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GCD of 344, 297, 198, 980 Calculator

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


Online GCD Calculator is useful to find the GCD of 344, 297, 198, 980 quickly. Get the easiest ways to solve the greatest common divisor of 344, 297, 198, 980 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 344, 297, 198, 980 with Factoring?

Given Input numbers are 344, 297, 198, 980

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

Divisors of 344 :

The positive integer divisors of 344 that completely divides 344 are.

1, 2, 4, 8, 43, 86, 172, 344

Divisors of 297 :

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

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

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 980 :

The positive integer divisors of 980 that completely divides 980 are.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980


GCD of numbers is the greatest common divisor

So, the GCD (344, 297, 198, 980) = 1.

Find GCD of 344, 297, 198, 980 using Prime Factorization

Given numbers are 344, 297, 198, 980

The list of prime factors of all numbers are

Prime factors of 344 are 2 x 2 x 2 x 43

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

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

Prime factors of 980 are 2 x 2 x 5 x 7 x 7

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

Steps to Calculate GCD of 344, 297, 198, 980 using LCM Formula

Given numbers are 344, 297, 198, 980

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

Apply this formula for all numbers.

Step1:

LCM(344, 297) = 102168

GCD(344, 297) = ( 344 x 297 ) / 102168

= 344 / 297

= 344


Step2:

LCM(1, 198) = 198

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

= 1 / 198

= 1


Step3:

LCM(1, 980) = 980

GCD(1, 980) = ( 1 x 980 ) / 980

= 1 / 980

= 1


So, Greatest Common Divisor of 344, 297, 198, 980 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 344, 297, 198, 980

Given numbers are 344, 297, 198, 980
The greatest common divisor of numbers 344, 297, 198, 980 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 344, 297, 198, 980 is 1.

FAQs on GCD of 344, 297, 198, 980 Calculator

1. What is the GCD of 344, 297, 198, 980?

GCD of given numbers 344, 297, 198, 980 is 1


2. How to calculate the greatest common divisor of 344, 297, 198, 980?

We can find the highest common divisor of 344, 297, 198, 980 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 344, 297, 198, 980 i.e 1.


3. How can I use the GCD of 344, 297, 198, 980Calculator?

Out the numbers 344, 297, 198, 980 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.