GCD of 818, 856, 920, 480 Calculator

Given Input numbers are 818, 856, 920, 480

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

Divisors of 818

List of positive integer divisors of 818 that divides 818 without a remainder.

1, 2, 409, 818

Divisors of 856

List of positive integer divisors of 856 that divides 856 without a remainder.

1, 2, 4, 8, 107, 214, 428, 856

Divisors of 920

List of positive integer divisors of 920 that divides 920 without a remainder.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

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

Greatest Common Divisior

We found the divisors of 818, 856, 920, 480 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 818, 856, 920, 480 is 2.

Therefore, GCD of numbers 818, 856, 920, 480 is 2

Given Input Data is 818, 856, 920, 480

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

Prime Factorization of 818 is 2 x 409

Prime Factorization of 856 is 2 x 2 x 2 x 107

Prime Factorization of 920 is 2 x 2 x 2 x 5 x 23

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

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(818, 856) = 350104

GCD(818, 856) = ( 818 x 856 ) / 350104

GCD(818, 856) = 700208 / 350104

GCD(818, 856) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 920

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

LCM(2, 920) = 920

GCD(2, 920) = ( 2 x 920 ) / 920

GCD(2, 920) = 1840 / 920

GCD(2, 920) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 480

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

LCM(2, 480) = 480

GCD(2, 480) = ( 2 x 480 ) / 480

GCD(2, 480) = 960 / 480

GCD(2, 480) = 2

GCD of 818, 856, 920, 480 is 2

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1. What is the GCD of 818, 856, 920, 480?

GCD of 818, 856, 920, 480 is 2

2. Where do I get the detailed procedure to find GCD of 818, 856, 920, 480?

You can find a detailed procedure to find GCD of 818, 856, 920, 480 on our page.

3. How to find GCD of 818, 856, 920, 480 on a calculator?

You can find the GCD of 818, 856, 920, 480 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.