GCD of 900, 121, 339, 822 Calculator

Given Input numbers are 900, 121, 339, 822

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

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 121

List of positive integer divisors of 121 that divides 121 without a remainder.

1, 11, 121

Divisors of 339

List of positive integer divisors of 339 that divides 339 without a remainder.

1, 3, 113, 339

Divisors of 822

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

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

Greatest Common Divisior

We found the divisors of 900, 121, 339, 822 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 900, 121, 339, 822 is 1.

Therefore, GCD of numbers 900, 121, 339, 822 is 1

Given Input Data is 900, 121, 339, 822

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

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

Prime Factorization of 121 is 11 x 11

Prime Factorization of 339 is 3 x 113

Prime Factorization of 822 is 2 x 3 x 137

The above numbers do not have any common prime factor. So GCD is 1

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(900, 121) = 108900

GCD(900, 121) = ( 900 x 121 ) / 108900

GCD(900, 121) = 108900 / 108900

GCD(900, 121) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 339

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

LCM(1, 339) = 339

GCD(1, 339) = ( 1 x 339 ) / 339

GCD(1, 339) = 339 / 339

GCD(1, 339) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 822

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

LCM(1, 822) = 822

GCD(1, 822) = ( 1 x 822 ) / 822

GCD(1, 822) = 822 / 822

GCD(1, 822) = 1

GCD of 900, 121, 339, 822 is 1

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• GCD of 512, 348, 129, 127
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1. What is the GCD of 900, 121, 339, 822?

GCD of 900, 121, 339, 822 is 1

2. Where do I get the detailed procedure to find GCD of 900, 121, 339, 822?

You can find a detailed procedure to find GCD of 900, 121, 339, 822 on our page.

3. How to find GCD of 900, 121, 339, 822 on a calculator?

You can find the GCD of 900, 121, 339, 822 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.