GCD of 34, 317, 995, 144 Calculator

Given Input numbers are 34, 317, 995, 144

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

Divisors of 34

List of positive integer divisors of 34 that divides 34 without a remainder.

1, 2, 17, 34

Divisors of 317

List of positive integer divisors of 317 that divides 317 without a remainder.

1, 317

Divisors of 995

List of positive integer divisors of 995 that divides 995 without a remainder.

1, 5, 199, 995

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

Greatest Common Divisior

We found the divisors of 34, 317, 995, 144 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 34, 317, 995, 144 is 1.

Therefore, GCD of numbers 34, 317, 995, 144 is 1

Given Input Data is 34, 317, 995, 144

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

Prime Factorization of 34 is 2 x 17

Prime Factorization of 317 is 317

Prime Factorization of 995 is 5 x 199

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

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(34, 317) = 10778

GCD(34, 317) = ( 34 x 317 ) / 10778

GCD(34, 317) = 10778 / 10778

GCD(34, 317) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 995

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

LCM(1, 995) = 995

GCD(1, 995) = ( 1 x 995 ) / 995

GCD(1, 995) = 995 / 995

GCD(1, 995) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 144

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

LCM(1, 144) = 144

GCD(1, 144) = ( 1 x 144 ) / 144

GCD(1, 144) = 144 / 144

GCD(1, 144) = 1

GCD of 34, 317, 995, 144 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 40, 339, 510, 388
• GCD of 40, 615, 144, 966
• GCD of 53, 566, 288, 591
• GCD of 74, 572, 739, 890
• GCD of 47, 913, 944, 874

1. What is the GCD of 34, 317, 995, 144?

GCD of 34, 317, 995, 144 is 1

2. Where do I get the detailed procedure to find GCD of 34, 317, 995, 144?

You can find a detailed procedure to find GCD of 34, 317, 995, 144 on our page.

3. How to find GCD of 34, 317, 995, 144 on a calculator?

You can find the GCD of 34, 317, 995, 144 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.