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 718, 171, 39, 336 i.e. 1 largest integer that divides all the numbers equally.
GCD of 718, 171, 39, 336 is 1
GCD(718, 171, 39, 336) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 718, 171, 39, 336 is 1
GCD(718, 171, 39, 336) = 1
Given Input numbers are 718, 171, 39, 336
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 718
List of positive integer divisors of 718 that divides 718 without a remainder.
1, 2, 359, 718
Divisors of 171
List of positive integer divisors of 171 that divides 171 without a remainder.
1, 3, 9, 19, 57, 171
Divisors of 39
List of positive integer divisors of 39 that divides 39 without a remainder.
1, 3, 13, 39
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 718, 171, 39, 336 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 718, 171, 39, 336 is 1.
Therefore, GCD of numbers 718, 171, 39, 336 is 1
Given Input Data is 718, 171, 39, 336
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 718 is 2 x 359
Prime Factorization of 171 is 3 x 3 x 19
Prime Factorization of 39 is 3 x 13
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(718, 171) = 122778
GCD(718, 171) = ( 718 x 171 ) / 122778
GCD(718, 171) = 122778 / 122778
GCD(718, 171) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 39
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 39) = 39
GCD(1, 39) = ( 1 x 39 ) / 39
GCD(1, 39) = 39 / 39
GCD(1, 39) = 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 718, 171, 39, 336 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 718, 171, 39, 336?
GCD of 718, 171, 39, 336 is 1
2. Where do I get the detailed procedure to find GCD of 718, 171, 39, 336?
You can find a detailed procedure to find GCD of 718, 171, 39, 336 on our page.
3. How to find GCD of 718, 171, 39, 336 on a calculator?
You can find the GCD of 718, 171, 39, 336 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.