GCD of 109, 204, 73, 272 Calculator

Given Input numbers are 109, 204, 73, 272

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

Divisors of 109

List of positive integer divisors of 109 that divides 109 without a remainder.

1, 109

Divisors of 204

List of positive integer divisors of 204 that divides 204 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

Divisors of 73

List of positive integer divisors of 73 that divides 73 without a remainder.

1, 73

Divisors of 272

List of positive integer divisors of 272 that divides 272 without a remainder.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272

Greatest Common Divisior

We found the divisors of 109, 204, 73, 272 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 109, 204, 73, 272 is 1.

Therefore, GCD of numbers 109, 204, 73, 272 is 1

Given Input Data is 109, 204, 73, 272

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

Prime Factorization of 109 is 109

Prime Factorization of 204 is 2 x 2 x 3 x 17

Prime Factorization of 73 is 73

Prime Factorization of 272 is 2 x 2 x 2 x 2 x 17

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(109, 204) = 22236

GCD(109, 204) = ( 109 x 204 ) / 22236

GCD(109, 204) = 22236 / 22236

GCD(109, 204) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 73

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

LCM(1, 73) = 73

GCD(1, 73) = ( 1 x 73 ) / 73

GCD(1, 73) = 73 / 73

GCD(1, 73) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 272

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

LCM(1, 272) = 272

GCD(1, 272) = ( 1 x 272 ) / 272

GCD(1, 272) = 272 / 272

GCD(1, 272) = 1

GCD of 109, 204, 73, 272 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 561, 981, 18, 173
• GCD of 823, 603, 52, 954
• GCD of 383, 651, 73, 663
• GCD of 841, 718, 23, 135
• GCD of 669, 654, 98, 557

1. What is the GCD of 109, 204, 73, 272?

GCD of 109, 204, 73, 272 is 1

2. Where do I get the detailed procedure to find GCD of 109, 204, 73, 272?

You can find a detailed procedure to find GCD of 109, 204, 73, 272 on our page.

3. How to find GCD of 109, 204, 73, 272 on a calculator?

You can find the GCD of 109, 204, 73, 272 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.