GCD of 828, 842, 900, 180 Calculator

Given Input numbers are 828, 842, 900, 180

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

Divisors of 828

List of positive integer divisors of 828 that divides 828 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

Divisors of 842

List of positive integer divisors of 842 that divides 842 without a remainder.

1, 2, 421, 842

Divisors of 900

List of positive integer divisors of 900 that divides 900 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

Divisors of 180

List of positive integer divisors of 180 that divides 180 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Greatest Common Divisior

We found the divisors of 828, 842, 900, 180 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 828, 842, 900, 180 is 2.

Therefore, GCD of numbers 828, 842, 900, 180 is 2

Given Input Data is 828, 842, 900, 180

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

Prime Factorization of 828 is 2 x 2 x 3 x 3 x 23

Prime Factorization of 842 is 2 x 421

Prime Factorization of 900 is 2 x 2 x 3 x 3 x 5 x 5

Prime Factorization of 180 is 2 x 2 x 3 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(828, 842) = 348588

GCD(828, 842) = ( 828 x 842 ) / 348588

GCD(828, 842) = 697176 / 348588

GCD(828, 842) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 900

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

LCM(2, 900) = 900

GCD(2, 900) = ( 2 x 900 ) / 900

GCD(2, 900) = 1800 / 900

GCD(2, 900) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 180

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

LCM(2, 180) = 180

GCD(2, 180) = ( 2 x 180 ) / 180

GCD(2, 180) = 360 / 180

GCD(2, 180) = 2

GCD of 828, 842, 900, 180 is 2

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1. What is the GCD of 828, 842, 900, 180?

GCD of 828, 842, 900, 180 is 2

2. Where do I get the detailed procedure to find GCD of 828, 842, 900, 180?

You can find a detailed procedure to find GCD of 828, 842, 900, 180 on our page.

3. How to find GCD of 828, 842, 900, 180 on a calculator?

You can find the GCD of 828, 842, 900, 180 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.