GCD of 312, 652, 52, 918 Calculator

Given Input numbers are 312, 652, 52, 918

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 652

List of positive integer divisors of 652 that divides 652 without a remainder.

1, 2, 4, 163, 326, 652

Divisors of 52

List of positive integer divisors of 52 that divides 52 without a remainder.

1, 2, 4, 13, 26, 52

Divisors of 918

List of positive integer divisors of 918 that divides 918 without a remainder.

1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

Greatest Common Divisior

We found the divisors of 312, 652, 52, 918 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 312, 652, 52, 918 is 2.

Therefore, GCD of numbers 312, 652, 52, 918 is 2

Given Input Data is 312, 652, 52, 918

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 652 is 2 x 2 x 163

Prime Factorization of 52 is 2 x 2 x 13

Prime Factorization of 918 is 2 x 3 x 3 x 3 x 17

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, 652) = 50856

GCD(312, 652) = ( 312 x 652 ) / 50856

GCD(312, 652) = 203424 / 50856

GCD(312, 652) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 52

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

LCM(4, 52) = 52

GCD(4, 52) = ( 4 x 52 ) / 52

GCD(4, 52) = 208 / 52

GCD(4, 52) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 918

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

LCM(4, 918) = 1836

GCD(4, 918) = ( 4 x 918 ) / 1836

GCD(4, 918) = 3672 / 1836

GCD(4, 918) = 2

GCD of 312, 652, 52, 918 is 2

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1. What is the GCD of 312, 652, 52, 918?

GCD of 312, 652, 52, 918 is 2

2. Where do I get the detailed procedure to find GCD of 312, 652, 52, 918?

You can find a detailed procedure to find GCD of 312, 652, 52, 918 on our page.

3. How to find GCD of 312, 652, 52, 918 on a calculator?

You can find the GCD of 312, 652, 52, 918 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.