GCD of 220, 258, 886 Calculator

Given Input numbers are 220, 258, 886

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

Divisors of 220

List of positive integer divisors of 220 that divides 220 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

Divisors of 258

List of positive integer divisors of 258 that divides 258 without a remainder.

1, 2, 3, 6, 43, 86, 129, 258

Divisors of 886

List of positive integer divisors of 886 that divides 886 without a remainder.

1, 2, 443, 886

Greatest Common Divisior

We found the divisors of 220, 258, 886 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 220, 258, 886 is 2.

Therefore, GCD of numbers 220, 258, 886 is 2

Given Input Data is 220, 258, 886

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

Prime Factorization of 220 is 2 x 2 x 5 x 11

Prime Factorization of 258 is 2 x 3 x 43

Prime Factorization of 886 is 2 x 443

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(220, 258) = 28380

GCD(220, 258) = ( 220 x 258 ) / 28380

GCD(220, 258) = 56760 / 28380

GCD(220, 258) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 886

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

LCM(2, 886) = 886

GCD(2, 886) = ( 2 x 886 ) / 886

GCD(2, 886) = 1772 / 886

GCD(2, 886) = 2

GCD of 220, 258, 886 is 2

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1. What is the GCD of 220, 258, 886?

GCD of 220, 258, 886 is 2

2. Where do I get the detailed procedure to find GCD of 220, 258, 886?

You can find a detailed procedure to find GCD of 220, 258, 886 on our page.

3. How to find GCD of 220, 258, 886 on a calculator?

You can find the GCD of 220, 258, 886 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.