GCD of 928, 459, 993, 307 Calculator

Given Input numbers are 928, 459, 993, 307

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

Divisors of 928

List of positive integer divisors of 928 that divides 928 without a remainder.

1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928

Divisors of 459

List of positive integer divisors of 459 that divides 459 without a remainder.

1, 3, 9, 17, 27, 51, 153, 459

Divisors of 993

List of positive integer divisors of 993 that divides 993 without a remainder.

1, 3, 331, 993

Divisors of 307

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

1, 307

Greatest Common Divisior

We found the divisors of 928, 459, 993, 307 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 928, 459, 993, 307 is 1.

Therefore, GCD of numbers 928, 459, 993, 307 is 1

Given Input Data is 928, 459, 993, 307

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

Prime Factorization of 928 is 2 x 2 x 2 x 2 x 2 x 29

Prime Factorization of 459 is 3 x 3 x 3 x 17

Prime Factorization of 993 is 3 x 331

Prime Factorization of 307 is 307

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(928, 459) = 425952

GCD(928, 459) = ( 928 x 459 ) / 425952

GCD(928, 459) = 425952 / 425952

GCD(928, 459) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 993

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

LCM(1, 993) = 993

GCD(1, 993) = ( 1 x 993 ) / 993

GCD(1, 993) = 993 / 993

GCD(1, 993) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 307

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

LCM(1, 307) = 307

GCD(1, 307) = ( 1 x 307 ) / 307

GCD(1, 307) = 307 / 307

GCD(1, 307) = 1

GCD of 928, 459, 993, 307 is 1

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1. What is the GCD of 928, 459, 993, 307?

GCD of 928, 459, 993, 307 is 1

2. Where do I get the detailed procedure to find GCD of 928, 459, 993, 307?

You can find a detailed procedure to find GCD of 928, 459, 993, 307 on our page.

3. How to find GCD of 928, 459, 993, 307 on a calculator?

You can find the GCD of 928, 459, 993, 307 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.