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 35, 680, 191, 324 i.e. 1 largest integer that divides all the numbers equally.
GCD of 35, 680, 191, 324 is 1
GCD(35, 680, 191, 324) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 35, 680, 191, 324 is 1
GCD(35, 680, 191, 324) = 1
Given Input numbers are 35, 680, 191, 324
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 35
List of positive integer divisors of 35 that divides 35 without a remainder.
1, 5, 7, 35
Divisors of 680
List of positive integer divisors of 680 that divides 680 without a remainder.
1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
Divisors of 191
List of positive integer divisors of 191 that divides 191 without a remainder.
1, 191
Divisors of 324
List of positive integer divisors of 324 that divides 324 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324
Greatest Common Divisior
We found the divisors of 35, 680, 191, 324 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 35, 680, 191, 324 is 1.
Therefore, GCD of numbers 35, 680, 191, 324 is 1
Given Input Data is 35, 680, 191, 324
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 35 is 5 x 7
Prime Factorization of 680 is 2 x 2 x 2 x 5 x 17
Prime Factorization of 191 is 191
Prime Factorization of 324 is 2 x 2 x 3 x 3 x 3 x 3
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(35, 680) = 4760
GCD(35, 680) = ( 35 x 680 ) / 4760
GCD(35, 680) = 23800 / 4760
GCD(35, 680) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 191
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 191) = 955
GCD(5, 191) = ( 5 x 191 ) / 955
GCD(5, 191) = 955 / 955
GCD(5, 191) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 324
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 324) = 324
GCD(1, 324) = ( 1 x 324 ) / 324
GCD(1, 324) = 324 / 324
GCD(1, 324) = 1
GCD of 35, 680, 191, 324 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 35, 680, 191, 324?
GCD of 35, 680, 191, 324 is 1
2. Where do I get the detailed procedure to find GCD of 35, 680, 191, 324?
You can find a detailed procedure to find GCD of 35, 680, 191, 324 on our page.
3. How to find GCD of 35, 680, 191, 324 on a calculator?
You can find the GCD of 35, 680, 191, 324 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.