GCD of 866, 180, 162, 886 Calculator

Given Input numbers are 866, 180, 162, 886

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

Divisors of 866

List of positive integer divisors of 866 that divides 866 without a remainder.

1, 2, 433, 866

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 162

List of positive integer divisors of 162 that divides 162 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162

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 866, 180, 162, 886 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 866, 180, 162, 886 is 2.

Therefore, GCD of numbers 866, 180, 162, 886 is 2

Given Input Data is 866, 180, 162, 886

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

Prime Factorization of 866 is 2 x 433

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

Prime Factorization of 162 is 2 x 3 x 3 x 3 x 3

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(866, 180) = 77940

GCD(866, 180) = ( 866 x 180 ) / 77940

GCD(866, 180) = 155880 / 77940

GCD(866, 180) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 162

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

LCM(2, 162) = 162

GCD(2, 162) = ( 2 x 162 ) / 162

GCD(2, 162) = 324 / 162

GCD(2, 162) = 2

Step3:

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 866, 180, 162, 886 is 2

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1. What is the GCD of 866, 180, 162, 886?

GCD of 866, 180, 162, 886 is 2

2. Where do I get the detailed procedure to find GCD of 866, 180, 162, 886?

You can find a detailed procedure to find GCD of 866, 180, 162, 886 on our page.

3. How to find GCD of 866, 180, 162, 886 on a calculator?

You can find the GCD of 866, 180, 162, 886 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.