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, 825, 383, 186 i.e. 1 largest integer that divides all the numbers equally.
GCD of 252, 825, 383, 186 is 1
GCD(252, 825, 383, 186) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 252, 825, 383, 186 is 1
GCD(252, 825, 383, 186) = 1
Given Input numbers are 252, 825, 383, 186
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 825
List of positive integer divisors of 825 that divides 825 without a remainder.
1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825
Divisors of 383
List of positive integer divisors of 383 that divides 383 without a remainder.
1, 383
Divisors of 186
List of positive integer divisors of 186 that divides 186 without a remainder.
1, 2, 3, 6, 31, 62, 93, 186
Greatest Common Divisior
We found the divisors of 252, 825, 383, 186 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 252, 825, 383, 186 is 1.
Therefore, GCD of numbers 252, 825, 383, 186 is 1
Given Input Data is 252, 825, 383, 186
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 825 is 3 x 5 x 5 x 11
Prime Factorization of 383 is 383
Prime Factorization of 186 is 2 x 3 x 31
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, 825) = 69300
GCD(252, 825) = ( 252 x 825 ) / 69300
GCD(252, 825) = 207900 / 69300
GCD(252, 825) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 383
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 383) = 1149
GCD(3, 383) = ( 3 x 383 ) / 1149
GCD(3, 383) = 1149 / 1149
GCD(3, 383) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 186
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 186) = 186
GCD(1, 186) = ( 1 x 186 ) / 186
GCD(1, 186) = 186 / 186
GCD(1, 186) = 1
GCD of 252, 825, 383, 186 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 252, 825, 383, 186?
GCD of 252, 825, 383, 186 is 1
2. Where do I get the detailed procedure to find GCD of 252, 825, 383, 186?
You can find a detailed procedure to find GCD of 252, 825, 383, 186 on our page.
3. How to find GCD of 252, 825, 383, 186 on a calculator?
You can find the GCD of 252, 825, 383, 186 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.