GCD of 30, 872, 898, 124 Calculator

Given Input numbers are 30, 872, 898, 124

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

Divisors of 30

List of positive integer divisors of 30 that divides 30 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30

Divisors of 872

List of positive integer divisors of 872 that divides 872 without a remainder.

1, 2, 4, 8, 109, 218, 436, 872

Divisors of 898

List of positive integer divisors of 898 that divides 898 without a remainder.

1, 2, 449, 898

Divisors of 124

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

1, 2, 4, 31, 62, 124

Greatest Common Divisior

We found the divisors of 30, 872, 898, 124 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 30, 872, 898, 124 is 2.

Therefore, GCD of numbers 30, 872, 898, 124 is 2

Given Input Data is 30, 872, 898, 124

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

Prime Factorization of 30 is 2 x 3 x 5

Prime Factorization of 872 is 2 x 2 x 2 x 109

Prime Factorization of 898 is 2 x 449

Prime Factorization of 124 is 2 x 2 x 31

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(30, 872) = 13080

GCD(30, 872) = ( 30 x 872 ) / 13080

GCD(30, 872) = 26160 / 13080

GCD(30, 872) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 898

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

LCM(2, 898) = 898

GCD(2, 898) = ( 2 x 898 ) / 898

GCD(2, 898) = 1796 / 898

GCD(2, 898) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 124

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

LCM(2, 124) = 124

GCD(2, 124) = ( 2 x 124 ) / 124

GCD(2, 124) = 248 / 124

GCD(2, 124) = 2

GCD of 30, 872, 898, 124 is 2

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1. What is the GCD of 30, 872, 898, 124?

GCD of 30, 872, 898, 124 is 2

2. Where do I get the detailed procedure to find GCD of 30, 872, 898, 124?

You can find a detailed procedure to find GCD of 30, 872, 898, 124 on our page.

3. How to find GCD of 30, 872, 898, 124 on a calculator?

You can find the GCD of 30, 872, 898, 124 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.