GCD of 568, 982, 90, 756 Calculator

Given Input numbers are 568, 982, 90, 756

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

Divisors of 568

List of positive integer divisors of 568 that divides 568 without a remainder.

1, 2, 4, 8, 71, 142, 284, 568

Divisors of 982

List of positive integer divisors of 982 that divides 982 without a remainder.

1, 2, 491, 982

Divisors of 90

List of positive integer divisors of 90 that divides 90 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

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

Greatest Common Divisior

We found the divisors of 568, 982, 90, 756 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 568, 982, 90, 756 is 2.

Therefore, GCD of numbers 568, 982, 90, 756 is 2

Given Input Data is 568, 982, 90, 756

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

Prime Factorization of 568 is 2 x 2 x 2 x 71

Prime Factorization of 982 is 2 x 491

Prime Factorization of 90 is 2 x 3 x 3 x 5

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

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(568, 982) = 278888

GCD(568, 982) = ( 568 x 982 ) / 278888

GCD(568, 982) = 557776 / 278888

GCD(568, 982) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 90

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

LCM(2, 90) = 90

GCD(2, 90) = ( 2 x 90 ) / 90

GCD(2, 90) = 180 / 90

GCD(2, 90) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 756

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

LCM(2, 756) = 756

GCD(2, 756) = ( 2 x 756 ) / 756

GCD(2, 756) = 1512 / 756

GCD(2, 756) = 2

GCD of 568, 982, 90, 756 is 2

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1. What is the GCD of 568, 982, 90, 756?

GCD of 568, 982, 90, 756 is 2

2. Where do I get the detailed procedure to find GCD of 568, 982, 90, 756?

You can find a detailed procedure to find GCD of 568, 982, 90, 756 on our page.

3. How to find GCD of 568, 982, 90, 756 on a calculator?

You can find the GCD of 568, 982, 90, 756 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.