GCD of 574, 273, 22, 118 Calculator

Given Input numbers are 574, 273, 22, 118

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

Divisors of 574

List of positive integer divisors of 574 that divides 574 without a remainder.

1, 2, 7, 14, 41, 82, 287, 574

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 22

List of positive integer divisors of 22 that divides 22 without a remainder.

1, 2, 11, 22

Divisors of 118

List of positive integer divisors of 118 that divides 118 without a remainder.

1, 2, 59, 118

Greatest Common Divisior

We found the divisors of 574, 273, 22, 118 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 574, 273, 22, 118 is 1.

Therefore, GCD of numbers 574, 273, 22, 118 is 1

Given Input Data is 574, 273, 22, 118

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

Prime Factorization of 574 is 2 x 7 x 41

Prime Factorization of 273 is 3 x 7 x 13

Prime Factorization of 22 is 2 x 11

Prime Factorization of 118 is 2 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(574, 273) = 22386

GCD(574, 273) = ( 574 x 273 ) / 22386

GCD(574, 273) = 156702 / 22386

GCD(574, 273) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 22

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

LCM(7, 22) = 154

GCD(7, 22) = ( 7 x 22 ) / 154

GCD(7, 22) = 154 / 154

GCD(7, 22) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 118

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

LCM(1, 118) = 118

GCD(1, 118) = ( 1 x 118 ) / 118

GCD(1, 118) = 118 / 118

GCD(1, 118) = 1

GCD of 574, 273, 22, 118 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 372, 835, 43, 831
• GCD of 466, 237, 33, 288
• GCD of 163, 102, 84, 791
• GCD of 322, 411, 17, 792
• GCD of 205, 203, 69, 241

1. What is the GCD of 574, 273, 22, 118?

GCD of 574, 273, 22, 118 is 1

2. Where do I get the detailed procedure to find GCD of 574, 273, 22, 118?

You can find a detailed procedure to find GCD of 574, 273, 22, 118 on our page.

3. How to find GCD of 574, 273, 22, 118 on a calculator?

You can find the GCD of 574, 273, 22, 118 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.