GCD of 269, 230, 41, 564 Calculator

Given Input numbers are 269, 230, 41, 564

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

Divisors of 269

List of positive integer divisors of 269 that divides 269 without a remainder.

1, 269

Divisors of 230

List of positive integer divisors of 230 that divides 230 without a remainder.

1, 2, 5, 10, 23, 46, 115, 230

Divisors of 41

List of positive integer divisors of 41 that divides 41 without a remainder.

1, 41

Divisors of 564

List of positive integer divisors of 564 that divides 564 without a remainder.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

Greatest Common Divisior

We found the divisors of 269, 230, 41, 564 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 269, 230, 41, 564 is 1.

Therefore, GCD of numbers 269, 230, 41, 564 is 1

Given Input Data is 269, 230, 41, 564

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

Prime Factorization of 269 is 269

Prime Factorization of 230 is 2 x 5 x 23

Prime Factorization of 41 is 41

Prime Factorization of 564 is 2 x 2 x 3 x 47

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(269, 230) = 61870

GCD(269, 230) = ( 269 x 230 ) / 61870

GCD(269, 230) = 61870 / 61870

GCD(269, 230) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 41

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

LCM(1, 41) = 41

GCD(1, 41) = ( 1 x 41 ) / 41

GCD(1, 41) = 41 / 41

GCD(1, 41) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 564

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

LCM(1, 564) = 564

GCD(1, 564) = ( 1 x 564 ) / 564

GCD(1, 564) = 564 / 564

GCD(1, 564) = 1

GCD of 269, 230, 41, 564 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 809, 861, 34, 988
• GCD of 285, 588, 46, 313
• GCD of 746, 462, 64, 533
• GCD of 954, 368, 82, 882
• GCD of 881, 553, 74, 702

1. What is the GCD of 269, 230, 41, 564?

GCD of 269, 230, 41, 564 is 1

2. Where do I get the detailed procedure to find GCD of 269, 230, 41, 564?

You can find a detailed procedure to find GCD of 269, 230, 41, 564 on our page.

3. How to find GCD of 269, 230, 41, 564 on a calculator?

You can find the GCD of 269, 230, 41, 564 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.