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 232, 694, 63, 321 i.e. 1 largest integer that divides all the numbers equally.
GCD of 232, 694, 63, 321 is 1
GCD(232, 694, 63, 321) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 232, 694, 63, 321 is 1
GCD(232, 694, 63, 321) = 1
Given Input numbers are 232, 694, 63, 321
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 232
List of positive integer divisors of 232 that divides 232 without a remainder.
1, 2, 4, 8, 29, 58, 116, 232
Divisors of 694
List of positive integer divisors of 694 that divides 694 without a remainder.
1, 2, 347, 694
Divisors of 63
List of positive integer divisors of 63 that divides 63 without a remainder.
1, 3, 7, 9, 21, 63
Divisors of 321
List of positive integer divisors of 321 that divides 321 without a remainder.
1, 3, 107, 321
Greatest Common Divisior
We found the divisors of 232, 694, 63, 321 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 232, 694, 63, 321 is 1.
Therefore, GCD of numbers 232, 694, 63, 321 is 1
Given Input Data is 232, 694, 63, 321
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 232 is 2 x 2 x 2 x 29
Prime Factorization of 694 is 2 x 347
Prime Factorization of 63 is 3 x 3 x 7
Prime Factorization of 321 is 3 x 107
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(232, 694) = 80504
GCD(232, 694) = ( 232 x 694 ) / 80504
GCD(232, 694) = 161008 / 80504
GCD(232, 694) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 63
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 63) = 126
GCD(2, 63) = ( 2 x 63 ) / 126
GCD(2, 63) = 126 / 126
GCD(2, 63) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 321
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 321) = 321
GCD(1, 321) = ( 1 x 321 ) / 321
GCD(1, 321) = 321 / 321
GCD(1, 321) = 1
GCD of 232, 694, 63, 321 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 232, 694, 63, 321?
GCD of 232, 694, 63, 321 is 1
2. Where do I get the detailed procedure to find GCD of 232, 694, 63, 321?
You can find a detailed procedure to find GCD of 232, 694, 63, 321 on our page.
3. How to find GCD of 232, 694, 63, 321 on a calculator?
You can find the GCD of 232, 694, 63, 321 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.