GCD of 312, 626, 602, 516 Calculator

Given Input numbers are 312, 626, 602, 516

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

Divisors of 312

List of positive integer divisors of 312 that divides 312 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Divisors of 626

List of positive integer divisors of 626 that divides 626 without a remainder.

1, 2, 313, 626

Divisors of 602

List of positive integer divisors of 602 that divides 602 without a remainder.

1, 2, 7, 14, 43, 86, 301, 602

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

Greatest Common Divisior

We found the divisors of 312, 626, 602, 516 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 312, 626, 602, 516 is 2.

Therefore, GCD of numbers 312, 626, 602, 516 is 2

Given Input Data is 312, 626, 602, 516

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

Prime Factorization of 312 is 2 x 2 x 2 x 3 x 13

Prime Factorization of 626 is 2 x 313

Prime Factorization of 602 is 2 x 7 x 43

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

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(312, 626) = 97656

GCD(312, 626) = ( 312 x 626 ) / 97656

GCD(312, 626) = 195312 / 97656

GCD(312, 626) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 602

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

LCM(2, 602) = 602

GCD(2, 602) = ( 2 x 602 ) / 602

GCD(2, 602) = 1204 / 602

GCD(2, 602) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 516

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

LCM(2, 516) = 516

GCD(2, 516) = ( 2 x 516 ) / 516

GCD(2, 516) = 1032 / 516

GCD(2, 516) = 2

GCD of 312, 626, 602, 516 is 2

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1. What is the GCD of 312, 626, 602, 516?

GCD of 312, 626, 602, 516 is 2

2. Where do I get the detailed procedure to find GCD of 312, 626, 602, 516?

You can find a detailed procedure to find GCD of 312, 626, 602, 516 on our page.

3. How to find GCD of 312, 626, 602, 516 on a calculator?

You can find the GCD of 312, 626, 602, 516 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.