GCD of 399, 169, 27, 308 Calculator

Given Input numbers are 399, 169, 27, 308

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

Divisors of 399

List of positive integer divisors of 399 that divides 399 without a remainder.

1, 3, 7, 19, 21, 57, 133, 399

Divisors of 169

List of positive integer divisors of 169 that divides 169 without a remainder.

1, 13, 169

Divisors of 27

List of positive integer divisors of 27 that divides 27 without a remainder.

1, 3, 9, 27

Divisors of 308

List of positive integer divisors of 308 that divides 308 without a remainder.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

Greatest Common Divisior

We found the divisors of 399, 169, 27, 308 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 399, 169, 27, 308 is 1.

Therefore, GCD of numbers 399, 169, 27, 308 is 1

Given Input Data is 399, 169, 27, 308

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

Prime Factorization of 399 is 3 x 7 x 19

Prime Factorization of 169 is 13 x 13

Prime Factorization of 27 is 3 x 3 x 3

Prime Factorization of 308 is 2 x 2 x 7 x 11

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(399, 169) = 67431

GCD(399, 169) = ( 399 x 169 ) / 67431

GCD(399, 169) = 67431 / 67431

GCD(399, 169) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 27

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

LCM(1, 27) = 27

GCD(1, 27) = ( 1 x 27 ) / 27

GCD(1, 27) = 27 / 27

GCD(1, 27) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 308

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

LCM(1, 308) = 308

GCD(1, 308) = ( 1 x 308 ) / 308

GCD(1, 308) = 308 / 308

GCD(1, 308) = 1

GCD of 399, 169, 27, 308 is 1

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• GCD of 478, 162, 26, 673
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• GCD of 853, 274, 81, 818

1. What is the GCD of 399, 169, 27, 308?

GCD of 399, 169, 27, 308 is 1

2. Where do I get the detailed procedure to find GCD of 399, 169, 27, 308?

You can find a detailed procedure to find GCD of 399, 169, 27, 308 on our page.

3. How to find GCD of 399, 169, 27, 308 on a calculator?

You can find the GCD of 399, 169, 27, 308 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.