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, 902, 191, 924 i.e. 1 largest integer that divides all the numbers equally.
GCD of 52, 902, 191, 924 is 1
GCD(52, 902, 191, 924) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 52, 902, 191, 924 is 1
GCD(52, 902, 191, 924) = 1
Given Input numbers are 52, 902, 191, 924
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 902
List of positive integer divisors of 902 that divides 902 without a remainder.
1, 2, 11, 22, 41, 82, 451, 902
Divisors of 191
List of positive integer divisors of 191 that divides 191 without a remainder.
1, 191
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
Greatest Common Divisior
We found the divisors of 52, 902, 191, 924 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 52, 902, 191, 924 is 1.
Therefore, GCD of numbers 52, 902, 191, 924 is 1
Given Input Data is 52, 902, 191, 924
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 902 is 2 x 11 x 41
Prime Factorization of 191 is 191
Prime Factorization of 924 is 2 x 2 x 3 x 7 x 11
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, 902) = 23452
GCD(52, 902) = ( 52 x 902 ) / 23452
GCD(52, 902) = 46904 / 23452
GCD(52, 902) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 191
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 191) = 382
GCD(2, 191) = ( 2 x 191 ) / 382
GCD(2, 191) = 382 / 382
GCD(2, 191) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 924
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 924) = 924
GCD(1, 924) = ( 1 x 924 ) / 924
GCD(1, 924) = 924 / 924
GCD(1, 924) = 1
GCD of 52, 902, 191, 924 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 52, 902, 191, 924?
GCD of 52, 902, 191, 924 is 1
2. Where do I get the detailed procedure to find GCD of 52, 902, 191, 924?
You can find a detailed procedure to find GCD of 52, 902, 191, 924 on our page.
3. How to find GCD of 52, 902, 191, 924 on a calculator?
You can find the GCD of 52, 902, 191, 924 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.