GCD of 296, 866, 360 Calculator

Given Input numbers are 296, 866, 360

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

Divisors of 296

List of positive integer divisors of 296 that divides 296 without a remainder.

1, 2, 4, 8, 37, 74, 148, 296

Divisors of 866

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

1, 2, 433, 866

Divisors of 360

List of positive integer divisors of 360 that divides 360 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Greatest Common Divisior

We found the divisors of 296, 866, 360 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 296, 866, 360 is 2.

Therefore, GCD of numbers 296, 866, 360 is 2

Given Input Data is 296, 866, 360

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

Prime Factorization of 296 is 2 x 2 x 2 x 37

Prime Factorization of 866 is 2 x 433

Prime Factorization of 360 is 2 x 2 x 2 x 3 x 3 x 5

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(296, 866) = 128168

GCD(296, 866) = ( 296 x 866 ) / 128168

GCD(296, 866) = 256336 / 128168

GCD(296, 866) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 360

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

LCM(2, 360) = 360

GCD(2, 360) = ( 2 x 360 ) / 360

GCD(2, 360) = 720 / 360

GCD(2, 360) = 2

GCD of 296, 866, 360 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 331, 741, 753
• GCD of 727, 675, 674
• GCD of 553, 975, 900
• GCD of 947, 421, 104
• GCD of 896, 437, 155

1. What is the GCD of 296, 866, 360?

GCD of 296, 866, 360 is 2

2. Where do I get the detailed procedure to find GCD of 296, 866, 360?

You can find a detailed procedure to find GCD of 296, 866, 360 on our page.

3. How to find GCD of 296, 866, 360 on a calculator?

You can find the GCD of 296, 866, 360 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.