GCD of 552, 176, 666, 396 Calculator

Given Input numbers are 552, 176, 666, 396

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 176

List of positive integer divisors of 176 that divides 176 without a remainder.

1, 2, 4, 8, 11, 16, 22, 44, 88, 176

Divisors of 666

List of positive integer divisors of 666 that divides 666 without a remainder.

1, 2, 3, 6, 9, 18, 37, 74, 111, 222, 333, 666

Divisors of 396

List of positive integer divisors of 396 that divides 396 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

Greatest Common Divisior

We found the divisors of 552, 176, 666, 396 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 552, 176, 666, 396 is 2.

Therefore, GCD of numbers 552, 176, 666, 396 is 2

Given Input Data is 552, 176, 666, 396

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 176 is 2 x 2 x 2 x 2 x 11

Prime Factorization of 666 is 2 x 3 x 3 x 37

Prime Factorization of 396 is 2 x 2 x 3 x 3 x 11

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, 176) = 12144

GCD(552, 176) = ( 552 x 176 ) / 12144

GCD(552, 176) = 97152 / 12144

GCD(552, 176) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 666

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

LCM(8, 666) = 2664

GCD(8, 666) = ( 8 x 666 ) / 2664

GCD(8, 666) = 5328 / 2664

GCD(8, 666) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 396

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

LCM(2, 396) = 396

GCD(2, 396) = ( 2 x 396 ) / 396

GCD(2, 396) = 792 / 396

GCD(2, 396) = 2

GCD of 552, 176, 666, 396 is 2

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1. What is the GCD of 552, 176, 666, 396?

GCD of 552, 176, 666, 396 is 2

2. Where do I get the detailed procedure to find GCD of 552, 176, 666, 396?

You can find a detailed procedure to find GCD of 552, 176, 666, 396 on our page.

3. How to find GCD of 552, 176, 666, 396 on a calculator?

You can find the GCD of 552, 176, 666, 396 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.