GCD of 864, 624, 80, 296 Calculator

Given Input numbers are 864, 624, 80, 296

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 624

List of positive integer divisors of 624 that divides 624 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

Divisors of 80

List of positive integer divisors of 80 that divides 80 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80

Divisors of 296

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

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

Greatest Common Divisior

We found the divisors of 864, 624, 80, 296 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 864, 624, 80, 296 is 8.

Therefore, GCD of numbers 864, 624, 80, 296 is 8

Given Input Data is 864, 624, 80, 296

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 624 is 2 x 2 x 2 x 2 x 3 x 13

Prime Factorization of 80 is 2 x 2 x 2 x 2 x 5

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

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, 624) = 11232

GCD(864, 624) = ( 864 x 624 ) / 11232

GCD(864, 624) = 539136 / 11232

GCD(864, 624) = 48

Step2:

Here we consider the GCD from the above i.e. 48 as first number and the next as 80

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

LCM(48, 80) = 240

GCD(48, 80) = ( 48 x 80 ) / 240

GCD(48, 80) = 3840 / 240

GCD(48, 80) = 16

Step3:

Here we consider the GCD from the above i.e. 16 as first number and the next as 296

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

LCM(16, 296) = 592

GCD(16, 296) = ( 16 x 296 ) / 592

GCD(16, 296) = 4736 / 592

GCD(16, 296) = 8

GCD of 864, 624, 80, 296 is 8

Here are some samples of GCD of Numbers calculations.

• GCD of 174, 355, 85, 564
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• GCD of 709, 460, 77, 646

1. What is the GCD of 864, 624, 80, 296?

GCD of 864, 624, 80, 296 is 8

2. Where do I get the detailed procedure to find GCD of 864, 624, 80, 296?

You can find a detailed procedure to find GCD of 864, 624, 80, 296 on our page.

3. How to find GCD of 864, 624, 80, 296 on a calculator?

You can find the GCD of 864, 624, 80, 296 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.