GCD of 424, 228, 748, 959 Calculator

Given Input numbers are 424, 228, 748, 959

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

Divisors of 424

List of positive integer divisors of 424 that divides 424 without a remainder.

1, 2, 4, 8, 53, 106, 212, 424

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 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 959

List of positive integer divisors of 959 that divides 959 without a remainder.

1, 7, 137, 959

Greatest Common Divisior

We found the divisors of 424, 228, 748, 959 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 424, 228, 748, 959 is 1.

Therefore, GCD of numbers 424, 228, 748, 959 is 1

Given Input Data is 424, 228, 748, 959

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

Prime Factorization of 424 is 2 x 2 x 2 x 53

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

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

Prime Factorization of 959 is 7 x 137

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(424, 228) = 24168

GCD(424, 228) = ( 424 x 228 ) / 24168

GCD(424, 228) = 96672 / 24168

GCD(424, 228) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 748

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

LCM(4, 748) = 748

GCD(4, 748) = ( 4 x 748 ) / 748

GCD(4, 748) = 2992 / 748

GCD(4, 748) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 959

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

LCM(4, 959) = 3836

GCD(4, 959) = ( 4 x 959 ) / 3836

GCD(4, 959) = 3836 / 3836

GCD(4, 959) = 1

GCD of 424, 228, 748, 959 is 1

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1. What is the GCD of 424, 228, 748, 959?

GCD of 424, 228, 748, 959 is 1

2. Where do I get the detailed procedure to find GCD of 424, 228, 748, 959?

You can find a detailed procedure to find GCD of 424, 228, 748, 959 on our page.

3. How to find GCD of 424, 228, 748, 959 on a calculator?

You can find the GCD of 424, 228, 748, 959 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.