GCD of 913, 172, 23, 100 Calculator

Given Input numbers are 913, 172, 23, 100

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

Divisors of 913

List of positive integer divisors of 913 that divides 913 without a remainder.

1, 11, 83, 913

Divisors of 172

List of positive integer divisors of 172 that divides 172 without a remainder.

1, 2, 4, 43, 86, 172

Divisors of 23

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

1, 23

Divisors of 100

List of positive integer divisors of 100 that divides 100 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100

Greatest Common Divisior

We found the divisors of 913, 172, 23, 100 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 913, 172, 23, 100 is 1.

Therefore, GCD of numbers 913, 172, 23, 100 is 1

Given Input Data is 913, 172, 23, 100

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

Prime Factorization of 913 is 11 x 83

Prime Factorization of 172 is 2 x 2 x 43

Prime Factorization of 23 is 23

Prime Factorization of 100 is 2 x 2 x 5 x 5

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(913, 172) = 157036

GCD(913, 172) = ( 913 x 172 ) / 157036

GCD(913, 172) = 157036 / 157036

GCD(913, 172) = 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 100

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

LCM(1, 100) = 100

GCD(1, 100) = ( 1 x 100 ) / 100

GCD(1, 100) = 100 / 100

GCD(1, 100) = 1

GCD of 913, 172, 23, 100 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 947, 581, 71, 947
• GCD of 684, 718, 50, 115
• GCD of 365, 860, 95, 367
• GCD of 284, 326, 94, 872
• GCD of 734, 506, 56, 701

1. What is the GCD of 913, 172, 23, 100?

GCD of 913, 172, 23, 100 is 1

2. Where do I get the detailed procedure to find GCD of 913, 172, 23, 100?

You can find a detailed procedure to find GCD of 913, 172, 23, 100 on our page.

3. How to find GCD of 913, 172, 23, 100 on a calculator?

You can find the GCD of 913, 172, 23, 100 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.