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 321, 229, 930, 693 i.e. 1 largest integer that divides all the numbers equally.
GCD of 321, 229, 930, 693 is 1
GCD(321, 229, 930, 693) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 321, 229, 930, 693 is 1
GCD(321, 229, 930, 693) = 1
Given Input numbers are 321, 229, 930, 693
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 321
List of positive integer divisors of 321 that divides 321 without a remainder.
1, 3, 107, 321
Divisors of 229
List of positive integer divisors of 229 that divides 229 without a remainder.
1, 229
Divisors of 930
List of positive integer divisors of 930 that divides 930 without a remainder.
1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930
Divisors of 693
List of positive integer divisors of 693 that divides 693 without a remainder.
1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693
Greatest Common Divisior
We found the divisors of 321, 229, 930, 693 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 321, 229, 930, 693 is 1.
Therefore, GCD of numbers 321, 229, 930, 693 is 1
Given Input Data is 321, 229, 930, 693
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 321 is 3 x 107
Prime Factorization of 229 is 229
Prime Factorization of 930 is 2 x 3 x 5 x 31
Prime Factorization of 693 is 3 x 3 x 7 x 11
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(321, 229) = 73509
GCD(321, 229) = ( 321 x 229 ) / 73509
GCD(321, 229) = 73509 / 73509
GCD(321, 229) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 930
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 930) = 930
GCD(1, 930) = ( 1 x 930 ) / 930
GCD(1, 930) = 930 / 930
GCD(1, 930) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 693
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 693) = 693
GCD(1, 693) = ( 1 x 693 ) / 693
GCD(1, 693) = 693 / 693
GCD(1, 693) = 1
GCD of 321, 229, 930, 693 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 321, 229, 930, 693?
GCD of 321, 229, 930, 693 is 1
2. Where do I get the detailed procedure to find GCD of 321, 229, 930, 693?
You can find a detailed procedure to find GCD of 321, 229, 930, 693 on our page.
3. How to find GCD of 321, 229, 930, 693 on a calculator?
You can find the GCD of 321, 229, 930, 693 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.