GCD of 208, 168, 90, 872 Calculator

Given Input numbers are 208, 168, 90, 872

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

Divisors of 208

List of positive integer divisors of 208 that divides 208 without a remainder.

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

Divisors of 168

List of positive integer divisors of 168 that divides 168 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

Divisors of 90

List of positive integer divisors of 90 that divides 90 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

Divisors of 872

List of positive integer divisors of 872 that divides 872 without a remainder.

1, 2, 4, 8, 109, 218, 436, 872

Greatest Common Divisior

We found the divisors of 208, 168, 90, 872 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 208, 168, 90, 872 is 2.

Therefore, GCD of numbers 208, 168, 90, 872 is 2

Given Input Data is 208, 168, 90, 872

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

Prime Factorization of 208 is 2 x 2 x 2 x 2 x 13

Prime Factorization of 168 is 2 x 2 x 2 x 3 x 7

Prime Factorization of 90 is 2 x 3 x 3 x 5

Prime Factorization of 872 is 2 x 2 x 2 x 109

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(208, 168) = 4368

GCD(208, 168) = ( 208 x 168 ) / 4368

GCD(208, 168) = 34944 / 4368

GCD(208, 168) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 90

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

LCM(8, 90) = 360

GCD(8, 90) = ( 8 x 90 ) / 360

GCD(8, 90) = 720 / 360

GCD(8, 90) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 872

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

LCM(2, 872) = 872

GCD(2, 872) = ( 2 x 872 ) / 872

GCD(2, 872) = 1744 / 872

GCD(2, 872) = 2

GCD of 208, 168, 90, 872 is 2

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1. What is the GCD of 208, 168, 90, 872?

GCD of 208, 168, 90, 872 is 2

2. Where do I get the detailed procedure to find GCD of 208, 168, 90, 872?

You can find a detailed procedure to find GCD of 208, 168, 90, 872 on our page.

3. How to find GCD of 208, 168, 90, 872 on a calculator?

You can find the GCD of 208, 168, 90, 872 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.