GCD of 618, 228, 592, 938 Calculator

Given Input numbers are 618, 228, 592, 938

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

Divisors of 618

List of positive integer divisors of 618 that divides 618 without a remainder.

1, 2, 3, 6, 103, 206, 309, 618

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 592

List of positive integer divisors of 592 that divides 592 without a remainder.

1, 2, 4, 8, 16, 37, 74, 148, 296, 592

Divisors of 938

List of positive integer divisors of 938 that divides 938 without a remainder.

1, 2, 7, 14, 67, 134, 469, 938

Greatest Common Divisior

We found the divisors of 618, 228, 592, 938 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 618, 228, 592, 938 is 2.

Therefore, GCD of numbers 618, 228, 592, 938 is 2

Given Input Data is 618, 228, 592, 938

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

Prime Factorization of 618 is 2 x 3 x 103

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

Prime Factorization of 592 is 2 x 2 x 2 x 2 x 37

Prime Factorization of 938 is 2 x 7 x 67

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(618, 228) = 23484

GCD(618, 228) = ( 618 x 228 ) / 23484

GCD(618, 228) = 140904 / 23484

GCD(618, 228) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 592

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

LCM(6, 592) = 1776

GCD(6, 592) = ( 6 x 592 ) / 1776

GCD(6, 592) = 3552 / 1776

GCD(6, 592) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 938

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

LCM(2, 938) = 938

GCD(2, 938) = ( 2 x 938 ) / 938

GCD(2, 938) = 1876 / 938

GCD(2, 938) = 2

GCD of 618, 228, 592, 938 is 2

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1. What is the GCD of 618, 228, 592, 938?

GCD of 618, 228, 592, 938 is 2

2. Where do I get the detailed procedure to find GCD of 618, 228, 592, 938?

You can find a detailed procedure to find GCD of 618, 228, 592, 938 on our page.

3. How to find GCD of 618, 228, 592, 938 on a calculator?

You can find the GCD of 618, 228, 592, 938 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.