GCD of 390, 308, 552 Calculator

Given Input numbers are 390, 308, 552

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

Divisors of 390

List of positive integer divisors of 390 that divides 390 without a remainder.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

Divisors of 308

List of positive integer divisors of 308 that divides 308 without a remainder.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

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

Greatest Common Divisior

We found the divisors of 390, 308, 552 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 390, 308, 552 is 2.

Therefore, GCD of numbers 390, 308, 552 is 2

Given Input Data is 390, 308, 552

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

Prime Factorization of 390 is 2 x 3 x 5 x 13

Prime Factorization of 308 is 2 x 2 x 7 x 11

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

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(390, 308) = 60060

GCD(390, 308) = ( 390 x 308 ) / 60060

GCD(390, 308) = 120120 / 60060

GCD(390, 308) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 552

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

LCM(2, 552) = 552

GCD(2, 552) = ( 2 x 552 ) / 552

GCD(2, 552) = 1104 / 552

GCD(2, 552) = 2

GCD of 390, 308, 552 is 2

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1. What is the GCD of 390, 308, 552?

GCD of 390, 308, 552 is 2

2. Where do I get the detailed procedure to find GCD of 390, 308, 552?

You can find a detailed procedure to find GCD of 390, 308, 552 on our page.

3. How to find GCD of 390, 308, 552 on a calculator?

You can find the GCD of 390, 308, 552 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.