GCD of 814, 866, 800, 156 Calculator

Given Input numbers are 814, 866, 800, 156

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

Divisors of 814

List of positive integer divisors of 814 that divides 814 without a remainder.

1, 2, 11, 22, 37, 74, 407, 814

Divisors of 866

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

1, 2, 433, 866

Divisors of 800

List of positive integer divisors of 800 that divides 800 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

Divisors of 156

List of positive integer divisors of 156 that divides 156 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156

Greatest Common Divisior

We found the divisors of 814, 866, 800, 156 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 814, 866, 800, 156 is 2.

Therefore, GCD of numbers 814, 866, 800, 156 is 2

Given Input Data is 814, 866, 800, 156

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

Prime Factorization of 814 is 2 x 11 x 37

Prime Factorization of 866 is 2 x 433

Prime Factorization of 800 is 2 x 2 x 2 x 2 x 2 x 5 x 5

Prime Factorization of 156 is 2 x 2 x 3 x 13

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(814, 866) = 352462

GCD(814, 866) = ( 814 x 866 ) / 352462

GCD(814, 866) = 704924 / 352462

GCD(814, 866) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 800

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

LCM(2, 800) = 800

GCD(2, 800) = ( 2 x 800 ) / 800

GCD(2, 800) = 1600 / 800

GCD(2, 800) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 156

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

LCM(2, 156) = 156

GCD(2, 156) = ( 2 x 156 ) / 156

GCD(2, 156) = 312 / 156

GCD(2, 156) = 2

GCD of 814, 866, 800, 156 is 2

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1. What is the GCD of 814, 866, 800, 156?

GCD of 814, 866, 800, 156 is 2

2. Where do I get the detailed procedure to find GCD of 814, 866, 800, 156?

You can find a detailed procedure to find GCD of 814, 866, 800, 156 on our page.

3. How to find GCD of 814, 866, 800, 156 on a calculator?

You can find the GCD of 814, 866, 800, 156 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.