GCD of 516, 318, 69, 302 Calculator

Given Input numbers are 516, 318, 69, 302

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

Divisors of 516

List of positive integer divisors of 516 that divides 516 without a remainder.

1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

Divisors of 318

List of positive integer divisors of 318 that divides 318 without a remainder.

1, 2, 3, 6, 53, 106, 159, 318

Divisors of 69

List of positive integer divisors of 69 that divides 69 without a remainder.

1, 3, 23, 69

Divisors of 302

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

1, 2, 151, 302

Greatest Common Divisior

We found the divisors of 516, 318, 69, 302 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 516, 318, 69, 302 is 1.

Therefore, GCD of numbers 516, 318, 69, 302 is 1

Given Input Data is 516, 318, 69, 302

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

Prime Factorization of 516 is 2 x 2 x 3 x 43

Prime Factorization of 318 is 2 x 3 x 53

Prime Factorization of 69 is 3 x 23

Prime Factorization of 302 is 2 x 151

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(516, 318) = 27348

GCD(516, 318) = ( 516 x 318 ) / 27348

GCD(516, 318) = 164088 / 27348

GCD(516, 318) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 69

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

LCM(6, 69) = 138

GCD(6, 69) = ( 6 x 69 ) / 138

GCD(6, 69) = 414 / 138

GCD(6, 69) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 302

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

LCM(3, 302) = 906

GCD(3, 302) = ( 3 x 302 ) / 906

GCD(3, 302) = 906 / 906

GCD(3, 302) = 1

GCD of 516, 318, 69, 302 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 904, 447, 30, 905
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• GCD of 466, 310, 55, 657

1. What is the GCD of 516, 318, 69, 302?

GCD of 516, 318, 69, 302 is 1

2. Where do I get the detailed procedure to find GCD of 516, 318, 69, 302?

You can find a detailed procedure to find GCD of 516, 318, 69, 302 on our page.

3. How to find GCD of 516, 318, 69, 302 on a calculator?

You can find the GCD of 516, 318, 69, 302 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.