GCD of 304, 377, 505, 558 Calculator

Given Input numbers are 304, 377, 505, 558

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

Divisors of 304

List of positive integer divisors of 304 that divides 304 without a remainder.

1, 2, 4, 8, 16, 19, 38, 76, 152, 304

Divisors of 377

List of positive integer divisors of 377 that divides 377 without a remainder.

1, 13, 29, 377

Divisors of 505

List of positive integer divisors of 505 that divides 505 without a remainder.

1, 5, 101, 505

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

Greatest Common Divisior

We found the divisors of 304, 377, 505, 558 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 304, 377, 505, 558 is 1.

Therefore, GCD of numbers 304, 377, 505, 558 is 1

Given Input Data is 304, 377, 505, 558

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

Prime Factorization of 304 is 2 x 2 x 2 x 2 x 19

Prime Factorization of 377 is 13 x 29

Prime Factorization of 505 is 5 x 101

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

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(304, 377) = 114608

GCD(304, 377) = ( 304 x 377 ) / 114608

GCD(304, 377) = 114608 / 114608

GCD(304, 377) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 505

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

LCM(1, 505) = 505

GCD(1, 505) = ( 1 x 505 ) / 505

GCD(1, 505) = 505 / 505

GCD(1, 505) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 558

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

LCM(1, 558) = 558

GCD(1, 558) = ( 1 x 558 ) / 558

GCD(1, 558) = 558 / 558

GCD(1, 558) = 1

GCD of 304, 377, 505, 558 is 1

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1. What is the GCD of 304, 377, 505, 558?

GCD of 304, 377, 505, 558 is 1

2. Where do I get the detailed procedure to find GCD of 304, 377, 505, 558?

You can find a detailed procedure to find GCD of 304, 377, 505, 558 on our page.

3. How to find GCD of 304, 377, 505, 558 on a calculator?

You can find the GCD of 304, 377, 505, 558 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.