GCD of 39, 156, 795, 423 Calculator

Given Input numbers are 39, 156, 795, 423

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

Divisors of 39

List of positive integer divisors of 39 that divides 39 without a remainder.

1, 3, 13, 39

Divisors of 156

List of positive integer divisors of 156 that divides 156 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156

Divisors of 795

List of positive integer divisors of 795 that divides 795 without a remainder.

1, 3, 5, 15, 53, 159, 265, 795

Divisors of 423

List of positive integer divisors of 423 that divides 423 without a remainder.

1, 3, 9, 47, 141, 423

Greatest Common Divisior

We found the divisors of 39, 156, 795, 423 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 39, 156, 795, 423 is 3.

Therefore, GCD of numbers 39, 156, 795, 423 is 3

Given Input Data is 39, 156, 795, 423

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

Prime Factorization of 39 is 3 x 13

Prime Factorization of 156 is 2 x 2 x 3 x 13

Prime Factorization of 795 is 3 x 5 x 53

Prime Factorization of 423 is 3 x 3 x 47

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(39, 156) = 156

GCD(39, 156) = ( 39 x 156 ) / 156

GCD(39, 156) = 6084 / 156

GCD(39, 156) = 39

Step2:

Here we consider the GCD from the above i.e. 39 as first number and the next as 795

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

LCM(39, 795) = 10335

GCD(39, 795) = ( 39 x 795 ) / 10335

GCD(39, 795) = 31005 / 10335

GCD(39, 795) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 423

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

LCM(3, 423) = 423

GCD(3, 423) = ( 3 x 423 ) / 423

GCD(3, 423) = 1269 / 423

GCD(3, 423) = 3

GCD of 39, 156, 795, 423 is 3

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• GCD of 72, 751, 288, 477
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1. What is the GCD of 39, 156, 795, 423?

GCD of 39, 156, 795, 423 is 3

2. Where do I get the detailed procedure to find GCD of 39, 156, 795, 423?

You can find a detailed procedure to find GCD of 39, 156, 795, 423 on our page.

3. How to find GCD of 39, 156, 795, 423 on a calculator?

You can find the GCD of 39, 156, 795, 423 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.