GCD of 426, 180, 816, 268 Calculator

Given Input numbers are 426, 180, 816, 268

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

Divisors of 426

List of positive integer divisors of 426 that divides 426 without a remainder.

1, 2, 3, 6, 71, 142, 213, 426

Divisors of 180

List of positive integer divisors of 180 that divides 180 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Divisors of 816

List of positive integer divisors of 816 that divides 816 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

Divisors of 268

List of positive integer divisors of 268 that divides 268 without a remainder.

1, 2, 4, 67, 134, 268

Greatest Common Divisior

We found the divisors of 426, 180, 816, 268 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 426, 180, 816, 268 is 2.

Therefore, GCD of numbers 426, 180, 816, 268 is 2

Given Input Data is 426, 180, 816, 268

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

Prime Factorization of 426 is 2 x 3 x 71

Prime Factorization of 180 is 2 x 2 x 3 x 3 x 5

Prime Factorization of 816 is 2 x 2 x 2 x 2 x 3 x 17

Prime Factorization of 268 is 2 x 2 x 67

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(426, 180) = 12780

GCD(426, 180) = ( 426 x 180 ) / 12780

GCD(426, 180) = 76680 / 12780

GCD(426, 180) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 816

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

LCM(6, 816) = 816

GCD(6, 816) = ( 6 x 816 ) / 816

GCD(6, 816) = 4896 / 816

GCD(6, 816) = 6

Step3:

Here we consider the GCD from the above i.e. 6 as first number and the next as 268

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

LCM(6, 268) = 804

GCD(6, 268) = ( 6 x 268 ) / 804

GCD(6, 268) = 1608 / 804

GCD(6, 268) = 2

GCD of 426, 180, 816, 268 is 2

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1. What is the GCD of 426, 180, 816, 268?

GCD of 426, 180, 816, 268 is 2

2. Where do I get the detailed procedure to find GCD of 426, 180, 816, 268?

You can find a detailed procedure to find GCD of 426, 180, 816, 268 on our page.

3. How to find GCD of 426, 180, 816, 268 on a calculator?

You can find the GCD of 426, 180, 816, 268 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.