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 72, 191, 361, 677 i.e. 1 largest integer that divides all the numbers equally.
GCD of 72, 191, 361, 677 is 1
GCD(72, 191, 361, 677) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 72, 191, 361, 677 is 1
GCD(72, 191, 361, 677) = 1
Given Input numbers are 72, 191, 361, 677
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 72
List of positive integer divisors of 72 that divides 72 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
Divisors of 191
List of positive integer divisors of 191 that divides 191 without a remainder.
1, 191
Divisors of 361
List of positive integer divisors of 361 that divides 361 without a remainder.
1, 19, 361
Divisors of 677
List of positive integer divisors of 677 that divides 677 without a remainder.
1, 677
Greatest Common Divisior
We found the divisors of 72, 191, 361, 677 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 72, 191, 361, 677 is 1.
Therefore, GCD of numbers 72, 191, 361, 677 is 1
Given Input Data is 72, 191, 361, 677
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3
Prime Factorization of 191 is 191
Prime Factorization of 361 is 19 x 19
Prime Factorization of 677 is 677
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(72, 191) = 13752
GCD(72, 191) = ( 72 x 191 ) / 13752
GCD(72, 191) = 13752 / 13752
GCD(72, 191) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 361
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 361) = 361
GCD(1, 361) = ( 1 x 361 ) / 361
GCD(1, 361) = 361 / 361
GCD(1, 361) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 677
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 677) = 677
GCD(1, 677) = ( 1 x 677 ) / 677
GCD(1, 677) = 677 / 677
GCD(1, 677) = 1
GCD of 72, 191, 361, 677 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 72, 191, 361, 677?
GCD of 72, 191, 361, 677 is 1
2. Where do I get the detailed procedure to find GCD of 72, 191, 361, 677?
You can find a detailed procedure to find GCD of 72, 191, 361, 677 on our page.
3. How to find GCD of 72, 191, 361, 677 on a calculator?
You can find the GCD of 72, 191, 361, 677 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.