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 528, 810, 24, 297 i.e. 3 largest integer that divides all the numbers equally.
GCD of 528, 810, 24, 297 is 3
GCD(528, 810, 24, 297) = 3
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 528, 810, 24, 297 is 3
GCD(528, 810, 24, 297) = 3
Given Input numbers are 528, 810, 24, 297
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 528
List of positive integer divisors of 528 that divides 528 without a remainder.
1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528
Divisors of 810
List of positive integer divisors of 810 that divides 810 without a remainder.
1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810
Divisors of 24
List of positive integer divisors of 24 that divides 24 without a remainder.
1, 2, 3, 4, 6, 8, 12, 24
Divisors of 297
List of positive integer divisors of 297 that divides 297 without a remainder.
1, 3, 9, 11, 27, 33, 99, 297
Greatest Common Divisior
We found the divisors of 528, 810, 24, 297 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 528, 810, 24, 297 is 3.
Therefore, GCD of numbers 528, 810, 24, 297 is 3
Given Input Data is 528, 810, 24, 297
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 528 is 2 x 2 x 2 x 2 x 3 x 11
Prime Factorization of 810 is 2 x 3 x 3 x 3 x 3 x 5
Prime Factorization of 24 is 2 x 2 x 2 x 3
Prime Factorization of 297 is 3 x 3 x 3 x 11
Highest common occurrences in the given inputs are 31
Multiplying them we get the GCD as 3
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(528, 810) = 71280
GCD(528, 810) = ( 528 x 810 ) / 71280
GCD(528, 810) = 427680 / 71280
GCD(528, 810) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 24
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 24) = 24
GCD(6, 24) = ( 6 x 24 ) / 24
GCD(6, 24) = 144 / 24
GCD(6, 24) = 6
Step3:
Here we consider the GCD from the above i.e. 6 as first number and the next as 297
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 297) = 594
GCD(6, 297) = ( 6 x 297 ) / 594
GCD(6, 297) = 1782 / 594
GCD(6, 297) = 3
GCD of 528, 810, 24, 297 is 3
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 528, 810, 24, 297?
GCD of 528, 810, 24, 297 is 3
2. Where do I get the detailed procedure to find GCD of 528, 810, 24, 297?
You can find a detailed procedure to find GCD of 528, 810, 24, 297 on our page.
3. How to find GCD of 528, 810, 24, 297 on a calculator?
You can find the GCD of 528, 810, 24, 297 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.