Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCD Calculator to determine the Greatest Common Divisor of 34, 317, 995, 144 i.e. 1 largest integer that divides all the numbers equally.
GCD of 34, 317, 995, 144 is 1
GCD(34, 317, 995, 144) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 34, 317, 995, 144 is 1
GCD(34, 317, 995, 144) = 1
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.
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.