GCD of 117, 984, 123 Calculator

Given Input numbers are 117, 984, 123

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

Divisors of 117

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

1, 3, 9, 13, 39, 117

Divisors of 984

List of positive integer divisors of 984 that divides 984 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

Divisors of 123

List of positive integer divisors of 123 that divides 123 without a remainder.

1, 3, 41, 123

Greatest Common Divisior

We found the divisors of 117, 984, 123 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 117, 984, 123 is 3.

Therefore, GCD of numbers 117, 984, 123 is 3

Given Input Data is 117, 984, 123

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

Prime Factorization of 117 is 3 x 3 x 13

Prime Factorization of 984 is 2 x 2 x 2 x 3 x 41

Prime Factorization of 123 is 3 x 41

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(117, 984) = 38376

GCD(117, 984) = ( 117 x 984 ) / 38376

GCD(117, 984) = 115128 / 38376

GCD(117, 984) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 123

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

LCM(3, 123) = 123

GCD(3, 123) = ( 3 x 123 ) / 123

GCD(3, 123) = 369 / 123

GCD(3, 123) = 3

GCD of 117, 984, 123 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 425, 899, 638
• GCD of 495, 547, 455
• GCD of 421, 279, 858
• GCD of 475, 978, 187
• GCD of 958, 688, 948

1. What is the GCD of 117, 984, 123?

GCD of 117, 984, 123 is 3

2. Where do I get the detailed procedure to find GCD of 117, 984, 123?

You can find a detailed procedure to find GCD of 117, 984, 123 on our page.

3. How to find GCD of 117, 984, 123 on a calculator?

You can find the GCD of 117, 984, 123 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.