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 52, 924, 538, 823 i.e. 1 largest integer that divides all the numbers equally.
GCD of 52, 924, 538, 823 is 1
GCD(52, 924, 538, 823) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 52, 924, 538, 823 is 1
GCD(52, 924, 538, 823) = 1
Given Input numbers are 52, 924, 538, 823
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 52
List of positive integer divisors of 52 that divides 52 without a remainder.
1, 2, 4, 13, 26, 52
Divisors of 924
List of positive integer divisors of 924 that divides 924 without a remainder.
1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924
Divisors of 538
List of positive integer divisors of 538 that divides 538 without a remainder.
1, 2, 269, 538
Divisors of 823
List of positive integer divisors of 823 that divides 823 without a remainder.
1, 823
Greatest Common Divisior
We found the divisors of 52, 924, 538, 823 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 52, 924, 538, 823 is 1.
Therefore, GCD of numbers 52, 924, 538, 823 is 1
Given Input Data is 52, 924, 538, 823
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 52 is 2 x 2 x 13
Prime Factorization of 924 is 2 x 2 x 3 x 7 x 11
Prime Factorization of 538 is 2 x 269
Prime Factorization of 823 is 823
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(52, 924) = 12012
GCD(52, 924) = ( 52 x 924 ) / 12012
GCD(52, 924) = 48048 / 12012
GCD(52, 924) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 538
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 538) = 1076
GCD(4, 538) = ( 4 x 538 ) / 1076
GCD(4, 538) = 2152 / 1076
GCD(4, 538) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 823
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 823) = 1646
GCD(2, 823) = ( 2 x 823 ) / 1646
GCD(2, 823) = 1646 / 1646
GCD(2, 823) = 1
GCD of 52, 924, 538, 823 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 52, 924, 538, 823?
GCD of 52, 924, 538, 823 is 1
2. Where do I get the detailed procedure to find GCD of 52, 924, 538, 823?
You can find a detailed procedure to find GCD of 52, 924, 538, 823 on our page.
3. How to find GCD of 52, 924, 538, 823 on a calculator?
You can find the GCD of 52, 924, 538, 823 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.