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 966, 728, 181, 540 i.e. 1 largest integer that divides all the numbers equally.
GCD of 966, 728, 181, 540 is 1
GCD(966, 728, 181, 540) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 966, 728, 181, 540 is 1
GCD(966, 728, 181, 540) = 1
Given Input numbers are 966, 728, 181, 540
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 966
List of positive integer divisors of 966 that divides 966 without a remainder.
1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966
Divisors of 728
List of positive integer divisors of 728 that divides 728 without a remainder.
1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
Divisors of 181
List of positive integer divisors of 181 that divides 181 without a remainder.
1, 181
Divisors of 540
List of positive integer divisors of 540 that divides 540 without a remainder.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540
Greatest Common Divisior
We found the divisors of 966, 728, 181, 540 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 966, 728, 181, 540 is 1.
Therefore, GCD of numbers 966, 728, 181, 540 is 1
Given Input Data is 966, 728, 181, 540
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 966 is 2 x 3 x 7 x 23
Prime Factorization of 728 is 2 x 2 x 2 x 7 x 13
Prime Factorization of 181 is 181
Prime Factorization of 540 is 2 x 2 x 3 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(966, 728) = 50232
GCD(966, 728) = ( 966 x 728 ) / 50232
GCD(966, 728) = 703248 / 50232
GCD(966, 728) = 14
Step2:
Here we consider the GCD from the above i.e. 14 as first number and the next as 181
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(14, 181) = 2534
GCD(14, 181) = ( 14 x 181 ) / 2534
GCD(14, 181) = 2534 / 2534
GCD(14, 181) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 540
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 540) = 540
GCD(1, 540) = ( 1 x 540 ) / 540
GCD(1, 540) = 540 / 540
GCD(1, 540) = 1
GCD of 966, 728, 181, 540 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 966, 728, 181, 540?
GCD of 966, 728, 181, 540 is 1
2. Where do I get the detailed procedure to find GCD of 966, 728, 181, 540?
You can find a detailed procedure to find GCD of 966, 728, 181, 540 on our page.
3. How to find GCD of 966, 728, 181, 540 on a calculator?
You can find the GCD of 966, 728, 181, 540 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.