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 213, 986, 17, 251 i.e. 1 largest integer that divides all the numbers equally.
GCD of 213, 986, 17, 251 is 1
GCD(213, 986, 17, 251) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 213, 986, 17, 251 is 1
GCD(213, 986, 17, 251) = 1
Given Input numbers are 213, 986, 17, 251
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 213
List of positive integer divisors of 213 that divides 213 without a remainder.
1, 3, 71, 213
Divisors of 986
List of positive integer divisors of 986 that divides 986 without a remainder.
1, 2, 17, 29, 34, 58, 493, 986
Divisors of 17
List of positive integer divisors of 17 that divides 17 without a remainder.
1, 17
Divisors of 251
List of positive integer divisors of 251 that divides 251 without a remainder.
1, 251
Greatest Common Divisior
We found the divisors of 213, 986, 17, 251 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 213, 986, 17, 251 is 1.
Therefore, GCD of numbers 213, 986, 17, 251 is 1
Given Input Data is 213, 986, 17, 251
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 213 is 3 x 71
Prime Factorization of 986 is 2 x 17 x 29
Prime Factorization of 17 is 17
Prime Factorization of 251 is 251
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(213, 986) = 210018
GCD(213, 986) = ( 213 x 986 ) / 210018
GCD(213, 986) = 210018 / 210018
GCD(213, 986) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 17
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 17) = 17
GCD(1, 17) = ( 1 x 17 ) / 17
GCD(1, 17) = 17 / 17
GCD(1, 17) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 251
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 251) = 251
GCD(1, 251) = ( 1 x 251 ) / 251
GCD(1, 251) = 251 / 251
GCD(1, 251) = 1
GCD of 213, 986, 17, 251 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 213, 986, 17, 251?
GCD of 213, 986, 17, 251 is 1
2. Where do I get the detailed procedure to find GCD of 213, 986, 17, 251?
You can find a detailed procedure to find GCD of 213, 986, 17, 251 on our page.
3. How to find GCD of 213, 986, 17, 251 on a calculator?
You can find the GCD of 213, 986, 17, 251 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.