GCD of 107, 998, 168, 231 Calculator

Given Input numbers are 107, 998, 168, 231

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

Divisors of 107

List of positive integer divisors of 107 that divides 107 without a remainder.

1, 107

Divisors of 998

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

1, 2, 499, 998

Divisors of 168

List of positive integer divisors of 168 that divides 168 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

Divisors of 231

List of positive integer divisors of 231 that divides 231 without a remainder.

1, 3, 7, 11, 21, 33, 77, 231

Greatest Common Divisior

We found the divisors of 107, 998, 168, 231 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 107, 998, 168, 231 is 1.

Therefore, GCD of numbers 107, 998, 168, 231 is 1

Given Input Data is 107, 998, 168, 231

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

Prime Factorization of 107 is 107

Prime Factorization of 998 is 2 x 499

Prime Factorization of 168 is 2 x 2 x 2 x 3 x 7

Prime Factorization of 231 is 3 x 7 x 11

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(107, 998) = 106786

GCD(107, 998) = ( 107 x 998 ) / 106786

GCD(107, 998) = 106786 / 106786

GCD(107, 998) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 168

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

LCM(1, 168) = 168

GCD(1, 168) = ( 1 x 168 ) / 168

GCD(1, 168) = 168 / 168

GCD(1, 168) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 231

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

LCM(1, 231) = 231

GCD(1, 231) = ( 1 x 231 ) / 231

GCD(1, 231) = 231 / 231

GCD(1, 231) = 1

GCD of 107, 998, 168, 231 is 1

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1. What is the GCD of 107, 998, 168, 231?

GCD of 107, 998, 168, 231 is 1

2. Where do I get the detailed procedure to find GCD of 107, 998, 168, 231?

You can find a detailed procedure to find GCD of 107, 998, 168, 231 on our page.

3. How to find GCD of 107, 998, 168, 231 on a calculator?

You can find the GCD of 107, 998, 168, 231 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.