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GCD of 198, 194, 713, 249 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, 194, 713, 249 quickly. Get the easiest ways to solve the greatest common divisor of 198, 194, 713, 249 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 198, 194, 713, 249 with Factoring?

Given Input numbers are 198, 194, 713, 249

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 194 :

The positive integer divisors of 194 that completely divides 194 are.

1, 2, 97, 194

Divisors of 713 :

The positive integer divisors of 713 that completely divides 713 are.

1, 23, 31, 713

Divisors of 249 :

The positive integer divisors of 249 that completely divides 249 are.

1, 3, 83, 249


GCD of numbers is the greatest common divisor

So, the GCD (198, 194, 713, 249) = 1.

Find GCD of 198, 194, 713, 249 using Prime Factorization

Given numbers are 198, 194, 713, 249

The list of prime factors of all numbers are

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

Prime factors of 194 are 2 x 97

Prime factors of 713 are 23 x 31

Prime factors of 249 are 3 x 83

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

Steps to Calculate GCD of 198, 194, 713, 249 using LCM Formula

Given numbers are 198, 194, 713, 249

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

Apply this formula for all numbers.

Step1:

LCM(198, 194) = 19206

GCD(198, 194) = ( 198 x 194 ) / 19206

= 198 / 194

= 198


Step2:

LCM(2, 713) = 1426

GCD(2, 713) = ( 2 x 713 ) / 1426

= 2 / 713

= 2


Step3:

LCM(1, 249) = 249

GCD(1, 249) = ( 1 x 249 ) / 249

= 1 / 249

= 1


So, Greatest Common Divisor of 198, 194, 713, 249 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 198, 194, 713, 249

Given numbers are 198, 194, 713, 249
The greatest common divisor of numbers 198, 194, 713, 249 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 198, 194, 713, 249 is 1.

FAQs on GCD of 198, 194, 713, 249 Calculator

1. What is the GCD of 198, 194, 713, 249?

GCD of given numbers 198, 194, 713, 249 is 1


2. How to calculate the greatest common divisor of 198, 194, 713, 249?

We can find the highest common divisor of 198, 194, 713, 249 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, 194, 713, 249 i.e 1.


3. How can I use the GCD of 198, 194, 713, 249Calculator?

Out the numbers 198, 194, 713, 249 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.