GCD of 228, 738, 829, 580 Calculator

Given Input numbers are 228, 738, 829, 580

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

Divisors of 228

List of positive integer divisors of 228 that divides 228 without a remainder.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

Divisors of 738

List of positive integer divisors of 738 that divides 738 without a remainder.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Divisors of 829

List of positive integer divisors of 829 that divides 829 without a remainder.

1, 829

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

Greatest Common Divisior

We found the divisors of 228, 738, 829, 580 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 228, 738, 829, 580 is 1.

Therefore, GCD of numbers 228, 738, 829, 580 is 1

Given Input Data is 228, 738, 829, 580

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

Prime Factorization of 228 is 2 x 2 x 3 x 19

Prime Factorization of 738 is 2 x 3 x 3 x 41

Prime Factorization of 829 is 829

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

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(228, 738) = 28044

GCD(228, 738) = ( 228 x 738 ) / 28044

GCD(228, 738) = 168264 / 28044

GCD(228, 738) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 829

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

LCM(6, 829) = 4974

GCD(6, 829) = ( 6 x 829 ) / 4974

GCD(6, 829) = 4974 / 4974

GCD(6, 829) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 580

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

LCM(1, 580) = 580

GCD(1, 580) = ( 1 x 580 ) / 580

GCD(1, 580) = 580 / 580

GCD(1, 580) = 1

GCD of 228, 738, 829, 580 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 770, 212, 352, 446
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• GCD of 666, 296, 841, 245

1. What is the GCD of 228, 738, 829, 580?

GCD of 228, 738, 829, 580 is 1

2. Where do I get the detailed procedure to find GCD of 228, 738, 829, 580?

You can find a detailed procedure to find GCD of 228, 738, 829, 580 on our page.

3. How to find GCD of 228, 738, 829, 580 on a calculator?

You can find the GCD of 228, 738, 829, 580 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.