GCD of 272, 297, 74, 189 Calculator

Given Input numbers are 272, 297, 74, 189

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

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

Divisors of 297

List of positive integer divisors of 297 that divides 297 without a remainder.

1, 3, 9, 11, 27, 33, 99, 297

Divisors of 74

List of positive integer divisors of 74 that divides 74 without a remainder.

1, 2, 37, 74

Divisors of 189

List of positive integer divisors of 189 that divides 189 without a remainder.

1, 3, 7, 9, 21, 27, 63, 189

Greatest Common Divisior

We found the divisors of 272, 297, 74, 189 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 272, 297, 74, 189 is 1.

Therefore, GCD of numbers 272, 297, 74, 189 is 1

Given Input Data is 272, 297, 74, 189

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

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

Prime Factorization of 297 is 3 x 3 x 3 x 11

Prime Factorization of 74 is 2 x 37

Prime Factorization of 189 is 3 x 3 x 3 x 7

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(272, 297) = 80784

GCD(272, 297) = ( 272 x 297 ) / 80784

GCD(272, 297) = 80784 / 80784

GCD(272, 297) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 74

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

LCM(1, 74) = 74

GCD(1, 74) = ( 1 x 74 ) / 74

GCD(1, 74) = 74 / 74

GCD(1, 74) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 189

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

LCM(1, 189) = 189

GCD(1, 189) = ( 1 x 189 ) / 189

GCD(1, 189) = 189 / 189

GCD(1, 189) = 1

GCD of 272, 297, 74, 189 is 1

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1. What is the GCD of 272, 297, 74, 189?

GCD of 272, 297, 74, 189 is 1

2. Where do I get the detailed procedure to find GCD of 272, 297, 74, 189?

You can find a detailed procedure to find GCD of 272, 297, 74, 189 on our page.

3. How to find GCD of 272, 297, 74, 189 on a calculator?

You can find the GCD of 272, 297, 74, 189 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.