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 852, 135, 524, 585 i.e. 1 largest integer that divides all the numbers equally.
GCD of 852, 135, 524, 585 is 1
GCD(852, 135, 524, 585) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 852, 135, 524, 585 is 1
GCD(852, 135, 524, 585) = 1
Given Input numbers are 852, 135, 524, 585
To find the GCD of numbers using factoring list out all the divisors of each number
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
Divisors of 135
List of positive integer divisors of 135 that divides 135 without a remainder.
1, 3, 5, 9, 15, 27, 45, 135
Divisors of 524
List of positive integer divisors of 524 that divides 524 without a remainder.
1, 2, 4, 131, 262, 524
Divisors of 585
List of positive integer divisors of 585 that divides 585 without a remainder.
1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585
Greatest Common Divisior
We found the divisors of 852, 135, 524, 585 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 852, 135, 524, 585 is 1.
Therefore, GCD of numbers 852, 135, 524, 585 is 1
Given Input Data is 852, 135, 524, 585
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 852 is 2 x 2 x 3 x 71
Prime Factorization of 135 is 3 x 3 x 3 x 5
Prime Factorization of 524 is 2 x 2 x 131
Prime Factorization of 585 is 3 x 3 x 5 x 13
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(852, 135) = 38340
GCD(852, 135) = ( 852 x 135 ) / 38340
GCD(852, 135) = 115020 / 38340
GCD(852, 135) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 524
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 524) = 1572
GCD(3, 524) = ( 3 x 524 ) / 1572
GCD(3, 524) = 1572 / 1572
GCD(3, 524) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 585
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 585) = 585
GCD(1, 585) = ( 1 x 585 ) / 585
GCD(1, 585) = 585 / 585
GCD(1, 585) = 1
GCD of 852, 135, 524, 585 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 852, 135, 524, 585?
GCD of 852, 135, 524, 585 is 1
2. Where do I get the detailed procedure to find GCD of 852, 135, 524, 585?
You can find a detailed procedure to find GCD of 852, 135, 524, 585 on our page.
3. How to find GCD of 852, 135, 524, 585 on a calculator?
You can find the GCD of 852, 135, 524, 585 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.