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GCD of 203, 695, 198, 108 Calculator

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


Online GCD Calculator is useful to find the GCD of 203, 695, 198, 108 quickly. Get the easiest ways to solve the greatest common divisor of 203, 695, 198, 108 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 203, 695, 198, 108 with Factoring?

Given Input numbers are 203, 695, 198, 108

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

Divisors of 203 :

The positive integer divisors of 203 that completely divides 203 are.

1, 7, 29, 203

Divisors of 695 :

The positive integer divisors of 695 that completely divides 695 are.

1, 5, 139, 695

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 108 :

The positive integer divisors of 108 that completely divides 108 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108


GCD of numbers is the greatest common divisor

So, the GCD (203, 695, 198, 108) = 1.

Find GCD of 203, 695, 198, 108 using Prime Factorization

Given numbers are 203, 695, 198, 108

The list of prime factors of all numbers are

Prime factors of 203 are 7 x 29

Prime factors of 695 are 5 x 139

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

Prime factors of 108 are 2 x 2 x 3 x 3 x 3

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

Steps to Calculate GCD of 203, 695, 198, 108 using LCM Formula

Given numbers are 203, 695, 198, 108

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

Apply this formula for all numbers.

Step1:

LCM(203, 695) = 141085

GCD(203, 695) = ( 203 x 695 ) / 141085

= 203 / 695

= 203


Step2:

LCM(1, 198) = 198

GCD(1, 198) = ( 1 x 198 ) / 198

= 1 / 198

= 1


Step3:

LCM(1, 108) = 108

GCD(1, 108) = ( 1 x 108 ) / 108

= 1 / 108

= 1


So, Greatest Common Divisor of 203, 695, 198, 108 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 203, 695, 198, 108

Given numbers are 203, 695, 198, 108
The greatest common divisor of numbers 203, 695, 198, 108 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 203, 695, 198, 108 is 1.

FAQs on GCD of 203, 695, 198, 108 Calculator

1. What is the GCD of 203, 695, 198, 108?

GCD of given numbers 203, 695, 198, 108 is 1


2. How to calculate the greatest common divisor of 203, 695, 198, 108?

We can find the highest common divisor of 203, 695, 198, 108 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 203, 695, 198, 108 i.e 1.


3. How can I use the GCD of 203, 695, 198, 108Calculator?

Out the numbers 203, 695, 198, 108 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.