GCD of 564, 290, 71, 233 Calculator

Given Input numbers are 564, 290, 71, 233

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

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

Divisors of 290

List of positive integer divisors of 290 that divides 290 without a remainder.

1, 2, 5, 10, 29, 58, 145, 290

Divisors of 71

List of positive integer divisors of 71 that divides 71 without a remainder.

1, 71

Divisors of 233

List of positive integer divisors of 233 that divides 233 without a remainder.

1, 233

Greatest Common Divisior

We found the divisors of 564, 290, 71, 233 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 564, 290, 71, 233 is 1.

Therefore, GCD of numbers 564, 290, 71, 233 is 1

Given Input Data is 564, 290, 71, 233

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

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

Prime Factorization of 290 is 2 x 5 x 29

Prime Factorization of 71 is 71

Prime Factorization of 233 is 233

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(564, 290) = 81780

GCD(564, 290) = ( 564 x 290 ) / 81780

GCD(564, 290) = 163560 / 81780

GCD(564, 290) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 71

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

LCM(2, 71) = 142

GCD(2, 71) = ( 2 x 71 ) / 142

GCD(2, 71) = 142 / 142

GCD(2, 71) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 233

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

LCM(1, 233) = 233

GCD(1, 233) = ( 1 x 233 ) / 233

GCD(1, 233) = 233 / 233

GCD(1, 233) = 1

GCD of 564, 290, 71, 233 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 824, 220, 78, 860
• GCD of 826, 343, 84, 848
• GCD of 840, 777, 71, 277
• GCD of 905, 114, 21, 637
• GCD of 227, 369, 38, 328

1. What is the GCD of 564, 290, 71, 233?

GCD of 564, 290, 71, 233 is 1

2. Where do I get the detailed procedure to find GCD of 564, 290, 71, 233?

You can find a detailed procedure to find GCD of 564, 290, 71, 233 on our page.

3. How to find GCD of 564, 290, 71, 233 on a calculator?

You can find the GCD of 564, 290, 71, 233 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.