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GCD of 198, 591, 395, 364 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, 591, 395, 364 quickly. Get the easiest ways to solve the greatest common divisor of 198, 591, 395, 364 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 198, 591, 395, 364 with Factoring?

Given Input numbers are 198, 591, 395, 364

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 591 :

The positive integer divisors of 591 that completely divides 591 are.

1, 3, 197, 591

Divisors of 395 :

The positive integer divisors of 395 that completely divides 395 are.

1, 5, 79, 395

Divisors of 364 :

The positive integer divisors of 364 that completely divides 364 are.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364


GCD of numbers is the greatest common divisor

So, the GCD (198, 591, 395, 364) = 1.

Find GCD of 198, 591, 395, 364 using Prime Factorization

Given numbers are 198, 591, 395, 364

The list of prime factors of all numbers are

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

Prime factors of 591 are 3 x 197

Prime factors of 395 are 5 x 79

Prime factors of 364 are 2 x 2 x 7 x 13

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

Steps to Calculate GCD of 198, 591, 395, 364 using LCM Formula

Given numbers are 198, 591, 395, 364

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

Apply this formula for all numbers.

Step1:

LCM(198, 591) = 39006

GCD(198, 591) = ( 198 x 591 ) / 39006

= 198 / 591

= 198


Step2:

LCM(3, 395) = 1185

GCD(3, 395) = ( 3 x 395 ) / 1185

= 3 / 395

= 3


Step3:

LCM(1, 364) = 364

GCD(1, 364) = ( 1 x 364 ) / 364

= 1 / 364

= 1


So, Greatest Common Divisor of 198, 591, 395, 364 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 198, 591, 395, 364

Given numbers are 198, 591, 395, 364
The greatest common divisor of numbers 198, 591, 395, 364 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 198, 591, 395, 364 is 1.

FAQs on GCD of 198, 591, 395, 364 Calculator

1. What is the GCD of 198, 591, 395, 364?

GCD of given numbers 198, 591, 395, 364 is 1


2. How to calculate the greatest common divisor of 198, 591, 395, 364?

We can find the highest common divisor of 198, 591, 395, 364 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, 591, 395, 364 i.e 1.


3. How can I use the GCD of 198, 591, 395, 364Calculator?

Out the numbers 198, 591, 395, 364 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.