9, 109, 327, 981

Divisors of 318 :

The positive integer divisors of 318 that completely divides 318 are.

1, 2, 3, 6, 53, 106, 159, 318

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


GCD of numbers is the greatest common divisor

So, the GCD (981, 318, 990) = 3.

Find GCD of 981, 318, 990 using Prime Factorization

Given numbers are 981, 318, 990

The list of prime factors of all numbers are

Prime factors of 981 are 3 x 3 x 109

Prime factors of 318 are 2 x 3 x 53

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

The highest common occurrence is 31

Therefore, GCD of 981, 318, 990 is 3.

Steps to Calculate GCD of 981, 318, 990 using LCM Formula

Given numbers are 981, 318, 990

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

Apply this formula for all numbers.

Step1:

LCM(981, 318) = 103986

GCD(981, 318) = ( 981 x 318 ) / 103986

= 981 / 318

= 981


Step2:

LCM(3, 990) = 990

GCD(3, 990) = ( 3 x 990 ) / 990

= 3 / 990

= 3


So, Greatest Common Divisor of 981, 318, 990 is 3

GCD of Numbers Calculation Examples

Greatest Common Divisor of 981, 318, 990

Given numbers are 981, 318, 990
The greatest common divisor of numbers 981, 318, 990 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 981, 318, 990 is 3.

FAQs on GCD of 981, 318, 990 Calculator

1. What is the GCD of 981, 318, 990?

GCD of given numbers 981, 318, 990 is 3


2. How to calculate the greatest common divisor of 981, 318, 990?

We can find the highest common divisor of 981, 318, 990 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 981, 318, 990 i.e 3.


3. How can I use the GCD of 981, 318, 990Calculator?

Out the numbers 981, 318, 990 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.