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 39, 272, 115, 336 i.e. 1 largest integer that divides all the numbers equally.
GCD of 39, 272, 115, 336 is 1
GCD(39, 272, 115, 336) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 39, 272, 115, 336 is 1
GCD(39, 272, 115, 336) = 1
Given Input numbers are 39, 272, 115, 336
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 39
List of positive integer divisors of 39 that divides 39 without a remainder.
1, 3, 13, 39
Divisors of 272
List of positive integer divisors of 272 that divides 272 without a remainder.
1, 2, 4, 8, 16, 17, 34, 68, 136, 272
Divisors of 115
List of positive integer divisors of 115 that divides 115 without a remainder.
1, 5, 23, 115
Divisors of 336
List of positive integer divisors of 336 that divides 336 without a remainder.
1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336
Greatest Common Divisior
We found the divisors of 39, 272, 115, 336 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 39, 272, 115, 336 is 1.
Therefore, GCD of numbers 39, 272, 115, 336 is 1
Given Input Data is 39, 272, 115, 336
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 39 is 3 x 13
Prime Factorization of 272 is 2 x 2 x 2 x 2 x 17
Prime Factorization of 115 is 5 x 23
Prime Factorization of 336 is 2 x 2 x 2 x 2 x 3 x 7
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(39, 272) = 10608
GCD(39, 272) = ( 39 x 272 ) / 10608
GCD(39, 272) = 10608 / 10608
GCD(39, 272) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 115
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 115) = 115
GCD(1, 115) = ( 1 x 115 ) / 115
GCD(1, 115) = 115 / 115
GCD(1, 115) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 336
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 336) = 336
GCD(1, 336) = ( 1 x 336 ) / 336
GCD(1, 336) = 336 / 336
GCD(1, 336) = 1
GCD of 39, 272, 115, 336 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 39, 272, 115, 336?
GCD of 39, 272, 115, 336 is 1
2. Where do I get the detailed procedure to find GCD of 39, 272, 115, 336?
You can find a detailed procedure to find GCD of 39, 272, 115, 336 on our page.
3. How to find GCD of 39, 272, 115, 336 on a calculator?
You can find the GCD of 39, 272, 115, 336 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.