GCD of 230, 266, 90, 878 Calculator

Given Input numbers are 230, 266, 90, 878

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

Divisors of 230

List of positive integer divisors of 230 that divides 230 without a remainder.

1, 2, 5, 10, 23, 46, 115, 230

Divisors of 266

List of positive integer divisors of 266 that divides 266 without a remainder.

1, 2, 7, 14, 19, 38, 133, 266

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 878

List of positive integer divisors of 878 that divides 878 without a remainder.

1, 2, 439, 878

Greatest Common Divisior

We found the divisors of 230, 266, 90, 878 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 230, 266, 90, 878 is 2.

Therefore, GCD of numbers 230, 266, 90, 878 is 2

Given Input Data is 230, 266, 90, 878

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

Prime Factorization of 230 is 2 x 5 x 23

Prime Factorization of 266 is 2 x 7 x 19

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

Prime Factorization of 878 is 2 x 439

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(230, 266) = 30590

GCD(230, 266) = ( 230 x 266 ) / 30590

GCD(230, 266) = 61180 / 30590

GCD(230, 266) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 90

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

LCM(2, 90) = 90

GCD(2, 90) = ( 2 x 90 ) / 90

GCD(2, 90) = 180 / 90

GCD(2, 90) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 878

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

LCM(2, 878) = 878

GCD(2, 878) = ( 2 x 878 ) / 878

GCD(2, 878) = 1756 / 878

GCD(2, 878) = 2

GCD of 230, 266, 90, 878 is 2

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1. What is the GCD of 230, 266, 90, 878?

GCD of 230, 266, 90, 878 is 2

2. Where do I get the detailed procedure to find GCD of 230, 266, 90, 878?

You can find a detailed procedure to find GCD of 230, 266, 90, 878 on our page.

3. How to find GCD of 230, 266, 90, 878 on a calculator?

You can find the GCD of 230, 266, 90, 878 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.