GCD of 871, 998, 97, 361 Calculator

Given Input numbers are 871, 998, 97, 361

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

Divisors of 871

List of positive integer divisors of 871 that divides 871 without a remainder.

1, 13, 67, 871

Divisors of 998

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

1, 2, 499, 998

Divisors of 97

List of positive integer divisors of 97 that divides 97 without a remainder.

1, 97

Divisors of 361

List of positive integer divisors of 361 that divides 361 without a remainder.

1, 19, 361

Greatest Common Divisior

We found the divisors of 871, 998, 97, 361 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 871, 998, 97, 361 is 1.

Therefore, GCD of numbers 871, 998, 97, 361 is 1

Given Input Data is 871, 998, 97, 361

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

Prime Factorization of 871 is 13 x 67

Prime Factorization of 998 is 2 x 499

Prime Factorization of 97 is 97

Prime Factorization of 361 is 19 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(871, 998) = 869258

GCD(871, 998) = ( 871 x 998 ) / 869258

GCD(871, 998) = 869258 / 869258

GCD(871, 998) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 97

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

LCM(1, 97) = 97

GCD(1, 97) = ( 1 x 97 ) / 97

GCD(1, 97) = 97 / 97

GCD(1, 97) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 361

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

LCM(1, 361) = 361

GCD(1, 361) = ( 1 x 361 ) / 361

GCD(1, 361) = 361 / 361

GCD(1, 361) = 1

GCD of 871, 998, 97, 361 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 504, 384, 72, 942
• GCD of 520, 250, 93, 287
• GCD of 816, 247, 39, 218
• GCD of 574, 273, 22, 118
• GCD of 633, 288, 51, 978

1. What is the GCD of 871, 998, 97, 361?

GCD of 871, 998, 97, 361 is 1

2. Where do I get the detailed procedure to find GCD of 871, 998, 97, 361?

You can find a detailed procedure to find GCD of 871, 998, 97, 361 on our page.

3. How to find GCD of 871, 998, 97, 361 on a calculator?

You can find the GCD of 871, 998, 97, 361 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.