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 468, 480, 864, 527 i.e. 1 largest integer that divides all the numbers equally.
GCD of 468, 480, 864, 527 is 1
GCD(468, 480, 864, 527) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 468, 480, 864, 527 is 1
GCD(468, 480, 864, 527) = 1
Given Input numbers are 468, 480, 864, 527
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 468
List of positive integer divisors of 468 that divides 468 without a remainder.
1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
Divisors of 480
List of positive integer divisors of 480 that divides 480 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480
Divisors of 864
List of positive integer divisors of 864 that divides 864 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864
Divisors of 527
List of positive integer divisors of 527 that divides 527 without a remainder.
1, 17, 31, 527
Greatest Common Divisior
We found the divisors of 468, 480, 864, 527 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 468, 480, 864, 527 is 1.
Therefore, GCD of numbers 468, 480, 864, 527 is 1
Given Input Data is 468, 480, 864, 527
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 468 is 2 x 2 x 3 x 3 x 13
Prime Factorization of 480 is 2 x 2 x 2 x 2 x 2 x 3 x 5
Prime Factorization of 864 is 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3
Prime Factorization of 527 is 17 x 31
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(468, 480) = 18720
GCD(468, 480) = ( 468 x 480 ) / 18720
GCD(468, 480) = 224640 / 18720
GCD(468, 480) = 12
Step2:
Here we consider the GCD from the above i.e. 12 as first number and the next as 864
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(12, 864) = 864
GCD(12, 864) = ( 12 x 864 ) / 864
GCD(12, 864) = 10368 / 864
GCD(12, 864) = 12
Step3:
Here we consider the GCD from the above i.e. 12 as first number and the next as 527
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(12, 527) = 6324
GCD(12, 527) = ( 12 x 527 ) / 6324
GCD(12, 527) = 6324 / 6324
GCD(12, 527) = 1
GCD of 468, 480, 864, 527 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 468, 480, 864, 527?
GCD of 468, 480, 864, 527 is 1
2. Where do I get the detailed procedure to find GCD of 468, 480, 864, 527?
You can find a detailed procedure to find GCD of 468, 480, 864, 527 on our page.
3. How to find GCD of 468, 480, 864, 527 on a calculator?
You can find the GCD of 468, 480, 864, 527 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.