GCD of 218, 594, 702, 824 Calculator

Given Input numbers are 218, 594, 702, 824

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

Divisors of 218

List of positive integer divisors of 218 that divides 218 without a remainder.

1, 2, 109, 218

Divisors of 594

List of positive integer divisors of 594 that divides 594 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594

Divisors of 702

List of positive integer divisors of 702 that divides 702 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

Divisors of 824

List of positive integer divisors of 824 that divides 824 without a remainder.

1, 2, 4, 8, 103, 206, 412, 824

Greatest Common Divisior

We found the divisors of 218, 594, 702, 824 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 218, 594, 702, 824 is 2.

Therefore, GCD of numbers 218, 594, 702, 824 is 2

Given Input Data is 218, 594, 702, 824

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

Prime Factorization of 218 is 2 x 109

Prime Factorization of 594 is 2 x 3 x 3 x 3 x 11

Prime Factorization of 702 is 2 x 3 x 3 x 3 x 13

Prime Factorization of 824 is 2 x 2 x 2 x 103

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(218, 594) = 64746

GCD(218, 594) = ( 218 x 594 ) / 64746

GCD(218, 594) = 129492 / 64746

GCD(218, 594) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 702

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

LCM(2, 702) = 702

GCD(2, 702) = ( 2 x 702 ) / 702

GCD(2, 702) = 1404 / 702

GCD(2, 702) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 824

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

LCM(2, 824) = 824

GCD(2, 824) = ( 2 x 824 ) / 824

GCD(2, 824) = 1648 / 824

GCD(2, 824) = 2

GCD of 218, 594, 702, 824 is 2

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1. What is the GCD of 218, 594, 702, 824?

GCD of 218, 594, 702, 824 is 2

2. Where do I get the detailed procedure to find GCD of 218, 594, 702, 824?

You can find a detailed procedure to find GCD of 218, 594, 702, 824 on our page.

3. How to find GCD of 218, 594, 702, 824 on a calculator?

You can find the GCD of 218, 594, 702, 824 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.