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 291, 681, 343, 195 i.e. 1 largest integer that divides all the numbers equally.
GCD of 291, 681, 343, 195 is 1
GCD(291, 681, 343, 195) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 291, 681, 343, 195 is 1
GCD(291, 681, 343, 195) = 1
Given Input numbers are 291, 681, 343, 195
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 291
List of positive integer divisors of 291 that divides 291 without a remainder.
1, 3, 97, 291
Divisors of 681
List of positive integer divisors of 681 that divides 681 without a remainder.
1, 3, 227, 681
Divisors of 343
List of positive integer divisors of 343 that divides 343 without a remainder.
1, 7, 49, 343
Divisors of 195
List of positive integer divisors of 195 that divides 195 without a remainder.
1, 3, 5, 13, 15, 39, 65, 195
Greatest Common Divisior
We found the divisors of 291, 681, 343, 195 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 291, 681, 343, 195 is 1.
Therefore, GCD of numbers 291, 681, 343, 195 is 1
Given Input Data is 291, 681, 343, 195
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 291 is 3 x 97
Prime Factorization of 681 is 3 x 227
Prime Factorization of 343 is 7 x 7 x 7
Prime Factorization of 195 is 3 x 5 x 13
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(291, 681) = 66057
GCD(291, 681) = ( 291 x 681 ) / 66057
GCD(291, 681) = 198171 / 66057
GCD(291, 681) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 343
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 343) = 1029
GCD(3, 343) = ( 3 x 343 ) / 1029
GCD(3, 343) = 1029 / 1029
GCD(3, 343) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 195
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 195) = 195
GCD(1, 195) = ( 1 x 195 ) / 195
GCD(1, 195) = 195 / 195
GCD(1, 195) = 1
GCD of 291, 681, 343, 195 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 291, 681, 343, 195?
GCD of 291, 681, 343, 195 is 1
2. Where do I get the detailed procedure to find GCD of 291, 681, 343, 195?
You can find a detailed procedure to find GCD of 291, 681, 343, 195 on our page.
3. How to find GCD of 291, 681, 343, 195 on a calculator?
You can find the GCD of 291, 681, 343, 195 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.