GCD of 380, 764, 104 Calculator

Given Input numbers are 380, 764, 104

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 764

List of positive integer divisors of 764 that divides 764 without a remainder.

1, 2, 4, 191, 382, 764

Divisors of 104

List of positive integer divisors of 104 that divides 104 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104

Greatest Common Divisior

We found the divisors of 380, 764, 104 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 380, 764, 104 is 4.

Therefore, GCD of numbers 380, 764, 104 is 4

Given Input Data is 380, 764, 104

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 764 is 2 x 2 x 191

Prime Factorization of 104 is 2 x 2 x 2 x 13

Highest common occurrences in the given inputs are 2²

Multiplying them we get the GCD as 4

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, 764) = 72580

GCD(380, 764) = ( 380 x 764 ) / 72580

GCD(380, 764) = 290320 / 72580

GCD(380, 764) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 104

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

LCM(4, 104) = 104

GCD(4, 104) = ( 4 x 104 ) / 104

GCD(4, 104) = 416 / 104

GCD(4, 104) = 4

GCD of 380, 764, 104 is 4

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1. What is the GCD of 380, 764, 104?

GCD of 380, 764, 104 is 4

2. Where do I get the detailed procedure to find GCD of 380, 764, 104?

You can find a detailed procedure to find GCD of 380, 764, 104 on our page.

3. How to find GCD of 380, 764, 104 on a calculator?

You can find the GCD of 380, 764, 104 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.