GCD of 900, 313, 468, 162 Calculator

Given Input numbers are 900, 313, 468, 162

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 313

List of positive integer divisors of 313 that divides 313 without a remainder.

1, 313

Divisors of 468

List of positive integer divisors of 468 that divides 468 without a remainder.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

Divisors of 162

List of positive integer divisors of 162 that divides 162 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162

Greatest Common Divisior

We found the divisors of 900, 313, 468, 162 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 900, 313, 468, 162 is 1.

Therefore, GCD of numbers 900, 313, 468, 162 is 1

Given Input Data is 900, 313, 468, 162

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 313 is 313

Prime Factorization of 468 is 2 x 2 x 3 x 3 x 13

Prime Factorization of 162 is 2 x 3 x 3 x 3 x 3

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, 313) = 281700

GCD(900, 313) = ( 900 x 313 ) / 281700

GCD(900, 313) = 281700 / 281700

GCD(900, 313) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 468

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

LCM(1, 468) = 468

GCD(1, 468) = ( 1 x 468 ) / 468

GCD(1, 468) = 468 / 468

GCD(1, 468) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 162

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

LCM(1, 162) = 162

GCD(1, 162) = ( 1 x 162 ) / 162

GCD(1, 162) = 162 / 162

GCD(1, 162) = 1

GCD of 900, 313, 468, 162 is 1

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1. What is the GCD of 900, 313, 468, 162?

GCD of 900, 313, 468, 162 is 1

2. Where do I get the detailed procedure to find GCD of 900, 313, 468, 162?

You can find a detailed procedure to find GCD of 900, 313, 468, 162 on our page.

3. How to find GCD of 900, 313, 468, 162 on a calculator?

You can find the GCD of 900, 313, 468, 162 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.