GCD of 991, 515, 595, 842 Calculator

Given Input numbers are 991, 515, 595, 842

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 515

List of positive integer divisors of 515 that divides 515 without a remainder.

1, 5, 103, 515

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 842

List of positive integer divisors of 842 that divides 842 without a remainder.

1, 2, 421, 842

Greatest Common Divisior

We found the divisors of 991, 515, 595, 842 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 991, 515, 595, 842 is 1.

Therefore, GCD of numbers 991, 515, 595, 842 is 1

Given Input Data is 991, 515, 595, 842

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

Prime Factorization of 991 is 991

Prime Factorization of 515 is 5 x 103

Prime Factorization of 595 is 5 x 7 x 17

Prime Factorization of 842 is 2 x 421

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, 515) = 510365

GCD(991, 515) = ( 991 x 515 ) / 510365

GCD(991, 515) = 510365 / 510365

GCD(991, 515) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 595

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

LCM(1, 595) = 595

GCD(1, 595) = ( 1 x 595 ) / 595

GCD(1, 595) = 595 / 595

GCD(1, 595) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 842

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

LCM(1, 842) = 842

GCD(1, 842) = ( 1 x 842 ) / 842

GCD(1, 842) = 842 / 842

GCD(1, 842) = 1

GCD of 991, 515, 595, 842 is 1

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1. What is the GCD of 991, 515, 595, 842?

GCD of 991, 515, 595, 842 is 1

2. Where do I get the detailed procedure to find GCD of 991, 515, 595, 842?

You can find a detailed procedure to find GCD of 991, 515, 595, 842 on our page.

3. How to find GCD of 991, 515, 595, 842 on a calculator?

You can find the GCD of 991, 515, 595, 842 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.