GCD of 524, 228, 588, 790 Calculator

Given Input numbers are 524, 228, 588, 790

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

Divisors of 524

List of positive integer divisors of 524 that divides 524 without a remainder.

1, 2, 4, 131, 262, 524

Divisors of 228

List of positive integer divisors of 228 that divides 228 without a remainder.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

Divisors of 588

List of positive integer divisors of 588 that divides 588 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

Divisors of 790

List of positive integer divisors of 790 that divides 790 without a remainder.

1, 2, 5, 10, 79, 158, 395, 790

Greatest Common Divisior

We found the divisors of 524, 228, 588, 790 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 524, 228, 588, 790 is 2.

Therefore, GCD of numbers 524, 228, 588, 790 is 2

Given Input Data is 524, 228, 588, 790

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

Prime Factorization of 524 is 2 x 2 x 131

Prime Factorization of 228 is 2 x 2 x 3 x 19

Prime Factorization of 588 is 2 x 2 x 3 x 7 x 7

Prime Factorization of 790 is 2 x 5 x 79

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(524, 228) = 29868

GCD(524, 228) = ( 524 x 228 ) / 29868

GCD(524, 228) = 119472 / 29868

GCD(524, 228) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 588

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

LCM(4, 588) = 588

GCD(4, 588) = ( 4 x 588 ) / 588

GCD(4, 588) = 2352 / 588

GCD(4, 588) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 790

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

LCM(4, 790) = 1580

GCD(4, 790) = ( 4 x 790 ) / 1580

GCD(4, 790) = 3160 / 1580

GCD(4, 790) = 2

GCD of 524, 228, 588, 790 is 2

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1. What is the GCD of 524, 228, 588, 790?

GCD of 524, 228, 588, 790 is 2

2. Where do I get the detailed procedure to find GCD of 524, 228, 588, 790?

You can find a detailed procedure to find GCD of 524, 228, 588, 790 on our page.

3. How to find GCD of 524, 228, 588, 790 on a calculator?

You can find the GCD of 524, 228, 588, 790 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.