GCD of 104, 962, 908, 228 Calculator

Given Input numbers are 104, 962, 908, 228

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

Divisors of 104

List of positive integer divisors of 104 that divides 104 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104

Divisors of 962

List of positive integer divisors of 962 that divides 962 without a remainder.

1, 2, 13, 26, 37, 74, 481, 962

Divisors of 908

List of positive integer divisors of 908 that divides 908 without a remainder.

1, 2, 4, 227, 454, 908

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 104, 962, 908, 228 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 104, 962, 908, 228 is 2.

Therefore, GCD of numbers 104, 962, 908, 228 is 2

Given Input Data is 104, 962, 908, 228

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

Prime Factorization of 104 is 2 x 2 x 2 x 13

Prime Factorization of 962 is 2 x 13 x 37

Prime Factorization of 908 is 2 x 2 x 227

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

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(104, 962) = 3848

GCD(104, 962) = ( 104 x 962 ) / 3848

GCD(104, 962) = 100048 / 3848

GCD(104, 962) = 26

Step2:

Here we consider the GCD from the above i.e. 26 as first number and the next as 908

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

LCM(26, 908) = 11804

GCD(26, 908) = ( 26 x 908 ) / 11804

GCD(26, 908) = 23608 / 11804

GCD(26, 908) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 228

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

LCM(2, 228) = 228

GCD(2, 228) = ( 2 x 228 ) / 228

GCD(2, 228) = 456 / 228

GCD(2, 228) = 2

GCD of 104, 962, 908, 228 is 2

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1. What is the GCD of 104, 962, 908, 228?

GCD of 104, 962, 908, 228 is 2

2. Where do I get the detailed procedure to find GCD of 104, 962, 908, 228?

You can find a detailed procedure to find GCD of 104, 962, 908, 228 on our page.

3. How to find GCD of 104, 962, 908, 228 on a calculator?

You can find the GCD of 104, 962, 908, 228 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.