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 432, 318, 730, 561 i.e. 1 largest integer that divides all the numbers equally.
GCD of 432, 318, 730, 561 is 1
GCD(432, 318, 730, 561) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 432, 318, 730, 561 is 1
GCD(432, 318, 730, 561) = 1
Given Input numbers are 432, 318, 730, 561
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 432
List of positive integer divisors of 432 that divides 432 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432
Divisors of 318
List of positive integer divisors of 318 that divides 318 without a remainder.
1, 2, 3, 6, 53, 106, 159, 318
Divisors of 730
List of positive integer divisors of 730 that divides 730 without a remainder.
1, 2, 5, 10, 73, 146, 365, 730
Divisors of 561
List of positive integer divisors of 561 that divides 561 without a remainder.
1, 3, 11, 17, 33, 51, 187, 561
Greatest Common Divisior
We found the divisors of 432, 318, 730, 561 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 432, 318, 730, 561 is 1.
Therefore, GCD of numbers 432, 318, 730, 561 is 1
Given Input Data is 432, 318, 730, 561
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 432 is 2 x 2 x 2 x 2 x 3 x 3 x 3
Prime Factorization of 318 is 2 x 3 x 53
Prime Factorization of 730 is 2 x 5 x 73
Prime Factorization of 561 is 3 x 11 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(432, 318) = 22896
GCD(432, 318) = ( 432 x 318 ) / 22896
GCD(432, 318) = 137376 / 22896
GCD(432, 318) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 730
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 730) = 2190
GCD(6, 730) = ( 6 x 730 ) / 2190
GCD(6, 730) = 4380 / 2190
GCD(6, 730) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 561
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 561) = 1122
GCD(2, 561) = ( 2 x 561 ) / 1122
GCD(2, 561) = 1122 / 1122
GCD(2, 561) = 1
GCD of 432, 318, 730, 561 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 432, 318, 730, 561?
GCD of 432, 318, 730, 561 is 1
2. Where do I get the detailed procedure to find GCD of 432, 318, 730, 561?
You can find a detailed procedure to find GCD of 432, 318, 730, 561 on our page.
3. How to find GCD of 432, 318, 730, 561 on a calculator?
You can find the GCD of 432, 318, 730, 561 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.