GCD of 932, 424, 789, 313 Calculator

Given Input numbers are 932, 424, 789, 313

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

Divisors of 932

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

1, 2, 4, 233, 466, 932

Divisors of 424

List of positive integer divisors of 424 that divides 424 without a remainder.

1, 2, 4, 8, 53, 106, 212, 424

Divisors of 789

List of positive integer divisors of 789 that divides 789 without a remainder.

1, 3, 263, 789

Divisors of 313

List of positive integer divisors of 313 that divides 313 without a remainder.

1, 313

Greatest Common Divisior

We found the divisors of 932, 424, 789, 313 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 932, 424, 789, 313 is 1.

Therefore, GCD of numbers 932, 424, 789, 313 is 1

Given Input Data is 932, 424, 789, 313

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

Prime Factorization of 932 is 2 x 2 x 233

Prime Factorization of 424 is 2 x 2 x 2 x 53

Prime Factorization of 789 is 3 x 263

Prime Factorization of 313 is 313

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(932, 424) = 98792

GCD(932, 424) = ( 932 x 424 ) / 98792

GCD(932, 424) = 395168 / 98792

GCD(932, 424) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 789

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

LCM(4, 789) = 3156

GCD(4, 789) = ( 4 x 789 ) / 3156

GCD(4, 789) = 3156 / 3156

GCD(4, 789) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 313

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

LCM(1, 313) = 313

GCD(1, 313) = ( 1 x 313 ) / 313

GCD(1, 313) = 313 / 313

GCD(1, 313) = 1

GCD of 932, 424, 789, 313 is 1

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1. What is the GCD of 932, 424, 789, 313?

GCD of 932, 424, 789, 313 is 1

2. Where do I get the detailed procedure to find GCD of 932, 424, 789, 313?

You can find a detailed procedure to find GCD of 932, 424, 789, 313 on our page.

3. How to find GCD of 932, 424, 789, 313 on a calculator?

You can find the GCD of 932, 424, 789, 313 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.