GCD of 380, 589, 753 Calculator

Given Input numbers are 380, 589, 753

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

Divisors of 380

List of positive integer divisors of 380 that divides 380 without a remainder.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

Divisors of 589

List of positive integer divisors of 589 that divides 589 without a remainder.

1, 19, 31, 589

Divisors of 753

List of positive integer divisors of 753 that divides 753 without a remainder.

1, 3, 251, 753

Greatest Common Divisior

We found the divisors of 380, 589, 753 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 380, 589, 753 is 1.

Therefore, GCD of numbers 380, 589, 753 is 1

Given Input Data is 380, 589, 753

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

Prime Factorization of 380 is 2 x 2 x 5 x 19

Prime Factorization of 589 is 19 x 31

Prime Factorization of 753 is 3 x 251

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(380, 589) = 11780

GCD(380, 589) = ( 380 x 589 ) / 11780

GCD(380, 589) = 223820 / 11780

GCD(380, 589) = 19

Step2:

Here we consider the GCD from the above i.e. 19 as first number and the next as 753

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

LCM(19, 753) = 14307

GCD(19, 753) = ( 19 x 753 ) / 14307

GCD(19, 753) = 14307 / 14307

GCD(19, 753) = 1

GCD of 380, 589, 753 is 1

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1. What is the GCD of 380, 589, 753?

GCD of 380, 589, 753 is 1

2. Where do I get the detailed procedure to find GCD of 380, 589, 753?

You can find a detailed procedure to find GCD of 380, 589, 753 on our page.

3. How to find GCD of 380, 589, 753 on a calculator?

You can find the GCD of 380, 589, 753 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.