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 996, 568, 859, 209 i.e. 1 largest integer that divides all the numbers equally.
GCD of 996, 568, 859, 209 is 1
GCD(996, 568, 859, 209) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 996, 568, 859, 209 is 1
GCD(996, 568, 859, 209) = 1
Given Input numbers are 996, 568, 859, 209
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 996
List of positive integer divisors of 996 that divides 996 without a remainder.
1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996
Divisors of 568
List of positive integer divisors of 568 that divides 568 without a remainder.
1, 2, 4, 8, 71, 142, 284, 568
Divisors of 859
List of positive integer divisors of 859 that divides 859 without a remainder.
1, 859
Divisors of 209
List of positive integer divisors of 209 that divides 209 without a remainder.
1, 11, 19, 209
Greatest Common Divisior
We found the divisors of 996, 568, 859, 209 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 996, 568, 859, 209 is 1.
Therefore, GCD of numbers 996, 568, 859, 209 is 1
Given Input Data is 996, 568, 859, 209
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 996 is 2 x 2 x 3 x 83
Prime Factorization of 568 is 2 x 2 x 2 x 71
Prime Factorization of 859 is 859
Prime Factorization of 209 is 11 x 19
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(996, 568) = 141432
GCD(996, 568) = ( 996 x 568 ) / 141432
GCD(996, 568) = 565728 / 141432
GCD(996, 568) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 859
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 859) = 3436
GCD(4, 859) = ( 4 x 859 ) / 3436
GCD(4, 859) = 3436 / 3436
GCD(4, 859) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 209
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 209) = 209
GCD(1, 209) = ( 1 x 209 ) / 209
GCD(1, 209) = 209 / 209
GCD(1, 209) = 1
GCD of 996, 568, 859, 209 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 996, 568, 859, 209?
GCD of 996, 568, 859, 209 is 1
2. Where do I get the detailed procedure to find GCD of 996, 568, 859, 209?
You can find a detailed procedure to find GCD of 996, 568, 859, 209 on our page.
3. How to find GCD of 996, 568, 859, 209 on a calculator?
You can find the GCD of 996, 568, 859, 209 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.