LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCD of 684, 617, 404, 331 Calculator

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


Online GCD Calculator is useful to find the GCD of 684, 617, 404, 331 quickly. Get the easiest ways to solve the greatest common divisor of 684, 617, 404, 331 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 684, 617, 404, 331 with Factoring?

Given Input numbers are 684, 617, 404, 331

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

Divisors of 684 :

The positive integer divisors of 684 that completely divides 684 are.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

Divisors of 617 :

The positive integer divisors of 617 that completely divides 617 are.

1, 617

Divisors of 404 :

The positive integer divisors of 404 that completely divides 404 are.

1, 2, 4, 101, 202, 404

Divisors of 331 :

The positive integer divisors of 331 that completely divides 331 are.

1, 331


GCD of numbers is the greatest common divisor

So, the GCD (684, 617, 404, 331) = 1.

Find GCD of 684, 617, 404, 331 using Prime Factorization

Given numbers are 684, 617, 404, 331

The list of prime factors of all numbers are

Prime factors of 684 are 2 x 2 x 3 x 3 x 19

Prime factors of 617 are 617

Prime factors of 404 are 2 x 2 x 101

Prime factors of 331 are 331

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

Steps to Calculate GCD of 684, 617, 404, 331 using LCM Formula

Given numbers are 684, 617, 404, 331

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

Apply this formula for all numbers.

Step1:

LCM(684, 617) = 422028

GCD(684, 617) = ( 684 x 617 ) / 422028

= 684 / 617

= 684


Step2:

LCM(1, 404) = 404

GCD(1, 404) = ( 1 x 404 ) / 404

= 1 / 404

= 1


Step3:

LCM(1, 331) = 331

GCD(1, 331) = ( 1 x 331 ) / 331

= 1 / 331

= 1


So, Greatest Common Divisor of 684, 617, 404, 331 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 684, 617, 404, 331

Given numbers are 684, 617, 404, 331
The greatest common divisor of numbers 684, 617, 404, 331 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 684, 617, 404, 331 is 1.

FAQs on GCD of 684, 617, 404, 331 Calculator

1. What is the GCD of 684, 617, 404, 331?

GCD of given numbers 684, 617, 404, 331 is 1


2. How to calculate the greatest common divisor of 684, 617, 404, 331?

We can find the highest common divisor of 684, 617, 404, 331 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 684, 617, 404, 331 i.e 1.


3. How can I use the GCD of 684, 617, 404, 331Calculator?

Out the numbers 684, 617, 404, 331 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.