GCD of 132, 266, 864 Calculator

Given Input numbers are 132, 266, 864

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

Divisors of 132

List of positive integer divisors of 132 that divides 132 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

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 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

Greatest Common Divisior

We found the divisors of 132, 266, 864 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 132, 266, 864 is 2.

Therefore, GCD of numbers 132, 266, 864 is 2

Given Input Data is 132, 266, 864

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

Prime Factorization of 132 is 2 x 2 x 3 x 11

Prime Factorization of 266 is 2 x 7 x 19

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

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(132, 266) = 17556

GCD(132, 266) = ( 132 x 266 ) / 17556

GCD(132, 266) = 35112 / 17556

GCD(132, 266) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 864

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

LCM(2, 864) = 864

GCD(2, 864) = ( 2 x 864 ) / 864

GCD(2, 864) = 1728 / 864

GCD(2, 864) = 2

GCD of 132, 266, 864 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 385, 256, 981
• GCD of 391, 492, 127
• GCD of 917, 838, 274
• GCD of 795, 115, 730
• GCD of 242, 165, 381

1. What is the GCD of 132, 266, 864?

GCD of 132, 266, 864 is 2

2. Where do I get the detailed procedure to find GCD of 132, 266, 864?

You can find a detailed procedure to find GCD of 132, 266, 864 on our page.

3. How to find GCD of 132, 266, 864 on a calculator?

You can find the GCD of 132, 266, 864 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.