GCD of 991, 595, 722, 398 Calculator

Given Input numbers are 991, 595, 722, 398

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

Divisors of 991

List of positive integer divisors of 991 that divides 991 without a remainder.

1, 991

Divisors of 595

List of positive integer divisors of 595 that divides 595 without a remainder.

1, 5, 7, 17, 35, 85, 119, 595

Divisors of 722

List of positive integer divisors of 722 that divides 722 without a remainder.

1, 2, 19, 38, 361, 722

Divisors of 398

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

1, 2, 199, 398

Greatest Common Divisior

We found the divisors of 991, 595, 722, 398 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 991, 595, 722, 398 is 1.

Therefore, GCD of numbers 991, 595, 722, 398 is 1

Given Input Data is 991, 595, 722, 398

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

Prime Factorization of 991 is 991

Prime Factorization of 595 is 5 x 7 x 17

Prime Factorization of 722 is 2 x 19 x 19

Prime Factorization of 398 is 2 x 199

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(991, 595) = 589645

GCD(991, 595) = ( 991 x 595 ) / 589645

GCD(991, 595) = 589645 / 589645

GCD(991, 595) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 722

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

LCM(1, 722) = 722

GCD(1, 722) = ( 1 x 722 ) / 722

GCD(1, 722) = 722 / 722

GCD(1, 722) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 398

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

LCM(1, 398) = 398

GCD(1, 398) = ( 1 x 398 ) / 398

GCD(1, 398) = 398 / 398

GCD(1, 398) = 1

GCD of 991, 595, 722, 398 is 1

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1. What is the GCD of 991, 595, 722, 398?

GCD of 991, 595, 722, 398 is 1

2. Where do I get the detailed procedure to find GCD of 991, 595, 722, 398?

You can find a detailed procedure to find GCD of 991, 595, 722, 398 on our page.

3. How to find GCD of 991, 595, 722, 398 on a calculator?

You can find the GCD of 991, 595, 722, 398 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.