GCD of 365, 558, 679, 305 Calculator

Given Input numbers are 365, 558, 679, 305

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

Divisors of 365

List of positive integer divisors of 365 that divides 365 without a remainder.

1, 5, 73, 365

Divisors of 558

List of positive integer divisors of 558 that divides 558 without a remainder.

1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558

Divisors of 679

List of positive integer divisors of 679 that divides 679 without a remainder.

1, 7, 97, 679

Divisors of 305

List of positive integer divisors of 305 that divides 305 without a remainder.

1, 5, 61, 305

Greatest Common Divisior

We found the divisors of 365, 558, 679, 305 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 365, 558, 679, 305 is 1.

Therefore, GCD of numbers 365, 558, 679, 305 is 1

Given Input Data is 365, 558, 679, 305

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

Prime Factorization of 365 is 5 x 73

Prime Factorization of 558 is 2 x 3 x 3 x 31

Prime Factorization of 679 is 7 x 97

Prime Factorization of 305 is 5 x 61

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(365, 558) = 203670

GCD(365, 558) = ( 365 x 558 ) / 203670

GCD(365, 558) = 203670 / 203670

GCD(365, 558) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 679

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

LCM(1, 679) = 679

GCD(1, 679) = ( 1 x 679 ) / 679

GCD(1, 679) = 679 / 679

GCD(1, 679) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 305

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

LCM(1, 305) = 305

GCD(1, 305) = ( 1 x 305 ) / 305

GCD(1, 305) = 305 / 305

GCD(1, 305) = 1

GCD of 365, 558, 679, 305 is 1

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1. What is the GCD of 365, 558, 679, 305?

GCD of 365, 558, 679, 305 is 1

2. Where do I get the detailed procedure to find GCD of 365, 558, 679, 305?

You can find a detailed procedure to find GCD of 365, 558, 679, 305 on our page.

3. How to find GCD of 365, 558, 679, 305 on a calculator?

You can find the GCD of 365, 558, 679, 305 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.