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 968, 332, 209 i.e. 1 largest integer that divides all the numbers equally.
GCD of 968, 332, 209 is 1
GCD(968, 332, 209) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 968, 332, 209 is 1
GCD(968, 332, 209) = 1
Given Input numbers are 968, 332, 209
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 968
List of positive integer divisors of 968 that divides 968 without a remainder.
1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
Divisors of 332
List of positive integer divisors of 332 that divides 332 without a remainder.
1, 2, 4, 83, 166, 332
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 968, 332, 209 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 968, 332, 209 is 1.
Therefore, GCD of numbers 968, 332, 209 is 1
Given Input Data is 968, 332, 209
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 968 is 2 x 2 x 2 x 11 x 11
Prime Factorization of 332 is 2 x 2 x 83
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(968, 332) = 80344
GCD(968, 332) = ( 968 x 332 ) / 80344
GCD(968, 332) = 321376 / 80344
GCD(968, 332) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 209
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 209) = 836
GCD(4, 209) = ( 4 x 209 ) / 836
GCD(4, 209) = 836 / 836
GCD(4, 209) = 1
GCD of 968, 332, 209 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 968, 332, 209?
GCD of 968, 332, 209 is 1
2. Where do I get the detailed procedure to find GCD of 968, 332, 209?
You can find a detailed procedure to find GCD of 968, 332, 209 on our page.
3. How to find GCD of 968, 332, 209 on a calculator?
You can find the GCD of 968, 332, 209 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.