GCD of 479, 900, 365, 892 Calculator

Given Input numbers are 479, 900, 365, 892

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

Divisors of 479

List of positive integer divisors of 479 that divides 479 without a remainder.

1, 479

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 365

List of positive integer divisors of 365 that divides 365 without a remainder.

1, 5, 73, 365

Divisors of 892

List of positive integer divisors of 892 that divides 892 without a remainder.

1, 2, 4, 223, 446, 892

Greatest Common Divisior

We found the divisors of 479, 900, 365, 892 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 479, 900, 365, 892 is 1.

Therefore, GCD of numbers 479, 900, 365, 892 is 1

Given Input Data is 479, 900, 365, 892

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

Prime Factorization of 479 is 479

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

Prime Factorization of 365 is 5 x 73

Prime Factorization of 892 is 2 x 2 x 223

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(479, 900) = 431100

GCD(479, 900) = ( 479 x 900 ) / 431100

GCD(479, 900) = 431100 / 431100

GCD(479, 900) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 365

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

LCM(1, 365) = 365

GCD(1, 365) = ( 1 x 365 ) / 365

GCD(1, 365) = 365 / 365

GCD(1, 365) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 892

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

LCM(1, 892) = 892

GCD(1, 892) = ( 1 x 892 ) / 892

GCD(1, 892) = 892 / 892

GCD(1, 892) = 1

GCD of 479, 900, 365, 892 is 1

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1. What is the GCD of 479, 900, 365, 892?

GCD of 479, 900, 365, 892 is 1

2. Where do I get the detailed procedure to find GCD of 479, 900, 365, 892?

You can find a detailed procedure to find GCD of 479, 900, 365, 892 on our page.

3. How to find GCD of 479, 900, 365, 892 on a calculator?

You can find the GCD of 479, 900, 365, 892 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.