GCD of 216, 114, 59, 529 Calculator

Given Input numbers are 216, 114, 59, 529

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

Divisors of 216

List of positive integer divisors of 216 that divides 216 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

Divisors of 114

List of positive integer divisors of 114 that divides 114 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114

Divisors of 59

List of positive integer divisors of 59 that divides 59 without a remainder.

1, 59

Divisors of 529

List of positive integer divisors of 529 that divides 529 without a remainder.

1, 23, 529

Greatest Common Divisior

We found the divisors of 216, 114, 59, 529 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 216, 114, 59, 529 is 1.

Therefore, GCD of numbers 216, 114, 59, 529 is 1

Given Input Data is 216, 114, 59, 529

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

Prime Factorization of 216 is 2 x 2 x 2 x 3 x 3 x 3

Prime Factorization of 114 is 2 x 3 x 19

Prime Factorization of 59 is 59

Prime Factorization of 529 is 23 x 23

The above numbers do not have any common prime factor. So GCD is 1

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(216, 114) = 4104

GCD(216, 114) = ( 216 x 114 ) / 4104

GCD(216, 114) = 24624 / 4104

GCD(216, 114) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 59

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

LCM(6, 59) = 354

GCD(6, 59) = ( 6 x 59 ) / 354

GCD(6, 59) = 354 / 354

GCD(6, 59) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 529

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

LCM(1, 529) = 529

GCD(1, 529) = ( 1 x 529 ) / 529

GCD(1, 529) = 529 / 529

GCD(1, 529) = 1

GCD of 216, 114, 59, 529 is 1

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• GCD of 989, 253, 63, 482
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1. What is the GCD of 216, 114, 59, 529?

GCD of 216, 114, 59, 529 is 1

2. Where do I get the detailed procedure to find GCD of 216, 114, 59, 529?

You can find a detailed procedure to find GCD of 216, 114, 59, 529 on our page.

3. How to find GCD of 216, 114, 59, 529 on a calculator?

You can find the GCD of 216, 114, 59, 529 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.