GCD of 447, 309, 39, 948 Calculator

Given Input numbers are 447, 309, 39, 948

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

Divisors of 447

List of positive integer divisors of 447 that divides 447 without a remainder.

1, 3, 149, 447

Divisors of 309

List of positive integer divisors of 309 that divides 309 without a remainder.

1, 3, 103, 309

Divisors of 39

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

1, 3, 13, 39

Divisors of 948

List of positive integer divisors of 948 that divides 948 without a remainder.

1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948

Greatest Common Divisior

We found the divisors of 447, 309, 39, 948 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 447, 309, 39, 948 is 3.

Therefore, GCD of numbers 447, 309, 39, 948 is 3

Given Input Data is 447, 309, 39, 948

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

Prime Factorization of 447 is 3 x 149

Prime Factorization of 309 is 3 x 103

Prime Factorization of 39 is 3 x 13

Prime Factorization of 948 is 2 x 2 x 3 x 79

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(447, 309) = 46041

GCD(447, 309) = ( 447 x 309 ) / 46041

GCD(447, 309) = 138123 / 46041

GCD(447, 309) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 39

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

LCM(3, 39) = 39

GCD(3, 39) = ( 3 x 39 ) / 39

GCD(3, 39) = 117 / 39

GCD(3, 39) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 948

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

LCM(3, 948) = 948

GCD(3, 948) = ( 3 x 948 ) / 948

GCD(3, 948) = 2844 / 948

GCD(3, 948) = 3

GCD of 447, 309, 39, 948 is 3

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1. What is the GCD of 447, 309, 39, 948?

GCD of 447, 309, 39, 948 is 3

2. Where do I get the detailed procedure to find GCD of 447, 309, 39, 948?

You can find a detailed procedure to find GCD of 447, 309, 39, 948 on our page.

3. How to find GCD of 447, 309, 39, 948 on a calculator?

You can find the GCD of 447, 309, 39, 948 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.