GCD of 404, 228, 544, 974 Calculator

Given Input numbers are 404, 228, 544, 974

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

Divisors of 404

List of positive integer divisors of 404 that divides 404 without a remainder.

1, 2, 4, 101, 202, 404

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 544

List of positive integer divisors of 544 that divides 544 without a remainder.

1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544

Divisors of 974

List of positive integer divisors of 974 that divides 974 without a remainder.

1, 2, 487, 974

Greatest Common Divisior

We found the divisors of 404, 228, 544, 974 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 404, 228, 544, 974 is 2.

Therefore, GCD of numbers 404, 228, 544, 974 is 2

Given Input Data is 404, 228, 544, 974

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

Prime Factorization of 404 is 2 x 2 x 101

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

Prime Factorization of 544 is 2 x 2 x 2 x 2 x 2 x 17

Prime Factorization of 974 is 2 x 487

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(404, 228) = 23028

GCD(404, 228) = ( 404 x 228 ) / 23028

GCD(404, 228) = 92112 / 23028

GCD(404, 228) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 544

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

LCM(4, 544) = 544

GCD(4, 544) = ( 4 x 544 ) / 544

GCD(4, 544) = 2176 / 544

GCD(4, 544) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 974

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

LCM(4, 974) = 1948

GCD(4, 974) = ( 4 x 974 ) / 1948

GCD(4, 974) = 3896 / 1948

GCD(4, 974) = 2

GCD of 404, 228, 544, 974 is 2

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1. What is the GCD of 404, 228, 544, 974?

GCD of 404, 228, 544, 974 is 2

2. Where do I get the detailed procedure to find GCD of 404, 228, 544, 974?

You can find a detailed procedure to find GCD of 404, 228, 544, 974 on our page.

3. How to find GCD of 404, 228, 544, 974 on a calculator?

You can find the GCD of 404, 228, 544, 974 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.