GCD of 480, 106, 822, 578 Calculator

Given Input numbers are 480, 106, 822, 578

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 106

List of positive integer divisors of 106 that divides 106 without a remainder.

1, 2, 53, 106

Divisors of 822

List of positive integer divisors of 822 that divides 822 without a remainder.

1, 2, 3, 6, 137, 274, 411, 822

Divisors of 578

List of positive integer divisors of 578 that divides 578 without a remainder.

1, 2, 17, 34, 289, 578

Greatest Common Divisior

We found the divisors of 480, 106, 822, 578 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 480, 106, 822, 578 is 2.

Therefore, GCD of numbers 480, 106, 822, 578 is 2

Given Input Data is 480, 106, 822, 578

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 106 is 2 x 53

Prime Factorization of 822 is 2 x 3 x 137

Prime Factorization of 578 is 2 x 17 x 17

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, 106) = 25440

GCD(480, 106) = ( 480 x 106 ) / 25440

GCD(480, 106) = 50880 / 25440

GCD(480, 106) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 822

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

LCM(2, 822) = 822

GCD(2, 822) = ( 2 x 822 ) / 822

GCD(2, 822) = 1644 / 822

GCD(2, 822) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 578

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

LCM(2, 578) = 578

GCD(2, 578) = ( 2 x 578 ) / 578

GCD(2, 578) = 1156 / 578

GCD(2, 578) = 2

GCD of 480, 106, 822, 578 is 2

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1. What is the GCD of 480, 106, 822, 578?

GCD of 480, 106, 822, 578 is 2

2. Where do I get the detailed procedure to find GCD of 480, 106, 822, 578?

You can find a detailed procedure to find GCD of 480, 106, 822, 578 on our page.

3. How to find GCD of 480, 106, 822, 578 on a calculator?

You can find the GCD of 480, 106, 822, 578 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.