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GCD of 234, 313, 209, 320 Calculator

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


Online GCD Calculator is useful to find the GCD of 234, 313, 209, 320 quickly. Get the easiest ways to solve the greatest common divisor of 234, 313, 209, 320 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 234, 313, 209, 320 with Factoring?

Given Input numbers are 234, 313, 209, 320

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

Divisors of 234 :

The positive integer divisors of 234 that completely divides 234 are.

1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

Divisors of 313 :

The positive integer divisors of 313 that completely divides 313 are.

1, 313

Divisors of 209 :

The positive integer divisors of 209 that completely divides 209 are.

1, 11, 19, 209

Divisors of 320 :

The positive integer divisors of 320 that completely divides 320 are.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320


GCD of numbers is the greatest common divisor

So, the GCD (234, 313, 209, 320) = 1.

Find GCD of 234, 313, 209, 320 using Prime Factorization

Given numbers are 234, 313, 209, 320

The list of prime factors of all numbers are

Prime factors of 234 are 2 x 3 x 3 x 13

Prime factors of 313 are 313

Prime factors of 209 are 11 x 19

Prime factors of 320 are 2 x 2 x 2 x 2 x 2 x 2 x 5

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

Steps to Calculate GCD of 234, 313, 209, 320 using LCM Formula

Given numbers are 234, 313, 209, 320

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

Apply this formula for all numbers.

Step1:

LCM(234, 313) = 73242

GCD(234, 313) = ( 234 x 313 ) / 73242

= 234 / 313

= 234


Step2:

LCM(1, 209) = 209

GCD(1, 209) = ( 1 x 209 ) / 209

= 1 / 209

= 1


Step3:

LCM(1, 320) = 320

GCD(1, 320) = ( 1 x 320 ) / 320

= 1 / 320

= 1


So, Greatest Common Divisor of 234, 313, 209, 320 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 234, 313, 209, 320

Given numbers are 234, 313, 209, 320
The greatest common divisor of numbers 234, 313, 209, 320 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 234, 313, 209, 320 is 1.

FAQs on GCD of 234, 313, 209, 320 Calculator

1. What is the GCD of 234, 313, 209, 320?

GCD of given numbers 234, 313, 209, 320 is 1


2. How to calculate the greatest common divisor of 234, 313, 209, 320?

We can find the highest common divisor of 234, 313, 209, 320 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 234, 313, 209, 320 i.e 1.


3. How can I use the GCD of 234, 313, 209, 320Calculator?

Out the numbers 234, 313, 209, 320 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.