GCD of 480, 868, 22, 684 Calculator

Given Input numbers are 480, 868, 22, 684

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

Divisors of 480

List of positive integer divisors of 480 that divides 480 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

Divisors of 868

List of positive integer divisors of 868 that divides 868 without a remainder.

1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868

Divisors of 22

List of positive integer divisors of 22 that divides 22 without a remainder.

1, 2, 11, 22

Divisors of 684

List of positive integer divisors of 684 that divides 684 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

Greatest Common Divisior

We found the divisors of 480, 868, 22, 684 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 480, 868, 22, 684 is 2.

Therefore, GCD of numbers 480, 868, 22, 684 is 2

Given Input Data is 480, 868, 22, 684

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

Prime Factorization of 480 is 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 868 is 2 x 2 x 7 x 31

Prime Factorization of 22 is 2 x 11

Prime Factorization of 684 is 2 x 2 x 3 x 3 x 19

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(480, 868) = 104160

GCD(480, 868) = ( 480 x 868 ) / 104160

GCD(480, 868) = 416640 / 104160

GCD(480, 868) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 22

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

LCM(4, 22) = 44

GCD(4, 22) = ( 4 x 22 ) / 44

GCD(4, 22) = 88 / 44

GCD(4, 22) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 684

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

LCM(2, 684) = 684

GCD(2, 684) = ( 2 x 684 ) / 684

GCD(2, 684) = 1368 / 684

GCD(2, 684) = 2

GCD of 480, 868, 22, 684 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 983, 196, 75, 999
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• GCD of 910, 188, 22, 645

1. What is the GCD of 480, 868, 22, 684?

GCD of 480, 868, 22, 684 is 2

2. Where do I get the detailed procedure to find GCD of 480, 868, 22, 684?

You can find a detailed procedure to find GCD of 480, 868, 22, 684 on our page.

3. How to find GCD of 480, 868, 22, 684 on a calculator?

You can find the GCD of 480, 868, 22, 684 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.