GCD of 197, 358, 578, 272 Calculator

Given Input numbers are 197, 358, 578, 272

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

Divisors of 197

List of positive integer divisors of 197 that divides 197 without a remainder.

1, 197

Divisors of 358

List of positive integer divisors of 358 that divides 358 without a remainder.

1, 2, 179, 358

Divisors of 578

List of positive integer divisors of 578 that divides 578 without a remainder.

1, 2, 17, 34, 289, 578

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 197, 358, 578, 272 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 197, 358, 578, 272 is 1.

Therefore, GCD of numbers 197, 358, 578, 272 is 1

Given Input Data is 197, 358, 578, 272

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

Prime Factorization of 197 is 197

Prime Factorization of 358 is 2 x 179

Prime Factorization of 578 is 2 x 17 x 17

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(197, 358) = 70526

GCD(197, 358) = ( 197 x 358 ) / 70526

GCD(197, 358) = 70526 / 70526

GCD(197, 358) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 578

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

LCM(1, 578) = 578

GCD(1, 578) = ( 1 x 578 ) / 578

GCD(1, 578) = 578 / 578

GCD(1, 578) = 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 197, 358, 578, 272 is 1

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1. What is the GCD of 197, 358, 578, 272?

GCD of 197, 358, 578, 272 is 1

2. Where do I get the detailed procedure to find GCD of 197, 358, 578, 272?

You can find a detailed procedure to find GCD of 197, 358, 578, 272 on our page.

3. How to find GCD of 197, 358, 578, 272 on a calculator?

You can find the GCD of 197, 358, 578, 272 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.