GCD of 748, 417, 590, 228 Calculator

Given Input numbers are 748, 417, 590, 228

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

Divisors of 748

List of positive integer divisors of 748 that divides 748 without a remainder.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Divisors of 417

List of positive integer divisors of 417 that divides 417 without a remainder.

1, 3, 139, 417

Divisors of 590

List of positive integer divisors of 590 that divides 590 without a remainder.

1, 2, 5, 10, 59, 118, 295, 590

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 748, 417, 590, 228 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 748, 417, 590, 228 is 1.

Therefore, GCD of numbers 748, 417, 590, 228 is 1

Given Input Data is 748, 417, 590, 228

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

Prime Factorization of 748 is 2 x 2 x 11 x 17

Prime Factorization of 417 is 3 x 139

Prime Factorization of 590 is 2 x 5 x 59

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(748, 417) = 311916

GCD(748, 417) = ( 748 x 417 ) / 311916

GCD(748, 417) = 311916 / 311916

GCD(748, 417) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 590

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

LCM(1, 590) = 590

GCD(1, 590) = ( 1 x 590 ) / 590

GCD(1, 590) = 590 / 590

GCD(1, 590) = 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 748, 417, 590, 228 is 1

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1. What is the GCD of 748, 417, 590, 228?

GCD of 748, 417, 590, 228 is 1

2. Where do I get the detailed procedure to find GCD of 748, 417, 590, 228?

You can find a detailed procedure to find GCD of 748, 417, 590, 228 on our page.

3. How to find GCD of 748, 417, 590, 228 on a calculator?

You can find the GCD of 748, 417, 590, 228 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.