GCD of 307, 614, 178, 809 Calculator

Given Input numbers are 307, 614, 178, 809

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

Divisors of 307

List of positive integer divisors of 307 that divides 307 without a remainder.

1, 307

Divisors of 614

List of positive integer divisors of 614 that divides 614 without a remainder.

1, 2, 307, 614

Divisors of 178

List of positive integer divisors of 178 that divides 178 without a remainder.

1, 2, 89, 178

Divisors of 809

List of positive integer divisors of 809 that divides 809 without a remainder.

1, 809

Greatest Common Divisior

We found the divisors of 307, 614, 178, 809 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 307, 614, 178, 809 is 1.

Therefore, GCD of numbers 307, 614, 178, 809 is 1

Given Input Data is 307, 614, 178, 809

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

Prime Factorization of 307 is 307

Prime Factorization of 614 is 2 x 307

Prime Factorization of 178 is 2 x 89

Prime Factorization of 809 is 809

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(307, 614) = 614

GCD(307, 614) = ( 307 x 614 ) / 614

GCD(307, 614) = 188498 / 614

GCD(307, 614) = 307

Step2:

Here we consider the GCD from the above i.e. 307 as first number and the next as 178

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

LCM(307, 178) = 54646

GCD(307, 178) = ( 307 x 178 ) / 54646

GCD(307, 178) = 54646 / 54646

GCD(307, 178) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 809

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

LCM(1, 809) = 809

GCD(1, 809) = ( 1 x 809 ) / 809

GCD(1, 809) = 809 / 809

GCD(1, 809) = 1

GCD of 307, 614, 178, 809 is 1

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1. What is the GCD of 307, 614, 178, 809?

GCD of 307, 614, 178, 809 is 1

2. Where do I get the detailed procedure to find GCD of 307, 614, 178, 809?

You can find a detailed procedure to find GCD of 307, 614, 178, 809 on our page.

3. How to find GCD of 307, 614, 178, 809 on a calculator?

You can find the GCD of 307, 614, 178, 809 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.