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 252, 528, 488 i.e. 4 largest integer that divides all the numbers equally.
GCD of 252, 528, 488 is 4
GCD(252, 528, 488) = 4
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 252, 528, 488 is 4
GCD(252, 528, 488) = 4
Given Input numbers are 252, 528, 488
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 252
List of positive integer divisors of 252 that divides 252 without a remainder.
1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252
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 488
List of positive integer divisors of 488 that divides 488 without a remainder.
1, 2, 4, 8, 61, 122, 244, 488
Greatest Common Divisior
We found the divisors of 252, 528, 488 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 252, 528, 488 is 4.
Therefore, GCD of numbers 252, 528, 488 is 4
Given Input Data is 252, 528, 488
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 252 is 2 x 2 x 3 x 3 x 7
Prime Factorization of 528 is 2 x 2 x 2 x 2 x 3 x 11
Prime Factorization of 488 is 2 x 2 x 2 x 61
Highest common occurrences in the given inputs are 22
Multiplying them we get the GCD as 4
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(252, 528) = 11088
GCD(252, 528) = ( 252 x 528 ) / 11088
GCD(252, 528) = 133056 / 11088
GCD(252, 528) = 12
Step2:
Here we consider the GCD from the above i.e. 12 as first number and the next as 488
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(12, 488) = 1464
GCD(12, 488) = ( 12 x 488 ) / 1464
GCD(12, 488) = 5856 / 1464
GCD(12, 488) = 4
GCD of 252, 528, 488 is 4
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 252, 528, 488?
GCD of 252, 528, 488 is 4
2. Where do I get the detailed procedure to find GCD of 252, 528, 488?
You can find a detailed procedure to find GCD of 252, 528, 488 on our page.
3. How to find GCD of 252, 528, 488 on a calculator?
You can find the GCD of 252, 528, 488 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.