GCD of 144, 617, 308, 254 Calculator

Given Input numbers are 144, 617, 308, 254

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 617

List of positive integer divisors of 617 that divides 617 without a remainder.

1, 617

Divisors of 308

List of positive integer divisors of 308 that divides 308 without a remainder.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

Divisors of 254

List of positive integer divisors of 254 that divides 254 without a remainder.

1, 2, 127, 254

Greatest Common Divisior

We found the divisors of 144, 617, 308, 254 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 144, 617, 308, 254 is 1.

Therefore, GCD of numbers 144, 617, 308, 254 is 1

Given Input Data is 144, 617, 308, 254

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 617 is 617

Prime Factorization of 308 is 2 x 2 x 7 x 11

Prime Factorization of 254 is 2 x 127

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, 617) = 88848

GCD(144, 617) = ( 144 x 617 ) / 88848

GCD(144, 617) = 88848 / 88848

GCD(144, 617) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 308

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

LCM(1, 308) = 308

GCD(1, 308) = ( 1 x 308 ) / 308

GCD(1, 308) = 308 / 308

GCD(1, 308) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 254

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

LCM(1, 254) = 254

GCD(1, 254) = ( 1 x 254 ) / 254

GCD(1, 254) = 254 / 254

GCD(1, 254) = 1

GCD of 144, 617, 308, 254 is 1

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1. What is the GCD of 144, 617, 308, 254?

GCD of 144, 617, 308, 254 is 1

2. Where do I get the detailed procedure to find GCD of 144, 617, 308, 254?

You can find a detailed procedure to find GCD of 144, 617, 308, 254 on our page.

3. How to find GCD of 144, 617, 308, 254 on a calculator?

You can find the GCD of 144, 617, 308, 254 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.