GCD of 588, 186, 10, 242 Calculator

Given Input numbers are 588, 186, 10, 242

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

Divisors of 588

List of positive integer divisors of 588 that divides 588 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

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 10

List of positive integer divisors of 10 that divides 10 without a remainder.

1, 2, 5, 10

Divisors of 242

List of positive integer divisors of 242 that divides 242 without a remainder.

1, 2, 11, 22, 121, 242

Greatest Common Divisior

We found the divisors of 588, 186, 10, 242 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 588, 186, 10, 242 is 2.

Therefore, GCD of numbers 588, 186, 10, 242 is 2

Given Input Data is 588, 186, 10, 242

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

Prime Factorization of 588 is 2 x 2 x 3 x 7 x 7

Prime Factorization of 186 is 2 x 3 x 31

Prime Factorization of 10 is 2 x 5

Prime Factorization of 242 is 2 x 11 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(588, 186) = 18228

GCD(588, 186) = ( 588 x 186 ) / 18228

GCD(588, 186) = 109368 / 18228

GCD(588, 186) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 10

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

LCM(6, 10) = 30

GCD(6, 10) = ( 6 x 10 ) / 30

GCD(6, 10) = 60 / 30

GCD(6, 10) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 242

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

LCM(2, 242) = 242

GCD(2, 242) = ( 2 x 242 ) / 242

GCD(2, 242) = 484 / 242

GCD(2, 242) = 2

GCD of 588, 186, 10, 242 is 2

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1. What is the GCD of 588, 186, 10, 242?

GCD of 588, 186, 10, 242 is 2

2. Where do I get the detailed procedure to find GCD of 588, 186, 10, 242?

You can find a detailed procedure to find GCD of 588, 186, 10, 242 on our page.

3. How to find GCD of 588, 186, 10, 242 on a calculator?

You can find the GCD of 588, 186, 10, 242 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.