GCD of 107, 279, 932, 344 Calculator

Given Input numbers are 107, 279, 932, 344

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

Divisors of 107

List of positive integer divisors of 107 that divides 107 without a remainder.

1, 107

Divisors of 279

List of positive integer divisors of 279 that divides 279 without a remainder.

1, 3, 9, 31, 93, 279

Divisors of 932

List of positive integer divisors of 932 that divides 932 without a remainder.

1, 2, 4, 233, 466, 932

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 107, 279, 932, 344 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 107, 279, 932, 344 is 1.

Therefore, GCD of numbers 107, 279, 932, 344 is 1

Given Input Data is 107, 279, 932, 344

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

Prime Factorization of 107 is 107

Prime Factorization of 279 is 3 x 3 x 31

Prime Factorization of 932 is 2 x 2 x 233

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(107, 279) = 29853

GCD(107, 279) = ( 107 x 279 ) / 29853

GCD(107, 279) = 29853 / 29853

GCD(107, 279) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 932

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

LCM(1, 932) = 932

GCD(1, 932) = ( 1 x 932 ) / 932

GCD(1, 932) = 932 / 932

GCD(1, 932) = 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 107, 279, 932, 344 is 1

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1. What is the GCD of 107, 279, 932, 344?

GCD of 107, 279, 932, 344 is 1

2. Where do I get the detailed procedure to find GCD of 107, 279, 932, 344?

You can find a detailed procedure to find GCD of 107, 279, 932, 344 on our page.

3. How to find GCD of 107, 279, 932, 344 on a calculator?

You can find the GCD of 107, 279, 932, 344 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.