GCD of 980, 205, 594, 228 Calculator

Given Input numbers are 980, 205, 594, 228

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

Divisors of 980

List of positive integer divisors of 980 that divides 980 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980

Divisors of 205

List of positive integer divisors of 205 that divides 205 without a remainder.

1, 5, 41, 205

Divisors of 594

List of positive integer divisors of 594 that divides 594 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594

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

Greatest Common Divisior

We found the divisors of 980, 205, 594, 228 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 980, 205, 594, 228 is 1.

Therefore, GCD of numbers 980, 205, 594, 228 is 1

Given Input Data is 980, 205, 594, 228

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

Prime Factorization of 980 is 2 x 2 x 5 x 7 x 7

Prime Factorization of 205 is 5 x 41

Prime Factorization of 594 is 2 x 3 x 3 x 3 x 11

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

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(980, 205) = 40180

GCD(980, 205) = ( 980 x 205 ) / 40180

GCD(980, 205) = 200900 / 40180

GCD(980, 205) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 594

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

LCM(5, 594) = 2970

GCD(5, 594) = ( 5 x 594 ) / 2970

GCD(5, 594) = 2970 / 2970

GCD(5, 594) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 228

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

LCM(1, 228) = 228

GCD(1, 228) = ( 1 x 228 ) / 228

GCD(1, 228) = 228 / 228

GCD(1, 228) = 1

GCD of 980, 205, 594, 228 is 1

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1. What is the GCD of 980, 205, 594, 228?

GCD of 980, 205, 594, 228 is 1

2. Where do I get the detailed procedure to find GCD of 980, 205, 594, 228?

You can find a detailed procedure to find GCD of 980, 205, 594, 228 on our page.

3. How to find GCD of 980, 205, 594, 228 on a calculator?

You can find the GCD of 980, 205, 594, 228 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.