GCD of 164, 668, 50, 484 Calculator

Given Input numbers are 164, 668, 50, 484

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

Divisors of 164

List of positive integer divisors of 164 that divides 164 without a remainder.

1, 2, 4, 41, 82, 164

Divisors of 668

List of positive integer divisors of 668 that divides 668 without a remainder.

1, 2, 4, 167, 334, 668

Divisors of 50

List of positive integer divisors of 50 that divides 50 without a remainder.

1, 2, 5, 10, 25, 50

Divisors of 484

List of positive integer divisors of 484 that divides 484 without a remainder.

1, 2, 4, 11, 22, 44, 121, 242, 484

Greatest Common Divisior

We found the divisors of 164, 668, 50, 484 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 164, 668, 50, 484 is 2.

Therefore, GCD of numbers 164, 668, 50, 484 is 2

Given Input Data is 164, 668, 50, 484

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

Prime Factorization of 164 is 2 x 2 x 41

Prime Factorization of 668 is 2 x 2 x 167

Prime Factorization of 50 is 2 x 5 x 5

Prime Factorization of 484 is 2 x 2 x 11 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(164, 668) = 27388

GCD(164, 668) = ( 164 x 668 ) / 27388

GCD(164, 668) = 109552 / 27388

GCD(164, 668) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 50

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

LCM(4, 50) = 100

GCD(4, 50) = ( 4 x 50 ) / 100

GCD(4, 50) = 200 / 100

GCD(4, 50) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 484

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

LCM(2, 484) = 484

GCD(2, 484) = ( 2 x 484 ) / 484

GCD(2, 484) = 968 / 484

GCD(2, 484) = 2

GCD of 164, 668, 50, 484 is 2

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1. What is the GCD of 164, 668, 50, 484?

GCD of 164, 668, 50, 484 is 2

2. Where do I get the detailed procedure to find GCD of 164, 668, 50, 484?

You can find a detailed procedure to find GCD of 164, 668, 50, 484 on our page.

3. How to find GCD of 164, 668, 50, 484 on a calculator?

You can find the GCD of 164, 668, 50, 484 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.