GCD of 380, 782, 386 Calculator

Given Input numbers are 380, 782, 386

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 782

List of positive integer divisors of 782 that divides 782 without a remainder.

1, 2, 17, 23, 34, 46, 391, 782

Divisors of 386

List of positive integer divisors of 386 that divides 386 without a remainder.

1, 2, 193, 386

Greatest Common Divisior

We found the divisors of 380, 782, 386 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 380, 782, 386 is 2.

Therefore, GCD of numbers 380, 782, 386 is 2

Given Input Data is 380, 782, 386

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 782 is 2 x 17 x 23

Prime Factorization of 386 is 2 x 193

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, 782) = 148580

GCD(380, 782) = ( 380 x 782 ) / 148580

GCD(380, 782) = 297160 / 148580

GCD(380, 782) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 386

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

LCM(2, 386) = 386

GCD(2, 386) = ( 2 x 386 ) / 386

GCD(2, 386) = 772 / 386

GCD(2, 386) = 2

GCD of 380, 782, 386 is 2

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1. What is the GCD of 380, 782, 386?

GCD of 380, 782, 386 is 2

2. Where do I get the detailed procedure to find GCD of 380, 782, 386?

You can find a detailed procedure to find GCD of 380, 782, 386 on our page.

3. How to find GCD of 380, 782, 386 on a calculator?

You can find the GCD of 380, 782, 386 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.