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, 542, 438, 530 i.e. 2 largest integer that divides all the numbers equally.
GCD of 852, 542, 438, 530 is 2
GCD(852, 542, 438, 530) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 852, 542, 438, 530 is 2
GCD(852, 542, 438, 530) = 2
Given Input numbers are 852, 542, 438, 530
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 542
List of positive integer divisors of 542 that divides 542 without a remainder.
1, 2, 271, 542
Divisors of 438
List of positive integer divisors of 438 that divides 438 without a remainder.
1, 2, 3, 6, 73, 146, 219, 438
Divisors of 530
List of positive integer divisors of 530 that divides 530 without a remainder.
1, 2, 5, 10, 53, 106, 265, 530
Greatest Common Divisior
We found the divisors of 852, 542, 438, 530 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 852, 542, 438, 530 is 2.
Therefore, GCD of numbers 852, 542, 438, 530 is 2
Given Input Data is 852, 542, 438, 530
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 542 is 2 x 271
Prime Factorization of 438 is 2 x 3 x 73
Prime Factorization of 530 is 2 x 5 x 53
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
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, 542) = 230892
GCD(852, 542) = ( 852 x 542 ) / 230892
GCD(852, 542) = 461784 / 230892
GCD(852, 542) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 438
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 438) = 438
GCD(2, 438) = ( 2 x 438 ) / 438
GCD(2, 438) = 876 / 438
GCD(2, 438) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 530
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 530) = 530
GCD(2, 530) = ( 2 x 530 ) / 530
GCD(2, 530) = 1060 / 530
GCD(2, 530) = 2
GCD of 852, 542, 438, 530 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 852, 542, 438, 530?
GCD of 852, 542, 438, 530 is 2
2. Where do I get the detailed procedure to find GCD of 852, 542, 438, 530?
You can find a detailed procedure to find GCD of 852, 542, 438, 530 on our page.
3. How to find GCD of 852, 542, 438, 530 on a calculator?
You can find the GCD of 852, 542, 438, 530 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.