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GCD of 390, 289, 340 Calculator

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


Online GCD Calculator is useful to find the GCD of 390, 289, 340 quickly. Get the easiest ways to solve the greatest common divisor of 390, 289, 340 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 390, 289, 340 with Factoring?

Given Input numbers are 390, 289, 340

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

Divisors of 390 :

The positive integer divisors of 390 that completely divides 390 are.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

Divisors of 289 :

The positive integer divisors of 289 that completely divides 289 are.

1, 17, 289

Divisors of 340 :

The positive integer divisors of 340 that completely divides 340 are.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340


GCD of numbers is the greatest common divisor

So, the GCD (390, 289, 340) = 1.

Find GCD of 390, 289, 340 using Prime Factorization

Given numbers are 390, 289, 340

The list of prime factors of all numbers are

Prime factors of 390 are 2 x 3 x 5 x 13

Prime factors of 289 are 17 x 17

Prime factors of 340 are 2 x 2 x 5 x 17

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

Steps to Calculate GCD of 390, 289, 340 using LCM Formula

Given numbers are 390, 289, 340

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

Apply this formula for all numbers.

Step1:

LCM(390, 289) = 112710

GCD(390, 289) = ( 390 x 289 ) / 112710

= 390 / 289

= 390


Step2:

LCM(1, 340) = 340

GCD(1, 340) = ( 1 x 340 ) / 340

= 1 / 340

= 1


So, Greatest Common Divisor of 390, 289, 340 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 390, 289, 340

Given numbers are 390, 289, 340
The greatest common divisor of numbers 390, 289, 340 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 390, 289, 340 is 1.

FAQs on GCD of 390, 289, 340 Calculator

1. What is the GCD of 390, 289, 340?

GCD of given numbers 390, 289, 340 is 1


2. How to calculate the greatest common divisor of 390, 289, 340?

We can find the highest common divisor of 390, 289, 340 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 390, 289, 340 i.e 1.


3. How can I use the GCD of 390, 289, 340Calculator?

Out the numbers 390, 289, 340 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.