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GCD of 685, 731, 696, 344 Calculator

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


Online GCD Calculator is useful to find the GCD of 685, 731, 696, 344 quickly. Get the easiest ways to solve the greatest common divisor of 685, 731, 696, 344 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 685, 731, 696, 344 with Factoring?

Given Input numbers are 685, 731, 696, 344

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

Divisors of 685 :

The positive integer divisors of 685 that completely divides 685 are.

1, 5, 137, 685

Divisors of 731 :

The positive integer divisors of 731 that completely divides 731 are.

1, 17, 43, 731

Divisors of 696 :

The positive integer divisors of 696 that completely divides 696 are.

1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

Divisors of 344 :

The positive integer divisors of 344 that completely divides 344 are.

1, 2, 4, 8, 43, 86, 172, 344


GCD of numbers is the greatest common divisor

So, the GCD (685, 731, 696, 344) = 1.

Find GCD of 685, 731, 696, 344 using Prime Factorization

Given numbers are 685, 731, 696, 344

The list of prime factors of all numbers are

Prime factors of 685 are 5 x 137

Prime factors of 731 are 17 x 43

Prime factors of 696 are 2 x 2 x 2 x 3 x 29

Prime factors of 344 are 2 x 2 x 2 x 43

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

Steps to Calculate GCD of 685, 731, 696, 344 using LCM Formula

Given numbers are 685, 731, 696, 344

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

Apply this formula for all numbers.

Step1:

LCM(685, 731) = 500735

GCD(685, 731) = ( 685 x 731 ) / 500735

= 685 / 731

= 685


Step2:

LCM(1, 696) = 696

GCD(1, 696) = ( 1 x 696 ) / 696

= 1 / 696

= 1


Step3:

LCM(1, 344) = 344

GCD(1, 344) = ( 1 x 344 ) / 344

= 1 / 344

= 1


So, Greatest Common Divisor of 685, 731, 696, 344 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 685, 731, 696, 344

Given numbers are 685, 731, 696, 344
The greatest common divisor of numbers 685, 731, 696, 344 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 685, 731, 696, 344 is 1.

FAQs on GCD of 685, 731, 696, 344 Calculator

1. What is the GCD of 685, 731, 696, 344?

GCD of given numbers 685, 731, 696, 344 is 1


2. How to calculate the greatest common divisor of 685, 731, 696, 344?

We can find the highest common divisor of 685, 731, 696, 344 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 685, 731, 696, 344 i.e 1.


3. How can I use the GCD of 685, 731, 696, 344Calculator?

Out the numbers 685, 731, 696, 344 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.