GCD of 428, 124, 874, 204 Calculator

Given Input numbers are 428, 124, 874, 204

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

Divisors of 428

List of positive integer divisors of 428 that divides 428 without a remainder.

1, 2, 4, 107, 214, 428

Divisors of 124

List of positive integer divisors of 124 that divides 124 without a remainder.

1, 2, 4, 31, 62, 124

Divisors of 874

List of positive integer divisors of 874 that divides 874 without a remainder.

1, 2, 19, 23, 38, 46, 437, 874

Divisors of 204

List of positive integer divisors of 204 that divides 204 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

Greatest Common Divisior

We found the divisors of 428, 124, 874, 204 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 428, 124, 874, 204 is 2.

Therefore, GCD of numbers 428, 124, 874, 204 is 2

Given Input Data is 428, 124, 874, 204

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

Prime Factorization of 428 is 2 x 2 x 107

Prime Factorization of 124 is 2 x 2 x 31

Prime Factorization of 874 is 2 x 19 x 23

Prime Factorization of 204 is 2 x 2 x 3 x 17

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(428, 124) = 13268

GCD(428, 124) = ( 428 x 124 ) / 13268

GCD(428, 124) = 53072 / 13268

GCD(428, 124) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 874

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

LCM(4, 874) = 1748

GCD(4, 874) = ( 4 x 874 ) / 1748

GCD(4, 874) = 3496 / 1748

GCD(4, 874) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 204

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

LCM(2, 204) = 204

GCD(2, 204) = ( 2 x 204 ) / 204

GCD(2, 204) = 408 / 204

GCD(2, 204) = 2

GCD of 428, 124, 874, 204 is 2

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1. What is the GCD of 428, 124, 874, 204?

GCD of 428, 124, 874, 204 is 2

2. Where do I get the detailed procedure to find GCD of 428, 124, 874, 204?

You can find a detailed procedure to find GCD of 428, 124, 874, 204 on our page.

3. How to find GCD of 428, 124, 874, 204 on a calculator?

You can find the GCD of 428, 124, 874, 204 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.