GCD of 144, 355, 268 Calculator

Given Input numbers are 144, 355, 268

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

Divisors of 144

List of positive integer divisors of 144 that divides 144 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

Divisors of 355

List of positive integer divisors of 355 that divides 355 without a remainder.

1, 5, 71, 355

Divisors of 268

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

1, 2, 4, 67, 134, 268

Greatest Common Divisior

We found the divisors of 144, 355, 268 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 144, 355, 268 is 1.

Therefore, GCD of numbers 144, 355, 268 is 1

Given Input Data is 144, 355, 268

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

Prime Factorization of 144 is 2 x 2 x 2 x 2 x 3 x 3

Prime Factorization of 355 is 5 x 71

Prime Factorization of 268 is 2 x 2 x 67

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(144, 355) = 51120

GCD(144, 355) = ( 144 x 355 ) / 51120

GCD(144, 355) = 51120 / 51120

GCD(144, 355) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 268

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

LCM(1, 268) = 268

GCD(1, 268) = ( 1 x 268 ) / 268

GCD(1, 268) = 268 / 268

GCD(1, 268) = 1

GCD of 144, 355, 268 is 1

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1. What is the GCD of 144, 355, 268?

GCD of 144, 355, 268 is 1

2. Where do I get the detailed procedure to find GCD of 144, 355, 268?

You can find a detailed procedure to find GCD of 144, 355, 268 on our page.

3. How to find GCD of 144, 355, 268 on a calculator?

You can find the GCD of 144, 355, 268 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.