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, 231, 60, 840 i.e. 1 largest integer that divides all the numbers equally.
GCD of 329, 231, 60, 840 is 1
GCD(329, 231, 60, 840) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 329, 231, 60, 840 is 1
GCD(329, 231, 60, 840) = 1
Given Input numbers are 329, 231, 60, 840
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 231
List of positive integer divisors of 231 that divides 231 without a remainder.
1, 3, 7, 11, 21, 33, 77, 231
Divisors of 60
List of positive integer divisors of 60 that divides 60 without a remainder.
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
Divisors of 840
List of positive integer divisors of 840 that divides 840 without a remainder.
1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840
Greatest Common Divisior
We found the divisors of 329, 231, 60, 840 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 329, 231, 60, 840 is 1.
Therefore, GCD of numbers 329, 231, 60, 840 is 1
Given Input Data is 329, 231, 60, 840
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 329 is 7 x 47
Prime Factorization of 231 is 3 x 7 x 11
Prime Factorization of 60 is 2 x 2 x 3 x 5
Prime Factorization of 840 is 2 x 2 x 2 x 3 x 5 x 7
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, 231) = 10857
GCD(329, 231) = ( 329 x 231 ) / 10857
GCD(329, 231) = 75999 / 10857
GCD(329, 231) = 7
Step2:
Here we consider the GCD from the above i.e. 7 as first number and the next as 60
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(7, 60) = 420
GCD(7, 60) = ( 7 x 60 ) / 420
GCD(7, 60) = 420 / 420
GCD(7, 60) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 840
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 840) = 840
GCD(1, 840) = ( 1 x 840 ) / 840
GCD(1, 840) = 840 / 840
GCD(1, 840) = 1
GCD of 329, 231, 60, 840 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 329, 231, 60, 840?
GCD of 329, 231, 60, 840 is 1
2. Where do I get the detailed procedure to find GCD of 329, 231, 60, 840?
You can find a detailed procedure to find GCD of 329, 231, 60, 840 on our page.
3. How to find GCD of 329, 231, 60, 840 on a calculator?
You can find the GCD of 329, 231, 60, 840 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.