GCD of 260, 178, 48, 242 Calculator

Given Input numbers are 260, 178, 48, 242

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

Divisors of 260

List of positive integer divisors of 260 that divides 260 without a remainder.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

Divisors of 178

List of positive integer divisors of 178 that divides 178 without a remainder.

1, 2, 89, 178

Divisors of 48

List of positive integer divisors of 48 that divides 48 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48

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 260, 178, 48, 242 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 260, 178, 48, 242 is 2.

Therefore, GCD of numbers 260, 178, 48, 242 is 2

Given Input Data is 260, 178, 48, 242

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

Prime Factorization of 260 is 2 x 2 x 5 x 13

Prime Factorization of 178 is 2 x 89

Prime Factorization of 48 is 2 x 2 x 2 x 2 x 3

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(260, 178) = 23140

GCD(260, 178) = ( 260 x 178 ) / 23140

GCD(260, 178) = 46280 / 23140

GCD(260, 178) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 48

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

LCM(2, 48) = 48

GCD(2, 48) = ( 2 x 48 ) / 48

GCD(2, 48) = 96 / 48

GCD(2, 48) = 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 260, 178, 48, 242 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 711, 380, 89, 839
• GCD of 940, 358, 17, 227
• GCD of 439, 686, 38, 788
• GCD of 540, 495, 30, 432
• GCD of 812, 963, 49, 725

1. What is the GCD of 260, 178, 48, 242?

GCD of 260, 178, 48, 242 is 2

2. Where do I get the detailed procedure to find GCD of 260, 178, 48, 242?

You can find a detailed procedure to find GCD of 260, 178, 48, 242 on our page.

3. How to find GCD of 260, 178, 48, 242 on a calculator?

You can find the GCD of 260, 178, 48, 242 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.