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 525, 539, 24, 852 i.e. 1 largest integer that divides all the numbers equally.
GCD of 525, 539, 24, 852 is 1
GCD(525, 539, 24, 852) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 525, 539, 24, 852 is 1
GCD(525, 539, 24, 852) = 1
Given Input numbers are 525, 539, 24, 852
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 525
List of positive integer divisors of 525 that divides 525 without a remainder.
1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525
Divisors of 539
List of positive integer divisors of 539 that divides 539 without a remainder.
1, 7, 11, 49, 77, 539
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 852
List of positive integer divisors of 852 that divides 852 without a remainder.
1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852
Greatest Common Divisior
We found the divisors of 525, 539, 24, 852 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 525, 539, 24, 852 is 1.
Therefore, GCD of numbers 525, 539, 24, 852 is 1
Given Input Data is 525, 539, 24, 852
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 525 is 3 x 5 x 5 x 7
Prime Factorization of 539 is 7 x 7 x 11
Prime Factorization of 24 is 2 x 2 x 2 x 3
Prime Factorization of 852 is 2 x 2 x 3 x 71
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(525, 539) = 40425
GCD(525, 539) = ( 525 x 539 ) / 40425
GCD(525, 539) = 282975 / 40425
GCD(525, 539) = 7
Step2:
Here we consider the GCD from the above i.e. 7 as first number and the next as 24
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(7, 24) = 168
GCD(7, 24) = ( 7 x 24 ) / 168
GCD(7, 24) = 168 / 168
GCD(7, 24) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 852
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 852) = 852
GCD(1, 852) = ( 1 x 852 ) / 852
GCD(1, 852) = 852 / 852
GCD(1, 852) = 1
GCD of 525, 539, 24, 852 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 525, 539, 24, 852?
GCD of 525, 539, 24, 852 is 1
2. Where do I get the detailed procedure to find GCD of 525, 539, 24, 852?
You can find a detailed procedure to find GCD of 525, 539, 24, 852 on our page.
3. How to find GCD of 525, 539, 24, 852 on a calculator?
You can find the GCD of 525, 539, 24, 852 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.