GCD of 685, 359, 37, 344 Calculator

Given Input numbers are 685, 359, 37, 344

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 685

List of positive integer divisors of 685 that divides 685 without a remainder.

1, 5, 137, 685

Divisors of 359

List of positive integer divisors of 359 that divides 359 without a remainder.

1, 359

Divisors of 37

List of positive integer divisors of 37 that divides 37 without a remainder.

1, 37

Divisors of 344

List of positive integer divisors of 344 that divides 344 without a remainder.

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

Greatest Common Divisior

We found the divisors of 685, 359, 37, 344 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 685, 359, 37, 344 is 1.

Therefore, GCD of numbers 685, 359, 37, 344 is 1

Given Input Data is 685, 359, 37, 344

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 685 is 5 x 137

Prime Factorization of 359 is 359

Prime Factorization of 37 is 37

Prime Factorization of 344 is 2 x 2 x 2 x 43

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

Step1:

Let's calculate the GCD of first two numbers

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

LCM(685, 359) = 245915

GCD(685, 359) = ( 685 x 359 ) / 245915

GCD(685, 359) = 245915 / 245915

GCD(685, 359) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 37

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

LCM(1, 37) = 37

GCD(1, 37) = ( 1 x 37 ) / 37

GCD(1, 37) = 37 / 37

GCD(1, 37) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 344

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

LCM(1, 344) = 344

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

GCD(1, 344) = 344 / 344

GCD(1, 344) = 1

GCD of 685, 359, 37, 344 is 1

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1. What is the GCD of 685, 359, 37, 344?

GCD of 685, 359, 37, 344 is 1

2. Where do I get the detailed procedure to find GCD of 685, 359, 37, 344?

You can find a detailed procedure to find GCD of 685, 359, 37, 344 on our page.

3. How to find GCD of 685, 359, 37, 344 on a calculator?

You can find the GCD of 685, 359, 37, 344 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.