GCD of 191, 175, 998, 748 Calculator

Given Input numbers are 191, 175, 998, 748

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

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

Divisors of 998

List of positive integer divisors of 998 that divides 998 without a remainder.

1, 2, 499, 998

Divisors of 748

List of positive integer divisors of 748 that divides 748 without a remainder.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Greatest Common Divisior

We found the divisors of 191, 175, 998, 748 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 191, 175, 998, 748 is 1.

Therefore, GCD of numbers 191, 175, 998, 748 is 1

Given Input Data is 191, 175, 998, 748

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

Prime Factorization of 191 is 191

Prime Factorization of 175 is 5 x 5 x 7

Prime Factorization of 998 is 2 x 499

Prime Factorization of 748 is 2 x 2 x 11 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(191, 175) = 33425

GCD(191, 175) = ( 191 x 175 ) / 33425

GCD(191, 175) = 33425 / 33425

GCD(191, 175) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 998

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

LCM(1, 998) = 998

GCD(1, 998) = ( 1 x 998 ) / 998

GCD(1, 998) = 998 / 998

GCD(1, 998) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 748

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

LCM(1, 748) = 748

GCD(1, 748) = ( 1 x 748 ) / 748

GCD(1, 748) = 748 / 748

GCD(1, 748) = 1

GCD of 191, 175, 998, 748 is 1

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1. What is the GCD of 191, 175, 998, 748?

GCD of 191, 175, 998, 748 is 1

2. Where do I get the detailed procedure to find GCD of 191, 175, 998, 748?

You can find a detailed procedure to find GCD of 191, 175, 998, 748 on our page.

3. How to find GCD of 191, 175, 998, 748 on a calculator?

You can find the GCD of 191, 175, 998, 748 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.