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GCD of 686, 874, 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 686, 874, 331 quickly. Get the easiest ways to solve the greatest common divisor of 686, 874, 331 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 686, 874, 331 with Factoring?

Given Input numbers are 686, 874, 331

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

Divisors of 686 :

The positive integer divisors of 686 that completely divides 686 are.

1, 2, 7, 14, 49, 98, 343, 686

Divisors of 874 :

The positive integer divisors of 874 that completely divides 874 are.

1, 2, 19, 23, 38, 46, 437, 874

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 (686, 874, 331) = 1.

Find GCD of 686, 874, 331 using Prime Factorization

Given numbers are 686, 874, 331

The list of prime factors of all numbers are

Prime factors of 686 are 2 x 7 x 7 x 7

Prime factors of 874 are 2 x 19 x 23

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 686, 874, 331 using LCM Formula

Given numbers are 686, 874, 331

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

Apply this formula for all numbers.

Step1:

LCM(686, 874) = 299782

GCD(686, 874) = ( 686 x 874 ) / 299782

= 686 / 874

= 686


Step2:

LCM(2, 331) = 662

GCD(2, 331) = ( 2 x 331 ) / 662

= 2 / 331

= 2


So, Greatest Common Divisor of 686, 874, 331 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 686, 874, 331

Given numbers are 686, 874, 331
The greatest common divisor of numbers 686, 874, 331 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 686, 874, 331 is 1.

FAQs on GCD of 686, 874, 331 Calculator

1. What is the GCD of 686, 874, 331?

GCD of given numbers 686, 874, 331 is 1


2. How to calculate the greatest common divisor of 686, 874, 331?

We can find the highest common divisor of 686, 874, 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 686, 874, 331 i.e 1.


3. How can I use the GCD of 686, 874, 331Calculator?

Out the numbers 686, 874, 331 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.