GCD of 273, 225, 69, 649 Calculator

Given Input numbers are 273, 225, 69, 649

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

Divisors of 273

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

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

Divisors of 225

List of positive integer divisors of 225 that divides 225 without a remainder.

1, 3, 5, 9, 15, 25, 45, 75, 225

Divisors of 69

List of positive integer divisors of 69 that divides 69 without a remainder.

1, 3, 23, 69

Divisors of 649

List of positive integer divisors of 649 that divides 649 without a remainder.

1, 11, 59, 649

Greatest Common Divisior

We found the divisors of 273, 225, 69, 649 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 273, 225, 69, 649 is 1.

Therefore, GCD of numbers 273, 225, 69, 649 is 1

Given Input Data is 273, 225, 69, 649

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

Prime Factorization of 273 is 3 x 7 x 13

Prime Factorization of 225 is 3 x 3 x 5 x 5

Prime Factorization of 69 is 3 x 23

Prime Factorization of 649 is 11 x 59

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(273, 225) = 20475

GCD(273, 225) = ( 273 x 225 ) / 20475

GCD(273, 225) = 61425 / 20475

GCD(273, 225) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 69

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

LCM(3, 69) = 69

GCD(3, 69) = ( 3 x 69 ) / 69

GCD(3, 69) = 207 / 69

GCD(3, 69) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 649

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

LCM(3, 649) = 1947

GCD(3, 649) = ( 3 x 649 ) / 1947

GCD(3, 649) = 1947 / 1947

GCD(3, 649) = 1

GCD of 273, 225, 69, 649 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 511, 872, 27, 288
• GCD of 439, 228, 45, 400
• GCD of 930, 300, 10, 713
• GCD of 597, 574, 84, 279
• GCD of 991, 911, 58, 980

1. What is the GCD of 273, 225, 69, 649?

GCD of 273, 225, 69, 649 is 1

2. Where do I get the detailed procedure to find GCD of 273, 225, 69, 649?

You can find a detailed procedure to find GCD of 273, 225, 69, 649 on our page.

3. How to find GCD of 273, 225, 69, 649 on a calculator?

You can find the GCD of 273, 225, 69, 649 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.