GCD of 991, 724, 171, 998 Calculator

Given Input numbers are 991, 724, 171, 998

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 724

List of positive integer divisors of 724 that divides 724 without a remainder.

1, 2, 4, 181, 362, 724

Divisors of 171

List of positive integer divisors of 171 that divides 171 without a remainder.

1, 3, 9, 19, 57, 171

Divisors of 998

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

1, 2, 499, 998

Greatest Common Divisior

We found the divisors of 991, 724, 171, 998 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 991, 724, 171, 998 is 1.

Therefore, GCD of numbers 991, 724, 171, 998 is 1

Given Input Data is 991, 724, 171, 998

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

Prime Factorization of 991 is 991

Prime Factorization of 724 is 2 x 2 x 181

Prime Factorization of 171 is 3 x 3 x 19

Prime Factorization of 998 is 2 x 499

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, 724) = 717484

GCD(991, 724) = ( 991 x 724 ) / 717484

GCD(991, 724) = 717484 / 717484

GCD(991, 724) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 171

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

LCM(1, 171) = 171

GCD(1, 171) = ( 1 x 171 ) / 171

GCD(1, 171) = 171 / 171

GCD(1, 171) = 1

Step3:

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

GCD of 991, 724, 171, 998 is 1

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1. What is the GCD of 991, 724, 171, 998?

GCD of 991, 724, 171, 998 is 1

2. Where do I get the detailed procedure to find GCD of 991, 724, 171, 998?

You can find a detailed procedure to find GCD of 991, 724, 171, 998 on our page.

3. How to find GCD of 991, 724, 171, 998 on a calculator?

You can find the GCD of 991, 724, 171, 998 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.