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 252, 394, 95, 529 i.e. 1 largest integer that divides all the numbers equally.
GCD of 252, 394, 95, 529 is 1
GCD(252, 394, 95, 529) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 252, 394, 95, 529 is 1
GCD(252, 394, 95, 529) = 1
Given Input numbers are 252, 394, 95, 529
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 252
List of positive integer divisors of 252 that divides 252 without a remainder.
1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252
Divisors of 394
List of positive integer divisors of 394 that divides 394 without a remainder.
1, 2, 197, 394
Divisors of 95
List of positive integer divisors of 95 that divides 95 without a remainder.
1, 5, 19, 95
Divisors of 529
List of positive integer divisors of 529 that divides 529 without a remainder.
1, 23, 529
Greatest Common Divisior
We found the divisors of 252, 394, 95, 529 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 252, 394, 95, 529 is 1.
Therefore, GCD of numbers 252, 394, 95, 529 is 1
Given Input Data is 252, 394, 95, 529
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 252 is 2 x 2 x 3 x 3 x 7
Prime Factorization of 394 is 2 x 197
Prime Factorization of 95 is 5 x 19
Prime Factorization of 529 is 23 x 23
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(252, 394) = 49644
GCD(252, 394) = ( 252 x 394 ) / 49644
GCD(252, 394) = 99288 / 49644
GCD(252, 394) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 95
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 95) = 190
GCD(2, 95) = ( 2 x 95 ) / 190
GCD(2, 95) = 190 / 190
GCD(2, 95) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 529
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 529) = 529
GCD(1, 529) = ( 1 x 529 ) / 529
GCD(1, 529) = 529 / 529
GCD(1, 529) = 1
GCD of 252, 394, 95, 529 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 252, 394, 95, 529?
GCD of 252, 394, 95, 529 is 1
2. Where do I get the detailed procedure to find GCD of 252, 394, 95, 529?
You can find a detailed procedure to find GCD of 252, 394, 95, 529 on our page.
3. How to find GCD of 252, 394, 95, 529 on a calculator?
You can find the GCD of 252, 394, 95, 529 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.