GCD of 864, 296, 880 Calculator

Given Input numbers are 864, 296, 880

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 296

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

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

Divisors of 880

List of positive integer divisors of 880 that divides 880 without a remainder.

1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880

Greatest Common Divisior

We found the divisors of 864, 296, 880 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 864, 296, 880 is 8.

Therefore, GCD of numbers 864, 296, 880 is 8

Given Input Data is 864, 296, 880

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 296 is 2 x 2 x 2 x 37

Prime Factorization of 880 is 2 x 2 x 2 x 2 x 5 x 11

Highest common occurrences in the given inputs are 2³

Multiplying them we get the GCD as 8

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, 296) = 31968

GCD(864, 296) = ( 864 x 296 ) / 31968

GCD(864, 296) = 255744 / 31968

GCD(864, 296) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 880

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

LCM(8, 880) = 880

GCD(8, 880) = ( 8 x 880 ) / 880

GCD(8, 880) = 7040 / 880

GCD(8, 880) = 8

GCD of 864, 296, 880 is 8

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1. What is the GCD of 864, 296, 880?

GCD of 864, 296, 880 is 8

2. Where do I get the detailed procedure to find GCD of 864, 296, 880?

You can find a detailed procedure to find GCD of 864, 296, 880 on our page.

3. How to find GCD of 864, 296, 880 on a calculator?

You can find the GCD of 864, 296, 880 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.