GCD of 580, 688, 24, 226 Calculator

Given Input numbers are 580, 688, 24, 226

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

Divisors of 580

List of positive integer divisors of 580 that divides 580 without a remainder.

1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

Divisors of 688

List of positive integer divisors of 688 that divides 688 without a remainder.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

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 226

List of positive integer divisors of 226 that divides 226 without a remainder.

1, 2, 113, 226

Greatest Common Divisior

We found the divisors of 580, 688, 24, 226 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 580, 688, 24, 226 is 2.

Therefore, GCD of numbers 580, 688, 24, 226 is 2

Given Input Data is 580, 688, 24, 226

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

Prime Factorization of 580 is 2 x 2 x 5 x 29

Prime Factorization of 688 is 2 x 2 x 2 x 2 x 43

Prime Factorization of 24 is 2 x 2 x 2 x 3

Prime Factorization of 226 is 2 x 113

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(580, 688) = 99760

GCD(580, 688) = ( 580 x 688 ) / 99760

GCD(580, 688) = 399040 / 99760

GCD(580, 688) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 24

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

LCM(4, 24) = 24

GCD(4, 24) = ( 4 x 24 ) / 24

GCD(4, 24) = 96 / 24

GCD(4, 24) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 226

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

LCM(4, 226) = 452

GCD(4, 226) = ( 4 x 226 ) / 452

GCD(4, 226) = 904 / 452

GCD(4, 226) = 2

GCD of 580, 688, 24, 226 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 655, 679, 46, 925
• GCD of 226, 197, 41, 123
• GCD of 921, 960, 86, 873
• GCD of 284, 128, 39, 362
• GCD of 904, 370, 27, 552

1. What is the GCD of 580, 688, 24, 226?

GCD of 580, 688, 24, 226 is 2

2. Where do I get the detailed procedure to find GCD of 580, 688, 24, 226?

You can find a detailed procedure to find GCD of 580, 688, 24, 226 on our page.

3. How to find GCD of 580, 688, 24, 226 on a calculator?

You can find the GCD of 580, 688, 24, 226 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.