GCD of 380, 980, 594 Calculator

Given Input numbers are 380, 980, 594

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 980

List of positive integer divisors of 980 that divides 980 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980

Divisors of 594

List of positive integer divisors of 594 that divides 594 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594

Greatest Common Divisior

We found the divisors of 380, 980, 594 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 380, 980, 594 is 2.

Therefore, GCD of numbers 380, 980, 594 is 2

Given Input Data is 380, 980, 594

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 980 is 2 x 2 x 5 x 7 x 7

Prime Factorization of 594 is 2 x 3 x 3 x 3 x 11

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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, 980) = 18620

GCD(380, 980) = ( 380 x 980 ) / 18620

GCD(380, 980) = 372400 / 18620

GCD(380, 980) = 20

Step2:

Here we consider the GCD from the above i.e. 20 as first number and the next as 594

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

LCM(20, 594) = 5940

GCD(20, 594) = ( 20 x 594 ) / 5940

GCD(20, 594) = 11880 / 5940

GCD(20, 594) = 2

GCD of 380, 980, 594 is 2

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1. What is the GCD of 380, 980, 594?

GCD of 380, 980, 594 is 2

2. Where do I get the detailed procedure to find GCD of 380, 980, 594?

You can find a detailed procedure to find GCD of 380, 980, 594 on our page.

3. How to find GCD of 380, 980, 594 on a calculator?

You can find the GCD of 380, 980, 594 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.