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GCD of 195, 711, 343, 309 Calculator

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


Online GCD Calculator is useful to find the GCD of 195, 711, 343, 309 quickly. Get the easiest ways to solve the greatest common divisor of 195, 711, 343, 309 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 195, 711, 343, 309 with Factoring?

Given Input numbers are 195, 711, 343, 309

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

Divisors of 195 :

The positive integer divisors of 195 that completely divides 195 are.

1, 3, 5, 13, 15, 39, 65, 195

Divisors of 711 :

The positive integer divisors of 711 that completely divides 711 are.

1, 3, 9, 79, 237, 711

Divisors of 343 :

The positive integer divisors of 343 that completely divides 343 are.

1, 7, 49, 343

Divisors of 309 :

The positive integer divisors of 309 that completely divides 309 are.

1, 3, 103, 309


GCD of numbers is the greatest common divisor

So, the GCD (195, 711, 343, 309) = 1.

Find GCD of 195, 711, 343, 309 using Prime Factorization

Given numbers are 195, 711, 343, 309

The list of prime factors of all numbers are

Prime factors of 195 are 3 x 5 x 13

Prime factors of 711 are 3 x 3 x 79

Prime factors of 343 are 7 x 7 x 7

Prime factors of 309 are 3 x 103

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

Steps to Calculate GCD of 195, 711, 343, 309 using LCM Formula

Given numbers are 195, 711, 343, 309

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

Apply this formula for all numbers.

Step1:

LCM(195, 711) = 46215

GCD(195, 711) = ( 195 x 711 ) / 46215

= 195 / 711

= 195


Step2:

LCM(3, 343) = 1029

GCD(3, 343) = ( 3 x 343 ) / 1029

= 3 / 343

= 3


Step3:

LCM(1, 309) = 309

GCD(1, 309) = ( 1 x 309 ) / 309

= 1 / 309

= 1


So, Greatest Common Divisor of 195, 711, 343, 309 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 195, 711, 343, 309

Given numbers are 195, 711, 343, 309
The greatest common divisor of numbers 195, 711, 343, 309 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 195, 711, 343, 309 is 1.

FAQs on GCD of 195, 711, 343, 309 Calculator

1. What is the GCD of 195, 711, 343, 309?

GCD of given numbers 195, 711, 343, 309 is 1


2. How to calculate the greatest common divisor of 195, 711, 343, 309?

We can find the highest common divisor of 195, 711, 343, 309 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 195, 711, 343, 309 i.e 1.


3. How can I use the GCD of 195, 711, 343, 309Calculator?

Out the numbers 195, 711, 343, 309 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.