GCD of 218, 302, 747 Calculator

Given Input numbers are 218, 302, 747

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 302

List of positive integer divisors of 302 that divides 302 without a remainder.

1, 2, 151, 302

Divisors of 747

List of positive integer divisors of 747 that divides 747 without a remainder.

1, 3, 9, 83, 249, 747

Greatest Common Divisior

We found the divisors of 218, 302, 747 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 218, 302, 747 is 1.

Therefore, GCD of numbers 218, 302, 747 is 1

Given Input Data is 218, 302, 747

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

Prime Factorization of 218 is 2 x 109

Prime Factorization of 302 is 2 x 151

Prime Factorization of 747 is 3 x 3 x 83

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(218, 302) = 32918

GCD(218, 302) = ( 218 x 302 ) / 32918

GCD(218, 302) = 65836 / 32918

GCD(218, 302) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 747

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

LCM(2, 747) = 1494

GCD(2, 747) = ( 2 x 747 ) / 1494

GCD(2, 747) = 1494 / 1494

GCD(2, 747) = 1

GCD of 218, 302, 747 is 1

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1. What is the GCD of 218, 302, 747?

GCD of 218, 302, 747 is 1

2. Where do I get the detailed procedure to find GCD of 218, 302, 747?

You can find a detailed procedure to find GCD of 218, 302, 747 on our page.

3. How to find GCD of 218, 302, 747 on a calculator?

You can find the GCD of 218, 302, 747 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.