GCD of 273, 107, 21, 115 Calculator

Given Input numbers are 273, 107, 21, 115

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 107

List of positive integer divisors of 107 that divides 107 without a remainder.

1, 107

Divisors of 21

List of positive integer divisors of 21 that divides 21 without a remainder.

1, 3, 7, 21

Divisors of 115

List of positive integer divisors of 115 that divides 115 without a remainder.

1, 5, 23, 115

Greatest Common Divisior

We found the divisors of 273, 107, 21, 115 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 273, 107, 21, 115 is 1.

Therefore, GCD of numbers 273, 107, 21, 115 is 1

Given Input Data is 273, 107, 21, 115

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 107 is 107

Prime Factorization of 21 is 3 x 7

Prime Factorization of 115 is 5 x 23

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, 107) = 29211

GCD(273, 107) = ( 273 x 107 ) / 29211

GCD(273, 107) = 29211 / 29211

GCD(273, 107) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 21

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

LCM(1, 21) = 21

GCD(1, 21) = ( 1 x 21 ) / 21

GCD(1, 21) = 21 / 21

GCD(1, 21) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 115

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

LCM(1, 115) = 115

GCD(1, 115) = ( 1 x 115 ) / 115

GCD(1, 115) = 115 / 115

GCD(1, 115) = 1

GCD of 273, 107, 21, 115 is 1

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• GCD of 789, 772, 25, 961
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1. What is the GCD of 273, 107, 21, 115?

GCD of 273, 107, 21, 115 is 1

2. Where do I get the detailed procedure to find GCD of 273, 107, 21, 115?

You can find a detailed procedure to find GCD of 273, 107, 21, 115 on our page.

3. How to find GCD of 273, 107, 21, 115 on a calculator?

You can find the GCD of 273, 107, 21, 115 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.