GCD of 103, 195, 23, 456 Calculator

Given Input numbers are 103, 195, 23, 456

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

Divisors of 103

List of positive integer divisors of 103 that divides 103 without a remainder.

1, 103

Divisors of 195

List of positive integer divisors of 195 that divides 195 without a remainder.

1, 3, 5, 13, 15, 39, 65, 195

Divisors of 23

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

1, 23

Divisors of 456

List of positive integer divisors of 456 that divides 456 without a remainder.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

Greatest Common Divisior

We found the divisors of 103, 195, 23, 456 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 103, 195, 23, 456 is 1.

Therefore, GCD of numbers 103, 195, 23, 456 is 1

Given Input Data is 103, 195, 23, 456

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

Prime Factorization of 103 is 103

Prime Factorization of 195 is 3 x 5 x 13

Prime Factorization of 23 is 23

Prime Factorization of 456 is 2 x 2 x 2 x 3 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(103, 195) = 20085

GCD(103, 195) = ( 103 x 195 ) / 20085

GCD(103, 195) = 20085 / 20085

GCD(103, 195) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 23

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

LCM(1, 23) = 23

GCD(1, 23) = ( 1 x 23 ) / 23

GCD(1, 23) = 23 / 23

GCD(1, 23) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 456

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

LCM(1, 456) = 456

GCD(1, 456) = ( 1 x 456 ) / 456

GCD(1, 456) = 456 / 456

GCD(1, 456) = 1

GCD of 103, 195, 23, 456 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 902, 763, 93, 915
• GCD of 220, 888, 33, 847
• GCD of 112, 604, 80, 582
• GCD of 177, 949, 46, 944
• GCD of 316, 357, 18, 805

1. What is the GCD of 103, 195, 23, 456?

GCD of 103, 195, 23, 456 is 1

2. Where do I get the detailed procedure to find GCD of 103, 195, 23, 456?

You can find a detailed procedure to find GCD of 103, 195, 23, 456 on our page.

3. How to find GCD of 103, 195, 23, 456 on a calculator?

You can find the GCD of 103, 195, 23, 456 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.