GCD of 327, 414, 308, 869 Calculator

Given Input numbers are 327, 414, 308, 869

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

Divisors of 327

List of positive integer divisors of 327 that divides 327 without a remainder.

1, 3, 109, 327

Divisors of 414

List of positive integer divisors of 414 that divides 414 without a remainder.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

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 869

List of positive integer divisors of 869 that divides 869 without a remainder.

1, 11, 79, 869

Greatest Common Divisior

We found the divisors of 327, 414, 308, 869 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 327, 414, 308, 869 is 1.

Therefore, GCD of numbers 327, 414, 308, 869 is 1

Given Input Data is 327, 414, 308, 869

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

Prime Factorization of 327 is 3 x 109

Prime Factorization of 414 is 2 x 3 x 3 x 23

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

Prime Factorization of 869 is 11 x 79

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(327, 414) = 45126

GCD(327, 414) = ( 327 x 414 ) / 45126

GCD(327, 414) = 135378 / 45126

GCD(327, 414) = 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 869

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

LCM(1, 869) = 869

GCD(1, 869) = ( 1 x 869 ) / 869

GCD(1, 869) = 869 / 869

GCD(1, 869) = 1

GCD of 327, 414, 308, 869 is 1

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1. What is the GCD of 327, 414, 308, 869?

GCD of 327, 414, 308, 869 is 1

2. Where do I get the detailed procedure to find GCD of 327, 414, 308, 869?

You can find a detailed procedure to find GCD of 327, 414, 308, 869 on our page.

3. How to find GCD of 327, 414, 308, 869 on a calculator?

You can find the GCD of 327, 414, 308, 869 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.