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GCD of 981, 342, 199, 812 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, 342, 199, 812 quickly. Get the easiest ways to solve the greatest common divisor of 981, 342, 199, 812 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 981, 342, 199, 812 with Factoring?

Given Input numbers are 981, 342, 199, 812

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 342 :

The positive integer divisors of 342 that completely divides 342 are.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Divisors of 199 :

The positive integer divisors of 199 that completely divides 199 are.

1, 199

Divisors of 812 :

The positive integer divisors of 812 that completely divides 812 are.

1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812


GCD of numbers is the greatest common divisor

So, the GCD (981, 342, 199, 812) = 1.

Find GCD of 981, 342, 199, 812 using Prime Factorization

Given numbers are 981, 342, 199, 812

The list of prime factors of all numbers are

Prime factors of 981 are 3 x 3 x 109

Prime factors of 342 are 2 x 3 x 3 x 19

Prime factors of 199 are 199

Prime factors of 812 are 2 x 2 x 7 x 29

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

Steps to Calculate GCD of 981, 342, 199, 812 using LCM Formula

Given numbers are 981, 342, 199, 812

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

Apply this formula for all numbers.

Step1:

LCM(981, 342) = 37278

GCD(981, 342) = ( 981 x 342 ) / 37278

= 981 / 342

= 981


Step2:

LCM(9, 199) = 1791

GCD(9, 199) = ( 9 x 199 ) / 1791

= 9 / 199

= 9


Step3:

LCM(1, 812) = 812

GCD(1, 812) = ( 1 x 812 ) / 812

= 1 / 812

= 1


So, Greatest Common Divisor of 981, 342, 199, 812 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 981, 342, 199, 812

Given numbers are 981, 342, 199, 812
The greatest common divisor of numbers 981, 342, 199, 812 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 981, 342, 199, 812 is 1.

FAQs on GCD of 981, 342, 199, 812 Calculator

1. What is the GCD of 981, 342, 199, 812?

GCD of given numbers 981, 342, 199, 812 is 1


2. How to calculate the greatest common divisor of 981, 342, 199, 812?

We can find the highest common divisor of 981, 342, 199, 812 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, 342, 199, 812 i.e 1.


3. How can I use the GCD of 981, 342, 199, 812Calculator?

Out the numbers 981, 342, 199, 812 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.