GCD of 273, 145, 317, 106 Calculator

Given Input numbers are 273, 145, 317, 106

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 145

List of positive integer divisors of 145 that divides 145 without a remainder.

1, 5, 29, 145

Divisors of 317

List of positive integer divisors of 317 that divides 317 without a remainder.

1, 317

Divisors of 106

List of positive integer divisors of 106 that divides 106 without a remainder.

1, 2, 53, 106

Greatest Common Divisior

We found the divisors of 273, 145, 317, 106 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 273, 145, 317, 106 is 1.

Therefore, GCD of numbers 273, 145, 317, 106 is 1

Given Input Data is 273, 145, 317, 106

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 145 is 5 x 29

Prime Factorization of 317 is 317

Prime Factorization of 106 is 2 x 53

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, 145) = 39585

GCD(273, 145) = ( 273 x 145 ) / 39585

GCD(273, 145) = 39585 / 39585

GCD(273, 145) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 317

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

LCM(1, 317) = 317

GCD(1, 317) = ( 1 x 317 ) / 317

GCD(1, 317) = 317 / 317

GCD(1, 317) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 106

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

LCM(1, 106) = 106

GCD(1, 106) = ( 1 x 106 ) / 106

GCD(1, 106) = 106 / 106

GCD(1, 106) = 1

GCD of 273, 145, 317, 106 is 1

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1. What is the GCD of 273, 145, 317, 106?

GCD of 273, 145, 317, 106 is 1

2. Where do I get the detailed procedure to find GCD of 273, 145, 317, 106?

You can find a detailed procedure to find GCD of 273, 145, 317, 106 on our page.

3. How to find GCD of 273, 145, 317, 106 on a calculator?

You can find the GCD of 273, 145, 317, 106 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.