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 986, 561, 361, 213 i.e. 1 largest integer that divides all the numbers equally.
GCD of 986, 561, 361, 213 is 1
GCD(986, 561, 361, 213) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 986, 561, 361, 213 is 1
GCD(986, 561, 361, 213) = 1
Given Input numbers are 986, 561, 361, 213
To find the GCD of numbers using factoring list out all the divisors of each number
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 561
List of positive integer divisors of 561 that divides 561 without a remainder.
1, 3, 11, 17, 33, 51, 187, 561
Divisors of 361
List of positive integer divisors of 361 that divides 361 without a remainder.
1, 19, 361
Divisors of 213
List of positive integer divisors of 213 that divides 213 without a remainder.
1, 3, 71, 213
Greatest Common Divisior
We found the divisors of 986, 561, 361, 213 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 986, 561, 361, 213 is 1.
Therefore, GCD of numbers 986, 561, 361, 213 is 1
Given Input Data is 986, 561, 361, 213
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 986 is 2 x 17 x 29
Prime Factorization of 561 is 3 x 11 x 17
Prime Factorization of 361 is 19 x 19
Prime Factorization of 213 is 3 x 71
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(986, 561) = 32538
GCD(986, 561) = ( 986 x 561 ) / 32538
GCD(986, 561) = 553146 / 32538
GCD(986, 561) = 17
Step2:
Here we consider the GCD from the above i.e. 17 as first number and the next as 361
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(17, 361) = 6137
GCD(17, 361) = ( 17 x 361 ) / 6137
GCD(17, 361) = 6137 / 6137
GCD(17, 361) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 213
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 213) = 213
GCD(1, 213) = ( 1 x 213 ) / 213
GCD(1, 213) = 213 / 213
GCD(1, 213) = 1
GCD of 986, 561, 361, 213 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 986, 561, 361, 213?
GCD of 986, 561, 361, 213 is 1
2. Where do I get the detailed procedure to find GCD of 986, 561, 361, 213?
You can find a detailed procedure to find GCD of 986, 561, 361, 213 on our page.
3. How to find GCD of 986, 561, 361, 213 on a calculator?
You can find the GCD of 986, 561, 361, 213 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.