GCD of 578, 756, 320 Calculator

Given Input numbers are 578, 756, 320

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

Divisors of 578

List of positive integer divisors of 578 that divides 578 without a remainder.

1, 2, 17, 34, 289, 578

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 320

List of positive integer divisors of 320 that divides 320 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

Greatest Common Divisior

We found the divisors of 578, 756, 320 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 578, 756, 320 is 2.

Therefore, GCD of numbers 578, 756, 320 is 2

Given Input Data is 578, 756, 320

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

Prime Factorization of 578 is 2 x 17 x 17

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

Prime Factorization of 320 is 2 x 2 x 2 x 2 x 2 x 2 x 5

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(578, 756) = 218484

GCD(578, 756) = ( 578 x 756 ) / 218484

GCD(578, 756) = 436968 / 218484

GCD(578, 756) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 320

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

LCM(2, 320) = 320

GCD(2, 320) = ( 2 x 320 ) / 320

GCD(2, 320) = 640 / 320

GCD(2, 320) = 2

GCD of 578, 756, 320 is 2

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1. What is the GCD of 578, 756, 320?

GCD of 578, 756, 320 is 2

2. Where do I get the detailed procedure to find GCD of 578, 756, 320?

You can find a detailed procedure to find GCD of 578, 756, 320 on our page.

3. How to find GCD of 578, 756, 320 on a calculator?

You can find the GCD of 578, 756, 320 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.