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GCD of 196, 297, 574, 317 Calculator

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


Online GCD Calculator is useful to find the GCD of 196, 297, 574, 317 quickly. Get the easiest ways to solve the greatest common divisor of 196, 297, 574, 317 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 196, 297, 574, 317 with Factoring?

Given Input numbers are 196, 297, 574, 317

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

Divisors of 196 :

The positive integer divisors of 196 that completely divides 196 are.

1, 2, 4, 7, 14, 28, 49, 98, 196

Divisors of 297 :

The positive integer divisors of 297 that completely divides 297 are.

1, 3, 9, 11, 27, 33, 99, 297

Divisors of 574 :

The positive integer divisors of 574 that completely divides 574 are.

1, 2, 7, 14, 41, 82, 287, 574

Divisors of 317 :

The positive integer divisors of 317 that completely divides 317 are.

1, 317


GCD of numbers is the greatest common divisor

So, the GCD (196, 297, 574, 317) = 1.

Find GCD of 196, 297, 574, 317 using Prime Factorization

Given numbers are 196, 297, 574, 317

The list of prime factors of all numbers are

Prime factors of 196 are 2 x 2 x 7 x 7

Prime factors of 297 are 3 x 3 x 3 x 11

Prime factors of 574 are 2 x 7 x 41

Prime factors of 317 are 317

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

Steps to Calculate GCD of 196, 297, 574, 317 using LCM Formula

Given numbers are 196, 297, 574, 317

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

Apply this formula for all numbers.

Step1:

LCM(196, 297) = 58212

GCD(196, 297) = ( 196 x 297 ) / 58212

= 196 / 297

= 196


Step2:

LCM(1, 574) = 574

GCD(1, 574) = ( 1 x 574 ) / 574

= 1 / 574

= 1


Step3:

LCM(1, 317) = 317

GCD(1, 317) = ( 1 x 317 ) / 317

= 1 / 317

= 1


So, Greatest Common Divisor of 196, 297, 574, 317 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 196, 297, 574, 317

Given numbers are 196, 297, 574, 317
The greatest common divisor of numbers 196, 297, 574, 317 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 196, 297, 574, 317 is 1.

FAQs on GCD of 196, 297, 574, 317 Calculator

1. What is the GCD of 196, 297, 574, 317?

GCD of given numbers 196, 297, 574, 317 is 1


2. How to calculate the greatest common divisor of 196, 297, 574, 317?

We can find the highest common divisor of 196, 297, 574, 317 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 196, 297, 574, 317 i.e 1.


3. How can I use the GCD of 196, 297, 574, 317Calculator?

Out the numbers 196, 297, 574, 317 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.