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, 213, 976, 325 i.e. 1 largest integer that divides all the numbers equally.
GCD of 52, 213, 976, 325 is 1
GCD(52, 213, 976, 325) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 52, 213, 976, 325 is 1
GCD(52, 213, 976, 325) = 1
Given Input numbers are 52, 213, 976, 325
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 213
List of positive integer divisors of 213 that divides 213 without a remainder.
1, 3, 71, 213
Divisors of 976
List of positive integer divisors of 976 that divides 976 without a remainder.
1, 2, 4, 8, 16, 61, 122, 244, 488, 976
Divisors of 325
List of positive integer divisors of 325 that divides 325 without a remainder.
1, 5, 13, 25, 65, 325
Greatest Common Divisior
We found the divisors of 52, 213, 976, 325 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 52, 213, 976, 325 is 1.
Therefore, GCD of numbers 52, 213, 976, 325 is 1
Given Input Data is 52, 213, 976, 325
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 213 is 3 x 71
Prime Factorization of 976 is 2 x 2 x 2 x 2 x 61
Prime Factorization of 325 is 5 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(52, 213) = 11076
GCD(52, 213) = ( 52 x 213 ) / 11076
GCD(52, 213) = 11076 / 11076
GCD(52, 213) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 976
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 976) = 976
GCD(1, 976) = ( 1 x 976 ) / 976
GCD(1, 976) = 976 / 976
GCD(1, 976) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 325
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 325) = 325
GCD(1, 325) = ( 1 x 325 ) / 325
GCD(1, 325) = 325 / 325
GCD(1, 325) = 1
GCD of 52, 213, 976, 325 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 52, 213, 976, 325?
GCD of 52, 213, 976, 325 is 1
2. Where do I get the detailed procedure to find GCD of 52, 213, 976, 325?
You can find a detailed procedure to find GCD of 52, 213, 976, 325 on our page.
3. How to find GCD of 52, 213, 976, 325 on a calculator?
You can find the GCD of 52, 213, 976, 325 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.