GCD of 416, 328, 552 Calculator

Given Input numbers are 416, 328, 552

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

Divisors of 416

List of positive integer divisors of 416 that divides 416 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

Divisors of 328

List of positive integer divisors of 328 that divides 328 without a remainder.

1, 2, 4, 8, 41, 82, 164, 328

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 416, 328, 552 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 416, 328, 552 is 8.

Therefore, GCD of numbers 416, 328, 552 is 8

Given Input Data is 416, 328, 552

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

Prime Factorization of 416 is 2 x 2 x 2 x 2 x 2 x 13

Prime Factorization of 328 is 2 x 2 x 2 x 41

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

Highest common occurrences in the given inputs are 2³

Multiplying them we get the GCD as 8

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(416, 328) = 17056

GCD(416, 328) = ( 416 x 328 ) / 17056

GCD(416, 328) = 136448 / 17056

GCD(416, 328) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 552

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

LCM(8, 552) = 552

GCD(8, 552) = ( 8 x 552 ) / 552

GCD(8, 552) = 4416 / 552

GCD(8, 552) = 8

GCD of 416, 328, 552 is 8

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1. What is the GCD of 416, 328, 552?

GCD of 416, 328, 552 is 8

2. Where do I get the detailed procedure to find GCD of 416, 328, 552?

You can find a detailed procedure to find GCD of 416, 328, 552 on our page.

3. How to find GCD of 416, 328, 552 on a calculator?

You can find the GCD of 416, 328, 552 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.