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 329, 706, 531, 221 i.e. 1 largest integer that divides all the numbers equally.
GCD of 329, 706, 531, 221 is 1
GCD(329, 706, 531, 221) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 329, 706, 531, 221 is 1
GCD(329, 706, 531, 221) = 1
Given Input numbers are 329, 706, 531, 221
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 329
List of positive integer divisors of 329 that divides 329 without a remainder.
1, 7, 47, 329
Divisors of 706
List of positive integer divisors of 706 that divides 706 without a remainder.
1, 2, 353, 706
Divisors of 531
List of positive integer divisors of 531 that divides 531 without a remainder.
1, 3, 9, 59, 177, 531
Divisors of 221
List of positive integer divisors of 221 that divides 221 without a remainder.
1, 13, 17, 221
Greatest Common Divisior
We found the divisors of 329, 706, 531, 221 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 329, 706, 531, 221 is 1.
Therefore, GCD of numbers 329, 706, 531, 221 is 1
Given Input Data is 329, 706, 531, 221
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 329 is 7 x 47
Prime Factorization of 706 is 2 x 353
Prime Factorization of 531 is 3 x 3 x 59
Prime Factorization of 221 is 13 x 17
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(329, 706) = 232274
GCD(329, 706) = ( 329 x 706 ) / 232274
GCD(329, 706) = 232274 / 232274
GCD(329, 706) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 531
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 531) = 531
GCD(1, 531) = ( 1 x 531 ) / 531
GCD(1, 531) = 531 / 531
GCD(1, 531) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 221
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 221) = 221
GCD(1, 221) = ( 1 x 221 ) / 221
GCD(1, 221) = 221 / 221
GCD(1, 221) = 1
GCD of 329, 706, 531, 221 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 329, 706, 531, 221?
GCD of 329, 706, 531, 221 is 1
2. Where do I get the detailed procedure to find GCD of 329, 706, 531, 221?
You can find a detailed procedure to find GCD of 329, 706, 531, 221 on our page.
3. How to find GCD of 329, 706, 531, 221 on a calculator?
You can find the GCD of 329, 706, 531, 221 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.