GCD of 800, 416, 96, 584 Calculator

Given Input numbers are 800, 416, 96, 584

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

Divisors of 800

List of positive integer divisors of 800 that divides 800 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

Divisors of 416

List of positive integer divisors of 416 that divides 416 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

Divisors of 96

List of positive integer divisors of 96 that divides 96 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

Divisors of 584

List of positive integer divisors of 584 that divides 584 without a remainder.

1, 2, 4, 8, 73, 146, 292, 584

Greatest Common Divisior

We found the divisors of 800, 416, 96, 584 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 800, 416, 96, 584 is 8.

Therefore, GCD of numbers 800, 416, 96, 584 is 8

Given Input Data is 800, 416, 96, 584

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

Prime Factorization of 800 is 2 x 2 x 2 x 2 x 2 x 5 x 5

Prime Factorization of 416 is 2 x 2 x 2 x 2 x 2 x 13

Prime Factorization of 96 is 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 584 is 2 x 2 x 2 x 73

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(800, 416) = 10400

GCD(800, 416) = ( 800 x 416 ) / 10400

GCD(800, 416) = 332800 / 10400

GCD(800, 416) = 32

Step2:

Here we consider the GCD from the above i.e. 32 as first number and the next as 96

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

LCM(32, 96) = 96

GCD(32, 96) = ( 32 x 96 ) / 96

GCD(32, 96) = 3072 / 96

GCD(32, 96) = 32

Step3:

Here we consider the GCD from the above i.e. 32 as first number and the next as 584

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

LCM(32, 584) = 2336

GCD(32, 584) = ( 32 x 584 ) / 2336

GCD(32, 584) = 18688 / 2336

GCD(32, 584) = 8

GCD of 800, 416, 96, 584 is 8

Here are some samples of GCD of Numbers calculations.

• GCD of 626, 962, 88, 184
• GCD of 127, 613, 80, 563
• GCD of 248, 721, 95, 903
• GCD of 699, 264, 47, 216
• GCD of 632, 955, 96, 263

1. What is the GCD of 800, 416, 96, 584?

GCD of 800, 416, 96, 584 is 8

2. Where do I get the detailed procedure to find GCD of 800, 416, 96, 584?

You can find a detailed procedure to find GCD of 800, 416, 96, 584 on our page.

3. How to find GCD of 800, 416, 96, 584 on a calculator?

You can find the GCD of 800, 416, 96, 584 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.