GCD of 248, 592, 186, 594 Calculator

Given Input numbers are 248, 592, 186, 594

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

Divisors of 248

List of positive integer divisors of 248 that divides 248 without a remainder.

1, 2, 4, 8, 31, 62, 124, 248

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 186

List of positive integer divisors of 186 that divides 186 without a remainder.

1, 2, 3, 6, 31, 62, 93, 186

Divisors of 594

List of positive integer divisors of 594 that divides 594 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594

Greatest Common Divisior

We found the divisors of 248, 592, 186, 594 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 248, 592, 186, 594 is 2.

Therefore, GCD of numbers 248, 592, 186, 594 is 2

Given Input Data is 248, 592, 186, 594

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

Prime Factorization of 248 is 2 x 2 x 2 x 31

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

Prime Factorization of 186 is 2 x 3 x 31

Prime Factorization of 594 is 2 x 3 x 3 x 3 x 11

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(248, 592) = 18352

GCD(248, 592) = ( 248 x 592 ) / 18352

GCD(248, 592) = 146816 / 18352

GCD(248, 592) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 186

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

LCM(8, 186) = 744

GCD(8, 186) = ( 8 x 186 ) / 744

GCD(8, 186) = 1488 / 744

GCD(8, 186) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 594

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

LCM(2, 594) = 594

GCD(2, 594) = ( 2 x 594 ) / 594

GCD(2, 594) = 1188 / 594

GCD(2, 594) = 2

GCD of 248, 592, 186, 594 is 2

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1. What is the GCD of 248, 592, 186, 594?

GCD of 248, 592, 186, 594 is 2

2. Where do I get the detailed procedure to find GCD of 248, 592, 186, 594?

You can find a detailed procedure to find GCD of 248, 592, 186, 594 on our page.

3. How to find GCD of 248, 592, 186, 594 on a calculator?

You can find the GCD of 248, 592, 186, 594 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.