GCD of 268, 642, 18, 241 Calculator

Given Input numbers are 268, 642, 18, 241

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

Divisors of 268

List of positive integer divisors of 268 that divides 268 without a remainder.

1, 2, 4, 67, 134, 268

Divisors of 642

List of positive integer divisors of 642 that divides 642 without a remainder.

1, 2, 3, 6, 107, 214, 321, 642

Divisors of 18

List of positive integer divisors of 18 that divides 18 without a remainder.

1, 2, 3, 6, 9, 18

Divisors of 241

List of positive integer divisors of 241 that divides 241 without a remainder.

1, 241

Greatest Common Divisior

We found the divisors of 268, 642, 18, 241 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 268, 642, 18, 241 is 1.

Therefore, GCD of numbers 268, 642, 18, 241 is 1

Given Input Data is 268, 642, 18, 241

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

Prime Factorization of 268 is 2 x 2 x 67

Prime Factorization of 642 is 2 x 3 x 107

Prime Factorization of 18 is 2 x 3 x 3

Prime Factorization of 241 is 241

The above numbers do not have any common prime factor. So GCD is 1

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(268, 642) = 86028

GCD(268, 642) = ( 268 x 642 ) / 86028

GCD(268, 642) = 172056 / 86028

GCD(268, 642) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 18

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

LCM(2, 18) = 18

GCD(2, 18) = ( 2 x 18 ) / 18

GCD(2, 18) = 36 / 18

GCD(2, 18) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 241

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

LCM(2, 241) = 482

GCD(2, 241) = ( 2 x 241 ) / 482

GCD(2, 241) = 482 / 482

GCD(2, 241) = 1

GCD of 268, 642, 18, 241 is 1

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• GCD of 251, 991, 75, 909
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1. What is the GCD of 268, 642, 18, 241?

GCD of 268, 642, 18, 241 is 1

2. Where do I get the detailed procedure to find GCD of 268, 642, 18, 241?

You can find a detailed procedure to find GCD of 268, 642, 18, 241 on our page.

3. How to find GCD of 268, 642, 18, 241 on a calculator?

You can find the GCD of 268, 642, 18, 241 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.