GCD of 408, 939, 72, 179 Calculator

Given Input numbers are 408, 939, 72, 179

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

Divisors of 408

List of positive integer divisors of 408 that divides 408 without a remainder.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

Divisors of 939

List of positive integer divisors of 939 that divides 939 without a remainder.

1, 3, 313, 939

Divisors of 72

List of positive integer divisors of 72 that divides 72 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

Divisors of 179

List of positive integer divisors of 179 that divides 179 without a remainder.

1, 179

Greatest Common Divisior

We found the divisors of 408, 939, 72, 179 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 408, 939, 72, 179 is 1.

Therefore, GCD of numbers 408, 939, 72, 179 is 1

Given Input Data is 408, 939, 72, 179

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

Prime Factorization of 408 is 2 x 2 x 2 x 3 x 17

Prime Factorization of 939 is 3 x 313

Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3

Prime Factorization of 179 is 179

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(408, 939) = 127704

GCD(408, 939) = ( 408 x 939 ) / 127704

GCD(408, 939) = 383112 / 127704

GCD(408, 939) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 72

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

LCM(3, 72) = 72

GCD(3, 72) = ( 3 x 72 ) / 72

GCD(3, 72) = 216 / 72

GCD(3, 72) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 179

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

LCM(3, 179) = 537

GCD(3, 179) = ( 3 x 179 ) / 537

GCD(3, 179) = 537 / 537

GCD(3, 179) = 1

GCD of 408, 939, 72, 179 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 303, 941, 15, 963
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• GCD of 860, 771, 13, 960

1. What is the GCD of 408, 939, 72, 179?

GCD of 408, 939, 72, 179 is 1

2. Where do I get the detailed procedure to find GCD of 408, 939, 72, 179?

You can find a detailed procedure to find GCD of 408, 939, 72, 179 on our page.

3. How to find GCD of 408, 939, 72, 179 on a calculator?

You can find the GCD of 408, 939, 72, 179 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.