GCD of 900, 323, 782, 851 Calculator

Given Input numbers are 900, 323, 782, 851

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 323

List of positive integer divisors of 323 that divides 323 without a remainder.

1, 17, 19, 323

Divisors of 782

List of positive integer divisors of 782 that divides 782 without a remainder.

1, 2, 17, 23, 34, 46, 391, 782

Divisors of 851

List of positive integer divisors of 851 that divides 851 without a remainder.

1, 23, 37, 851

Greatest Common Divisior

We found the divisors of 900, 323, 782, 851 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 900, 323, 782, 851 is 1.

Therefore, GCD of numbers 900, 323, 782, 851 is 1

Given Input Data is 900, 323, 782, 851

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 323 is 17 x 19

Prime Factorization of 782 is 2 x 17 x 23

Prime Factorization of 851 is 23 x 37

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, 323) = 290700

GCD(900, 323) = ( 900 x 323 ) / 290700

GCD(900, 323) = 290700 / 290700

GCD(900, 323) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 782

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

LCM(1, 782) = 782

GCD(1, 782) = ( 1 x 782 ) / 782

GCD(1, 782) = 782 / 782

GCD(1, 782) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 851

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

LCM(1, 851) = 851

GCD(1, 851) = ( 1 x 851 ) / 851

GCD(1, 851) = 851 / 851

GCD(1, 851) = 1

GCD of 900, 323, 782, 851 is 1

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1. What is the GCD of 900, 323, 782, 851?

GCD of 900, 323, 782, 851 is 1

2. Where do I get the detailed procedure to find GCD of 900, 323, 782, 851?

You can find a detailed procedure to find GCD of 900, 323, 782, 851 on our page.

3. How to find GCD of 900, 323, 782, 851 on a calculator?

You can find the GCD of 900, 323, 782, 851 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.