GCD of 159, 117, 308, 383 Calculator

Given Input numbers are 159, 117, 308, 383

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

Divisors of 159

List of positive integer divisors of 159 that divides 159 without a remainder.

1, 3, 53, 159

Divisors of 117

List of positive integer divisors of 117 that divides 117 without a remainder.

1, 3, 9, 13, 39, 117

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

Divisors of 383

List of positive integer divisors of 383 that divides 383 without a remainder.

1, 383

Greatest Common Divisior

We found the divisors of 159, 117, 308, 383 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 159, 117, 308, 383 is 1.

Therefore, GCD of numbers 159, 117, 308, 383 is 1

Given Input Data is 159, 117, 308, 383

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

Prime Factorization of 159 is 3 x 53

Prime Factorization of 117 is 3 x 3 x 13

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

Prime Factorization of 383 is 383

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(159, 117) = 6201

GCD(159, 117) = ( 159 x 117 ) / 6201

GCD(159, 117) = 18603 / 6201

GCD(159, 117) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 308

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

LCM(3, 308) = 924

GCD(3, 308) = ( 3 x 308 ) / 924

GCD(3, 308) = 924 / 924

GCD(3, 308) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 383

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

LCM(1, 383) = 383

GCD(1, 383) = ( 1 x 383 ) / 383

GCD(1, 383) = 383 / 383

GCD(1, 383) = 1

GCD of 159, 117, 308, 383 is 1

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1. What is the GCD of 159, 117, 308, 383?

GCD of 159, 117, 308, 383 is 1

2. Where do I get the detailed procedure to find GCD of 159, 117, 308, 383?

You can find a detailed procedure to find GCD of 159, 117, 308, 383 on our page.

3. How to find GCD of 159, 117, 308, 383 on a calculator?

You can find the GCD of 159, 117, 308, 383 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.