GCD of 68, 486, 748, 242 Calculator

Given Input numbers are 68, 486, 748, 242

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

Divisors of 68

List of positive integer divisors of 68 that divides 68 without a remainder.

1, 2, 4, 17, 34, 68

Divisors of 486

List of positive integer divisors of 486 that divides 486 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486

Divisors of 748

List of positive integer divisors of 748 that divides 748 without a remainder.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

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 68, 486, 748, 242 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 68, 486, 748, 242 is 2.

Therefore, GCD of numbers 68, 486, 748, 242 is 2

Given Input Data is 68, 486, 748, 242

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

Prime Factorization of 68 is 2 x 2 x 17

Prime Factorization of 486 is 2 x 3 x 3 x 3 x 3 x 3

Prime Factorization of 748 is 2 x 2 x 11 x 17

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(68, 486) = 16524

GCD(68, 486) = ( 68 x 486 ) / 16524

GCD(68, 486) = 33048 / 16524

GCD(68, 486) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 748

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

LCM(2, 748) = 748

GCD(2, 748) = ( 2 x 748 ) / 748

GCD(2, 748) = 1496 / 748

GCD(2, 748) = 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 68, 486, 748, 242 is 2

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1. What is the GCD of 68, 486, 748, 242?

GCD of 68, 486, 748, 242 is 2

2. Where do I get the detailed procedure to find GCD of 68, 486, 748, 242?

You can find a detailed procedure to find GCD of 68, 486, 748, 242 on our page.

3. How to find GCD of 68, 486, 748, 242 on a calculator?

You can find the GCD of 68, 486, 748, 242 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.