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 118, 516, 68, 601 i.e. 1 largest integer that divides all the numbers equally.
GCD of 118, 516, 68, 601 is 1
GCD(118, 516, 68, 601) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 118, 516, 68, 601 is 1
GCD(118, 516, 68, 601) = 1
Given Input numbers are 118, 516, 68, 601
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 118
List of positive integer divisors of 118 that divides 118 without a remainder.
1, 2, 59, 118
Divisors of 516
List of positive integer divisors of 516 that divides 516 without a remainder.
1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516
Divisors of 68
List of positive integer divisors of 68 that divides 68 without a remainder.
1, 2, 4, 17, 34, 68
Divisors of 601
List of positive integer divisors of 601 that divides 601 without a remainder.
1, 601
Greatest Common Divisior
We found the divisors of 118, 516, 68, 601 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 118, 516, 68, 601 is 1.
Therefore, GCD of numbers 118, 516, 68, 601 is 1
Given Input Data is 118, 516, 68, 601
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 118 is 2 x 59
Prime Factorization of 516 is 2 x 2 x 3 x 43
Prime Factorization of 68 is 2 x 2 x 17
Prime Factorization of 601 is 601
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(118, 516) = 30444
GCD(118, 516) = ( 118 x 516 ) / 30444
GCD(118, 516) = 60888 / 30444
GCD(118, 516) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 68
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 68) = 68
GCD(2, 68) = ( 2 x 68 ) / 68
GCD(2, 68) = 136 / 68
GCD(2, 68) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 601
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 601) = 1202
GCD(2, 601) = ( 2 x 601 ) / 1202
GCD(2, 601) = 1202 / 1202
GCD(2, 601) = 1
GCD of 118, 516, 68, 601 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 118, 516, 68, 601?
GCD of 118, 516, 68, 601 is 1
2. Where do I get the detailed procedure to find GCD of 118, 516, 68, 601?
You can find a detailed procedure to find GCD of 118, 516, 68, 601 on our page.
3. How to find GCD of 118, 516, 68, 601 on a calculator?
You can find the GCD of 118, 516, 68, 601 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.