GCD of 756, 386, 328 Calculator

Given Input numbers are 756, 386, 328

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

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 386

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

1, 2, 193, 386

Divisors of 328

List of positive integer divisors of 328 that divides 328 without a remainder.

1, 2, 4, 8, 41, 82, 164, 328

Greatest Common Divisior

We found the divisors of 756, 386, 328 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 756, 386, 328 is 2.

Therefore, GCD of numbers 756, 386, 328 is 2

Given Input Data is 756, 386, 328

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

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

Prime Factorization of 386 is 2 x 193

Prime Factorization of 328 is 2 x 2 x 2 x 41

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(756, 386) = 145908

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

GCD(756, 386) = 291816 / 145908

GCD(756, 386) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 328

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

LCM(2, 328) = 328

GCD(2, 328) = ( 2 x 328 ) / 328

GCD(2, 328) = 656 / 328

GCD(2, 328) = 2

GCD of 756, 386, 328 is 2

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1. What is the GCD of 756, 386, 328?

GCD of 756, 386, 328 is 2

2. Where do I get the detailed procedure to find GCD of 756, 386, 328?

You can find a detailed procedure to find GCD of 756, 386, 328 on our page.

3. How to find GCD of 756, 386, 328 on a calculator?

You can find the GCD of 756, 386, 328 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.