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 43, 891, 324, 360 i.e. 1 largest integer that divides all the numbers equally.
GCD of 43, 891, 324, 360 is 1
GCD(43, 891, 324, 360) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 43, 891, 324, 360 is 1
GCD(43, 891, 324, 360) = 1
Given Input numbers are 43, 891, 324, 360
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 43
List of positive integer divisors of 43 that divides 43 without a remainder.
1, 43
Divisors of 891
List of positive integer divisors of 891 that divides 891 without a remainder.
1, 3, 9, 11, 27, 33, 81, 99, 297, 891
Divisors of 324
List of positive integer divisors of 324 that divides 324 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324
Divisors of 360
List of positive integer divisors of 360 that divides 360 without a remainder.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
Greatest Common Divisior
We found the divisors of 43, 891, 324, 360 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 43, 891, 324, 360 is 1.
Therefore, GCD of numbers 43, 891, 324, 360 is 1
Given Input Data is 43, 891, 324, 360
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 43 is 43
Prime Factorization of 891 is 3 x 3 x 3 x 3 x 11
Prime Factorization of 324 is 2 x 2 x 3 x 3 x 3 x 3
Prime Factorization of 360 is 2 x 2 x 2 x 3 x 3 x 5
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(43, 891) = 38313
GCD(43, 891) = ( 43 x 891 ) / 38313
GCD(43, 891) = 38313 / 38313
GCD(43, 891) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 324
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 324) = 324
GCD(1, 324) = ( 1 x 324 ) / 324
GCD(1, 324) = 324 / 324
GCD(1, 324) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 360
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 360) = 360
GCD(1, 360) = ( 1 x 360 ) / 360
GCD(1, 360) = 360 / 360
GCD(1, 360) = 1
GCD of 43, 891, 324, 360 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 43, 891, 324, 360?
GCD of 43, 891, 324, 360 is 1
2. Where do I get the detailed procedure to find GCD of 43, 891, 324, 360?
You can find a detailed procedure to find GCD of 43, 891, 324, 360 on our page.
3. How to find GCD of 43, 891, 324, 360 on a calculator?
You can find the GCD of 43, 891, 324, 360 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.