GCD of 138, 789, 954 Calculator

Given Input numbers are 138, 789, 954

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

Divisors of 138

List of positive integer divisors of 138 that divides 138 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138

Divisors of 789

List of positive integer divisors of 789 that divides 789 without a remainder.

1, 3, 263, 789

Divisors of 954

List of positive integer divisors of 954 that divides 954 without a remainder.

1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954

Greatest Common Divisior

We found the divisors of 138, 789, 954 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 138, 789, 954 is 3.

Therefore, GCD of numbers 138, 789, 954 is 3

Given Input Data is 138, 789, 954

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

Prime Factorization of 138 is 2 x 3 x 23

Prime Factorization of 789 is 3 x 263

Prime Factorization of 954 is 2 x 3 x 3 x 53

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(138, 789) = 36294

GCD(138, 789) = ( 138 x 789 ) / 36294

GCD(138, 789) = 108882 / 36294

GCD(138, 789) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 954

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

LCM(3, 954) = 954

GCD(3, 954) = ( 3 x 954 ) / 954

GCD(3, 954) = 2862 / 954

GCD(3, 954) = 3

GCD of 138, 789, 954 is 3

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1. What is the GCD of 138, 789, 954?

GCD of 138, 789, 954 is 3

2. Where do I get the detailed procedure to find GCD of 138, 789, 954?

You can find a detailed procedure to find GCD of 138, 789, 954 on our page.

3. How to find GCD of 138, 789, 954 on a calculator?

You can find the GCD of 138, 789, 954 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.