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, 472, 24, 613 i.e. 1 largest integer that divides all the numbers equally.
GCD of 528, 472, 24, 613 is 1
GCD(528, 472, 24, 613) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 528, 472, 24, 613 is 1
GCD(528, 472, 24, 613) = 1
Given Input numbers are 528, 472, 24, 613
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 472
List of positive integer divisors of 472 that divides 472 without a remainder.
1, 2, 4, 8, 59, 118, 236, 472
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 613
List of positive integer divisors of 613 that divides 613 without a remainder.
1, 613
Greatest Common Divisior
We found the divisors of 528, 472, 24, 613 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 528, 472, 24, 613 is 1.
Therefore, GCD of numbers 528, 472, 24, 613 is 1
Given Input Data is 528, 472, 24, 613
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 472 is 2 x 2 x 2 x 59
Prime Factorization of 24 is 2 x 2 x 2 x 3
Prime Factorization of 613 is 613
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, 472) = 31152
GCD(528, 472) = ( 528 x 472 ) / 31152
GCD(528, 472) = 249216 / 31152
GCD(528, 472) = 8
Step2:
Here we consider the GCD from the above i.e. 8 as first number and the next as 24
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(8, 24) = 24
GCD(8, 24) = ( 8 x 24 ) / 24
GCD(8, 24) = 192 / 24
GCD(8, 24) = 8
Step3:
Here we consider the GCD from the above i.e. 8 as first number and the next as 613
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(8, 613) = 4904
GCD(8, 613) = ( 8 x 613 ) / 4904
GCD(8, 613) = 4904 / 4904
GCD(8, 613) = 1
GCD of 528, 472, 24, 613 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 528, 472, 24, 613?
GCD of 528, 472, 24, 613 is 1
2. Where do I get the detailed procedure to find GCD of 528, 472, 24, 613?
You can find a detailed procedure to find GCD of 528, 472, 24, 613 on our page.
3. How to find GCD of 528, 472, 24, 613 on a calculator?
You can find the GCD of 528, 472, 24, 613 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.