GCD of 304, 377, 23, 991 Calculator

Given Input numbers are 304, 377, 23, 991

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 23

List of positive integer divisors of 23 that divides 23 without a remainder.

1, 23

Divisors of 991

List of positive integer divisors of 991 that divides 991 without a remainder.

1, 991

Greatest Common Divisior

We found the divisors of 304, 377, 23, 991 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 304, 377, 23, 991 is 1.

Therefore, GCD of numbers 304, 377, 23, 991 is 1

Given Input Data is 304, 377, 23, 991

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 23 is 23

Prime Factorization of 991 is 991

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 23

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

LCM(1, 23) = 23

GCD(1, 23) = ( 1 x 23 ) / 23

GCD(1, 23) = 23 / 23

GCD(1, 23) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 991

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

LCM(1, 991) = 991

GCD(1, 991) = ( 1 x 991 ) / 991

GCD(1, 991) = 991 / 991

GCD(1, 991) = 1

GCD of 304, 377, 23, 991 is 1

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1. What is the GCD of 304, 377, 23, 991?

GCD of 304, 377, 23, 991 is 1

2. Where do I get the detailed procedure to find GCD of 304, 377, 23, 991?

You can find a detailed procedure to find GCD of 304, 377, 23, 991 on our page.

3. How to find GCD of 304, 377, 23, 991 on a calculator?

You can find the GCD of 304, 377, 23, 991 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.