GCD of 552, 650, 312 Calculator

Given Input numbers are 552, 650, 312

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

Divisors of 552

List of positive integer divisors of 552 that divides 552 without a remainder.

1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

Divisors of 650

List of positive integer divisors of 650 that divides 650 without a remainder.

1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650

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

Greatest Common Divisior

We found the divisors of 552, 650, 312 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 552, 650, 312 is 2.

Therefore, GCD of numbers 552, 650, 312 is 2

Given Input Data is 552, 650, 312

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

Prime Factorization of 552 is 2 x 2 x 2 x 3 x 23

Prime Factorization of 650 is 2 x 5 x 5 x 13

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

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(552, 650) = 179400

GCD(552, 650) = ( 552 x 650 ) / 179400

GCD(552, 650) = 358800 / 179400

GCD(552, 650) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 312

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

LCM(2, 312) = 312

GCD(2, 312) = ( 2 x 312 ) / 312

GCD(2, 312) = 624 / 312

GCD(2, 312) = 2

GCD of 552, 650, 312 is 2

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1. What is the GCD of 552, 650, 312?

GCD of 552, 650, 312 is 2

2. Where do I get the detailed procedure to find GCD of 552, 650, 312?

You can find a detailed procedure to find GCD of 552, 650, 312 on our page.

3. How to find GCD of 552, 650, 312 on a calculator?

You can find the GCD of 552, 650, 312 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.