GCD of 864, 266, 814, 164 Calculator

Given Input numbers are 864, 266, 814, 164

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

Divisors of 864

List of positive integer divisors of 864 that divides 864 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

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 814

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

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

Divisors of 164

List of positive integer divisors of 164 that divides 164 without a remainder.

1, 2, 4, 41, 82, 164

Greatest Common Divisior

We found the divisors of 864, 266, 814, 164 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 864, 266, 814, 164 is 2.

Therefore, GCD of numbers 864, 266, 814, 164 is 2

Given Input Data is 864, 266, 814, 164

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

Prime Factorization of 864 is 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime Factorization of 266 is 2 x 7 x 19

Prime Factorization of 814 is 2 x 11 x 37

Prime Factorization of 164 is 2 x 2 x 41

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(864, 266) = 114912

GCD(864, 266) = ( 864 x 266 ) / 114912

GCD(864, 266) = 229824 / 114912

GCD(864, 266) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 814

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

LCM(2, 814) = 814

GCD(2, 814) = ( 2 x 814 ) / 814

GCD(2, 814) = 1628 / 814

GCD(2, 814) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 164

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

LCM(2, 164) = 164

GCD(2, 164) = ( 2 x 164 ) / 164

GCD(2, 164) = 328 / 164

GCD(2, 164) = 2

GCD of 864, 266, 814, 164 is 2

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1. What is the GCD of 864, 266, 814, 164?

GCD of 864, 266, 814, 164 is 2

2. Where do I get the detailed procedure to find GCD of 864, 266, 814, 164?

You can find a detailed procedure to find GCD of 864, 266, 814, 164 on our page.

3. How to find GCD of 864, 266, 814, 164 on a calculator?

You can find the GCD of 864, 266, 814, 164 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.