GCD of 386, 756, 628, 379 Calculator

Given Input numbers are 386, 756, 628, 379

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

Divisors of 386

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

1, 2, 193, 386

Divisors of 756

List of positive integer divisors of 756 that divides 756 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

Divisors of 628

List of positive integer divisors of 628 that divides 628 without a remainder.

1, 2, 4, 157, 314, 628

Divisors of 379

List of positive integer divisors of 379 that divides 379 without a remainder.

1, 379

Greatest Common Divisior

We found the divisors of 386, 756, 628, 379 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 386, 756, 628, 379 is 1.

Therefore, GCD of numbers 386, 756, 628, 379 is 1

Given Input Data is 386, 756, 628, 379

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

Prime Factorization of 386 is 2 x 193

Prime Factorization of 756 is 2 x 2 x 3 x 3 x 3 x 7

Prime Factorization of 628 is 2 x 2 x 157

Prime Factorization of 379 is 379

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(386, 756) = 145908

GCD(386, 756) = ( 386 x 756 ) / 145908

GCD(386, 756) = 291816 / 145908

GCD(386, 756) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 628

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

LCM(2, 628) = 628

GCD(2, 628) = ( 2 x 628 ) / 628

GCD(2, 628) = 1256 / 628

GCD(2, 628) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 379

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

LCM(2, 379) = 758

GCD(2, 379) = ( 2 x 379 ) / 758

GCD(2, 379) = 758 / 758

GCD(2, 379) = 1

GCD of 386, 756, 628, 379 is 1

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1. What is the GCD of 386, 756, 628, 379?

GCD of 386, 756, 628, 379 is 1

2. Where do I get the detailed procedure to find GCD of 386, 756, 628, 379?

You can find a detailed procedure to find GCD of 386, 756, 628, 379 on our page.

3. How to find GCD of 386, 756, 628, 379 on a calculator?

You can find the GCD of 386, 756, 628, 379 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.