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 116, 401, 740, 178 i.e. 1 largest integer that divides all the numbers equally.
GCD of 116, 401, 740, 178 is 1
GCD(116, 401, 740, 178) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 116, 401, 740, 178 is 1
GCD(116, 401, 740, 178) = 1
Given Input numbers are 116, 401, 740, 178
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 116
List of positive integer divisors of 116 that divides 116 without a remainder.
1, 2, 4, 29, 58, 116
Divisors of 401
List of positive integer divisors of 401 that divides 401 without a remainder.
1, 401
Divisors of 740
List of positive integer divisors of 740 that divides 740 without a remainder.
1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740
Divisors of 178
List of positive integer divisors of 178 that divides 178 without a remainder.
1, 2, 89, 178
Greatest Common Divisior
We found the divisors of 116, 401, 740, 178 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 116, 401, 740, 178 is 1.
Therefore, GCD of numbers 116, 401, 740, 178 is 1
Given Input Data is 116, 401, 740, 178
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 116 is 2 x 2 x 29
Prime Factorization of 401 is 401
Prime Factorization of 740 is 2 x 2 x 5 x 37
Prime Factorization of 178 is 2 x 89
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(116, 401) = 46516
GCD(116, 401) = ( 116 x 401 ) / 46516
GCD(116, 401) = 46516 / 46516
GCD(116, 401) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 740
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 740) = 740
GCD(1, 740) = ( 1 x 740 ) / 740
GCD(1, 740) = 740 / 740
GCD(1, 740) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 178
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 178) = 178
GCD(1, 178) = ( 1 x 178 ) / 178
GCD(1, 178) = 178 / 178
GCD(1, 178) = 1
GCD of 116, 401, 740, 178 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 116, 401, 740, 178?
GCD of 116, 401, 740, 178 is 1
2. Where do I get the detailed procedure to find GCD of 116, 401, 740, 178?
You can find a detailed procedure to find GCD of 116, 401, 740, 178 on our page.
3. How to find GCD of 116, 401, 740, 178 on a calculator?
You can find the GCD of 116, 401, 740, 178 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.