GCD of 171, 991, 993, 323 Calculator

Given Input numbers are 171, 991, 993, 323

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

Divisors of 171

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

1, 3, 9, 19, 57, 171

Divisors of 991

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

1, 991

Divisors of 993

List of positive integer divisors of 993 that divides 993 without a remainder.

1, 3, 331, 993

Divisors of 323

List of positive integer divisors of 323 that divides 323 without a remainder.

1, 17, 19, 323

Greatest Common Divisior

We found the divisors of 171, 991, 993, 323 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 171, 991, 993, 323 is 1.

Therefore, GCD of numbers 171, 991, 993, 323 is 1

Given Input Data is 171, 991, 993, 323

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

Prime Factorization of 171 is 3 x 3 x 19

Prime Factorization of 991 is 991

Prime Factorization of 993 is 3 x 331

Prime Factorization of 323 is 17 x 19

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(171, 991) = 169461

GCD(171, 991) = ( 171 x 991 ) / 169461

GCD(171, 991) = 169461 / 169461

GCD(171, 991) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 993

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

LCM(1, 993) = 993

GCD(1, 993) = ( 1 x 993 ) / 993

GCD(1, 993) = 993 / 993

GCD(1, 993) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 323

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

LCM(1, 323) = 323

GCD(1, 323) = ( 1 x 323 ) / 323

GCD(1, 323) = 323 / 323

GCD(1, 323) = 1

GCD of 171, 991, 993, 323 is 1

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1. What is the GCD of 171, 991, 993, 323?

GCD of 171, 991, 993, 323 is 1

2. Where do I get the detailed procedure to find GCD of 171, 991, 993, 323?

You can find a detailed procedure to find GCD of 171, 991, 993, 323 on our page.

3. How to find GCD of 171, 991, 993, 323 on a calculator?

You can find the GCD of 171, 991, 993, 323 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.