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GCD of 390, 174, 679 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, 174, 679 quickly. Get the easiest ways to solve the greatest common divisor of 390, 174, 679 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 390, 174, 679 with Factoring?

Given Input numbers are 390, 174, 679

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 174 :

The positive integer divisors of 174 that completely divides 174 are.

1, 2, 3, 6, 29, 58, 87, 174

Divisors of 679 :

The positive integer divisors of 679 that completely divides 679 are.

1, 7, 97, 679


GCD of numbers is the greatest common divisor

So, the GCD (390, 174, 679) = 1.

Find GCD of 390, 174, 679 using Prime Factorization

Given numbers are 390, 174, 679

The list of prime factors of all numbers are

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

Prime factors of 174 are 2 x 3 x 29

Prime factors of 679 are 7 x 97

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

Steps to Calculate GCD of 390, 174, 679 using LCM Formula

Given numbers are 390, 174, 679

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

Apply this formula for all numbers.

Step1:

LCM(390, 174) = 11310

GCD(390, 174) = ( 390 x 174 ) / 11310

= 390 / 174

= 390


Step2:

LCM(6, 679) = 4074

GCD(6, 679) = ( 6 x 679 ) / 4074

= 6 / 679

= 6


So, Greatest Common Divisor of 390, 174, 679 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 390, 174, 679

Given numbers are 390, 174, 679
The greatest common divisor of numbers 390, 174, 679 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 390, 174, 679 is 1.

FAQs on GCD of 390, 174, 679 Calculator

1. What is the GCD of 390, 174, 679?

GCD of given numbers 390, 174, 679 is 1


2. How to calculate the greatest common divisor of 390, 174, 679?

We can find the highest common divisor of 390, 174, 679 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, 174, 679 i.e 1.


3. How can I use the GCD of 390, 174, 679Calculator?

Out the numbers 390, 174, 679 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.