GCD of 23, 998, 107, 101 Calculator

Given Input numbers are 23, 998, 107, 101

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

Divisors of 23

List of positive integer divisors of 23 that divides 23 without a remainder.

1, 23

Divisors of 998

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

1, 2, 499, 998

Divisors of 107

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

1, 107

Divisors of 101

List of positive integer divisors of 101 that divides 101 without a remainder.

1, 101

Greatest Common Divisior

We found the divisors of 23, 998, 107, 101 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 23, 998, 107, 101 is 1.

Therefore, GCD of numbers 23, 998, 107, 101 is 1

Given Input Data is 23, 998, 107, 101

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

Prime Factorization of 23 is 23

Prime Factorization of 998 is 2 x 499

Prime Factorization of 107 is 107

Prime Factorization of 101 is 101

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(23, 998) = 22954

GCD(23, 998) = ( 23 x 998 ) / 22954

GCD(23, 998) = 22954 / 22954

GCD(23, 998) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 107

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

LCM(1, 107) = 107

GCD(1, 107) = ( 1 x 107 ) / 107

GCD(1, 107) = 107 / 107

GCD(1, 107) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 101

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

LCM(1, 101) = 101

GCD(1, 101) = ( 1 x 101 ) / 101

GCD(1, 101) = 101 / 101

GCD(1, 101) = 1

GCD of 23, 998, 107, 101 is 1

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1. What is the GCD of 23, 998, 107, 101?

GCD of 23, 998, 107, 101 is 1

2. Where do I get the detailed procedure to find GCD of 23, 998, 107, 101?

You can find a detailed procedure to find GCD of 23, 998, 107, 101 on our page.

3. How to find GCD of 23, 998, 107, 101 on a calculator?

You can find the GCD of 23, 998, 107, 101 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.