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, 726, 633 i.e. 3 largest integer that divides all the numbers equally.
GCD of 528, 726, 633 is 3
GCD(528, 726, 633) = 3
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 528, 726, 633 is 3
GCD(528, 726, 633) = 3
Given Input numbers are 528, 726, 633
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 726
List of positive integer divisors of 726 that divides 726 without a remainder.
1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726
Divisors of 633
List of positive integer divisors of 633 that divides 633 without a remainder.
1, 3, 211, 633
Greatest Common Divisior
We found the divisors of 528, 726, 633 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 528, 726, 633 is 3.
Therefore, GCD of numbers 528, 726, 633 is 3
Given Input Data is 528, 726, 633
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 726 is 2 x 3 x 11 x 11
Prime Factorization of 633 is 3 x 211
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, 726) = 5808
GCD(528, 726) = ( 528 x 726 ) / 5808
GCD(528, 726) = 383328 / 5808
GCD(528, 726) = 66
Step2:
Here we consider the GCD from the above i.e. 66 as first number and the next as 633
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(66, 633) = 13926
GCD(66, 633) = ( 66 x 633 ) / 13926
GCD(66, 633) = 41778 / 13926
GCD(66, 633) = 3
GCD of 528, 726, 633 is 3
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 528, 726, 633?
GCD of 528, 726, 633 is 3
2. Where do I get the detailed procedure to find GCD of 528, 726, 633?
You can find a detailed procedure to find GCD of 528, 726, 633 on our page.
3. How to find GCD of 528, 726, 633 on a calculator?
You can find the GCD of 528, 726, 633 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.