GCD of 398, 547, 191, 175 Calculator

Given Input numbers are 398, 547, 191, 175

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

Divisors of 398

List of positive integer divisors of 398 that divides 398 without a remainder.

1, 2, 199, 398

Divisors of 547

List of positive integer divisors of 547 that divides 547 without a remainder.

1, 547

Divisors of 191

List of positive integer divisors of 191 that divides 191 without a remainder.

1, 191

Divisors of 175

List of positive integer divisors of 175 that divides 175 without a remainder.

1, 5, 7, 25, 35, 175

Greatest Common Divisior

We found the divisors of 398, 547, 191, 175 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 398, 547, 191, 175 is 1.

Therefore, GCD of numbers 398, 547, 191, 175 is 1

Given Input Data is 398, 547, 191, 175

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

Prime Factorization of 398 is 2 x 199

Prime Factorization of 547 is 547

Prime Factorization of 191 is 191

Prime Factorization of 175 is 5 x 5 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(398, 547) = 217706

GCD(398, 547) = ( 398 x 547 ) / 217706

GCD(398, 547) = 217706 / 217706

GCD(398, 547) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 191

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

LCM(1, 191) = 191

GCD(1, 191) = ( 1 x 191 ) / 191

GCD(1, 191) = 191 / 191

GCD(1, 191) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 175

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

LCM(1, 175) = 175

GCD(1, 175) = ( 1 x 175 ) / 175

GCD(1, 175) = 175 / 175

GCD(1, 175) = 1

GCD of 398, 547, 191, 175 is 1

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1. What is the GCD of 398, 547, 191, 175?

GCD of 398, 547, 191, 175 is 1

2. Where do I get the detailed procedure to find GCD of 398, 547, 191, 175?

You can find a detailed procedure to find GCD of 398, 547, 191, 175 on our page.

3. How to find GCD of 398, 547, 191, 175 on a calculator?

You can find the GCD of 398, 547, 191, 175 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.