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, 657, 232 i.e. 1 largest integer that divides all the numbers equally.
GCD of 528, 657, 232 is 1
GCD(528, 657, 232) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 528, 657, 232 is 1
GCD(528, 657, 232) = 1
Given Input numbers are 528, 657, 232
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 657
List of positive integer divisors of 657 that divides 657 without a remainder.
1, 3, 9, 73, 219, 657
Divisors of 232
List of positive integer divisors of 232 that divides 232 without a remainder.
1, 2, 4, 8, 29, 58, 116, 232
Greatest Common Divisior
We found the divisors of 528, 657, 232 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 528, 657, 232 is 1.
Therefore, GCD of numbers 528, 657, 232 is 1
Given Input Data is 528, 657, 232
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 657 is 3 x 3 x 73
Prime Factorization of 232 is 2 x 2 x 2 x 29
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(528, 657) = 115632
GCD(528, 657) = ( 528 x 657 ) / 115632
GCD(528, 657) = 346896 / 115632
GCD(528, 657) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 232
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 232) = 696
GCD(3, 232) = ( 3 x 232 ) / 696
GCD(3, 232) = 696 / 696
GCD(3, 232) = 1
GCD of 528, 657, 232 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 528, 657, 232?
GCD of 528, 657, 232 is 1
2. Where do I get the detailed procedure to find GCD of 528, 657, 232?
You can find a detailed procedure to find GCD of 528, 657, 232 on our page.
3. How to find GCD of 528, 657, 232 on a calculator?
You can find the GCD of 528, 657, 232 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.