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 680, 361, 216, 131 i.e. 1 largest integer that divides all the numbers equally.
GCD of 680, 361, 216, 131 is 1
GCD(680, 361, 216, 131) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 680, 361, 216, 131 is 1
GCD(680, 361, 216, 131) = 1
Given Input numbers are 680, 361, 216, 131
To find the GCD of numbers using factoring list out all the divisors of each number
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 361
List of positive integer divisors of 361 that divides 361 without a remainder.
1, 19, 361
Divisors of 216
List of positive integer divisors of 216 that divides 216 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
Divisors of 131
List of positive integer divisors of 131 that divides 131 without a remainder.
1, 131
Greatest Common Divisior
We found the divisors of 680, 361, 216, 131 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 680, 361, 216, 131 is 1.
Therefore, GCD of numbers 680, 361, 216, 131 is 1
Given Input Data is 680, 361, 216, 131
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 680 is 2 x 2 x 2 x 5 x 17
Prime Factorization of 361 is 19 x 19
Prime Factorization of 216 is 2 x 2 x 2 x 3 x 3 x 3
Prime Factorization of 131 is 131
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(680, 361) = 245480
GCD(680, 361) = ( 680 x 361 ) / 245480
GCD(680, 361) = 245480 / 245480
GCD(680, 361) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 216
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 216) = 216
GCD(1, 216) = ( 1 x 216 ) / 216
GCD(1, 216) = 216 / 216
GCD(1, 216) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 131
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 131) = 131
GCD(1, 131) = ( 1 x 131 ) / 131
GCD(1, 131) = 131 / 131
GCD(1, 131) = 1
GCD of 680, 361, 216, 131 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 680, 361, 216, 131?
GCD of 680, 361, 216, 131 is 1
2. Where do I get the detailed procedure to find GCD of 680, 361, 216, 131?
You can find a detailed procedure to find GCD of 680, 361, 216, 131 on our page.
3. How to find GCD of 680, 361, 216, 131 on a calculator?
You can find the GCD of 680, 361, 216, 131 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.