GCD of 23, 117, 623, 132 Calculator

Given Input numbers are 23, 117, 623, 132

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 117

List of positive integer divisors of 117 that divides 117 without a remainder.

1, 3, 9, 13, 39, 117

Divisors of 623

List of positive integer divisors of 623 that divides 623 without a remainder.

1, 7, 89, 623

Divisors of 132

List of positive integer divisors of 132 that divides 132 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

Greatest Common Divisior

We found the divisors of 23, 117, 623, 132 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 23, 117, 623, 132 is 1.

Therefore, GCD of numbers 23, 117, 623, 132 is 1

Given Input Data is 23, 117, 623, 132

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

Prime Factorization of 23 is 23

Prime Factorization of 117 is 3 x 3 x 13

Prime Factorization of 623 is 7 x 89

Prime Factorization of 132 is 2 x 2 x 3 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(23, 117) = 2691

GCD(23, 117) = ( 23 x 117 ) / 2691

GCD(23, 117) = 2691 / 2691

GCD(23, 117) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 623

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

LCM(1, 623) = 623

GCD(1, 623) = ( 1 x 623 ) / 623

GCD(1, 623) = 623 / 623

GCD(1, 623) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 132

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

LCM(1, 132) = 132

GCD(1, 132) = ( 1 x 132 ) / 132

GCD(1, 132) = 132 / 132

GCD(1, 132) = 1

GCD of 23, 117, 623, 132 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 83, 193, 160, 518
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• GCD of 92, 973, 660, 800
• GCD of 65, 491, 994, 100
• GCD of 78, 315, 490, 157

1. What is the GCD of 23, 117, 623, 132?

GCD of 23, 117, 623, 132 is 1

2. Where do I get the detailed procedure to find GCD of 23, 117, 623, 132?

You can find a detailed procedure to find GCD of 23, 117, 623, 132 on our page.

3. How to find GCD of 23, 117, 623, 132 on a calculator?

You can find the GCD of 23, 117, 623, 132 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.