GCD of 565, 304, 24, 271 Calculator

Given Input numbers are 565, 304, 24, 271

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 24

List of positive integer divisors of 24 that divides 24 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24

Divisors of 271

List of positive integer divisors of 271 that divides 271 without a remainder.

1, 271

Greatest Common Divisior

We found the divisors of 565, 304, 24, 271 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 565, 304, 24, 271 is 1.

Therefore, GCD of numbers 565, 304, 24, 271 is 1

Given Input Data is 565, 304, 24, 271

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 24 is 2 x 2 x 2 x 3

Prime Factorization of 271 is 271

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 24

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

LCM(1, 24) = 24

GCD(1, 24) = ( 1 x 24 ) / 24

GCD(1, 24) = 24 / 24

GCD(1, 24) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 271

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

LCM(1, 271) = 271

GCD(1, 271) = ( 1 x 271 ) / 271

GCD(1, 271) = 271 / 271

GCD(1, 271) = 1

GCD of 565, 304, 24, 271 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 793, 144, 52, 913
• GCD of 429, 394, 45, 648
• GCD of 656, 878, 67, 634
• GCD of 141, 535, 44, 267
• GCD of 510, 156, 16, 636

1. What is the GCD of 565, 304, 24, 271?

GCD of 565, 304, 24, 271 is 1

2. Where do I get the detailed procedure to find GCD of 565, 304, 24, 271?

You can find a detailed procedure to find GCD of 565, 304, 24, 271 on our page.

3. How to find GCD of 565, 304, 24, 271 on a calculator?

You can find the GCD of 565, 304, 24, 271 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.