GCD of 565, 304, 348, 999 Calculator

Given Input numbers are 565, 304, 348, 999

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

Divisors of 565

List of positive integer divisors of 565 that divides 565 without a remainder.

1, 5, 113, 565

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 348

List of positive integer divisors of 348 that divides 348 without a remainder.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

Divisors of 999

List of positive integer divisors of 999 that divides 999 without a remainder.

1, 3, 9, 27, 37, 111, 333, 999

Greatest Common Divisior

We found the divisors of 565, 304, 348, 999 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 565, 304, 348, 999 is 1.

Therefore, GCD of numbers 565, 304, 348, 999 is 1

Given Input Data is 565, 304, 348, 999

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

Prime Factorization of 565 is 5 x 113

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

Prime Factorization of 348 is 2 x 2 x 3 x 29

Prime Factorization of 999 is 3 x 3 x 3 x 37

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(565, 304) = 171760

GCD(565, 304) = ( 565 x 304 ) / 171760

GCD(565, 304) = 171760 / 171760

GCD(565, 304) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 348

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

LCM(1, 348) = 348

GCD(1, 348) = ( 1 x 348 ) / 348

GCD(1, 348) = 348 / 348

GCD(1, 348) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 999

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

LCM(1, 999) = 999

GCD(1, 999) = ( 1 x 999 ) / 999

GCD(1, 999) = 999 / 999

GCD(1, 999) = 1

GCD of 565, 304, 348, 999 is 1

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• GCD of 276, 686, 392, 942
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1. What is the GCD of 565, 304, 348, 999?

GCD of 565, 304, 348, 999 is 1

2. Where do I get the detailed procedure to find GCD of 565, 304, 348, 999?

You can find a detailed procedure to find GCD of 565, 304, 348, 999 on our page.

3. How to find GCD of 565, 304, 348, 999 on a calculator?

You can find the GCD of 565, 304, 348, 999 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.