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GCD of 198, 311, 651, 398 Calculator

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


Online GCD Calculator is useful to find the GCD of 198, 311, 651, 398 quickly. Get the easiest ways to solve the greatest common divisor of 198, 311, 651, 398 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 198, 311, 651, 398 with Factoring?

Given Input numbers are 198, 311, 651, 398

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

Divisors of 198 :

The positive integer divisors of 198 that completely divides 198 are.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

Divisors of 311 :

The positive integer divisors of 311 that completely divides 311 are.

1, 311

Divisors of 651 :

The positive integer divisors of 651 that completely divides 651 are.

1, 3, 7, 21, 31, 93, 217, 651

Divisors of 398 :

The positive integer divisors of 398 that completely divides 398 are.

1, 2, 199, 398


GCD of numbers is the greatest common divisor

So, the GCD (198, 311, 651, 398) = 1.

Find GCD of 198, 311, 651, 398 using Prime Factorization

Given numbers are 198, 311, 651, 398

The list of prime factors of all numbers are

Prime factors of 198 are 2 x 3 x 3 x 11

Prime factors of 311 are 311

Prime factors of 651 are 3 x 7 x 31

Prime factors of 398 are 2 x 199

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

Steps to Calculate GCD of 198, 311, 651, 398 using LCM Formula

Given numbers are 198, 311, 651, 398

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

Apply this formula for all numbers.

Step1:

LCM(198, 311) = 61578

GCD(198, 311) = ( 198 x 311 ) / 61578

= 198 / 311

= 198


Step2:

LCM(1, 651) = 651

GCD(1, 651) = ( 1 x 651 ) / 651

= 1 / 651

= 1


Step3:

LCM(1, 398) = 398

GCD(1, 398) = ( 1 x 398 ) / 398

= 1 / 398

= 1


So, Greatest Common Divisor of 198, 311, 651, 398 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 198, 311, 651, 398

Given numbers are 198, 311, 651, 398
The greatest common divisor of numbers 198, 311, 651, 398 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 198, 311, 651, 398 is 1.

FAQs on GCD of 198, 311, 651, 398 Calculator

1. What is the GCD of 198, 311, 651, 398?

GCD of given numbers 198, 311, 651, 398 is 1


2. How to calculate the greatest common divisor of 198, 311, 651, 398?

We can find the highest common divisor of 198, 311, 651, 398 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 198, 311, 651, 398 i.e 1.


3. How can I use the GCD of 198, 311, 651, 398Calculator?

Out the numbers 198, 311, 651, 398 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.