GCD of 201, 999, 45, 273 Calculator

Given Input numbers are 201, 999, 45, 273

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

Divisors of 201

List of positive integer divisors of 201 that divides 201 without a remainder.

1, 3, 67, 201

Divisors of 999

List of positive integer divisors of 999 that divides 999 without a remainder.

1, 3, 9, 27, 37, 111, 333, 999

Divisors of 45

List of positive integer divisors of 45 that divides 45 without a remainder.

1, 3, 5, 9, 15, 45

Divisors of 273

List of positive integer divisors of 273 that divides 273 without a remainder.

1, 3, 7, 13, 21, 39, 91, 273

Greatest Common Divisior

We found the divisors of 201, 999, 45, 273 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 201, 999, 45, 273 is 3.

Therefore, GCD of numbers 201, 999, 45, 273 is 3

Given Input Data is 201, 999, 45, 273

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

Prime Factorization of 201 is 3 x 67

Prime Factorization of 999 is 3 x 3 x 3 x 37

Prime Factorization of 45 is 3 x 3 x 5

Prime Factorization of 273 is 3 x 7 x 13

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(201, 999) = 66933

GCD(201, 999) = ( 201 x 999 ) / 66933

GCD(201, 999) = 200799 / 66933

GCD(201, 999) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 45

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

LCM(3, 45) = 45

GCD(3, 45) = ( 3 x 45 ) / 45

GCD(3, 45) = 135 / 45

GCD(3, 45) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 273

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

LCM(3, 273) = 273

GCD(3, 273) = ( 3 x 273 ) / 273

GCD(3, 273) = 819 / 273

GCD(3, 273) = 3

GCD of 201, 999, 45, 273 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 239, 732, 72, 853
• GCD of 546, 828, 70, 168
• GCD of 249, 931, 54, 304
• GCD of 554, 371, 45, 644
• GCD of 664, 685, 23, 879

1. What is the GCD of 201, 999, 45, 273?

GCD of 201, 999, 45, 273 is 3

2. Where do I get the detailed procedure to find GCD of 201, 999, 45, 273?

You can find a detailed procedure to find GCD of 201, 999, 45, 273 on our page.

3. How to find GCD of 201, 999, 45, 273 on a calculator?

You can find the GCD of 201, 999, 45, 273 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.