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, 857, 14, 396 i.e. 1 largest integer that divides all the numbers equally.
GCD of 252, 857, 14, 396 is 1
GCD(252, 857, 14, 396) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 252, 857, 14, 396 is 1
GCD(252, 857, 14, 396) = 1
Given Input numbers are 252, 857, 14, 396
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 857
List of positive integer divisors of 857 that divides 857 without a remainder.
1, 857
Divisors of 14
List of positive integer divisors of 14 that divides 14 without a remainder.
1, 2, 7, 14
Divisors of 396
List of positive integer divisors of 396 that divides 396 without a remainder.
1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
Greatest Common Divisior
We found the divisors of 252, 857, 14, 396 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 252, 857, 14, 396 is 1.
Therefore, GCD of numbers 252, 857, 14, 396 is 1
Given Input Data is 252, 857, 14, 396
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 857 is 857
Prime Factorization of 14 is 2 x 7
Prime Factorization of 396 is 2 x 2 x 3 x 3 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(252, 857) = 215964
GCD(252, 857) = ( 252 x 857 ) / 215964
GCD(252, 857) = 215964 / 215964
GCD(252, 857) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 14
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 14) = 14
GCD(1, 14) = ( 1 x 14 ) / 14
GCD(1, 14) = 14 / 14
GCD(1, 14) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 396
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 396) = 396
GCD(1, 396) = ( 1 x 396 ) / 396
GCD(1, 396) = 396 / 396
GCD(1, 396) = 1
GCD of 252, 857, 14, 396 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 252, 857, 14, 396?
GCD of 252, 857, 14, 396 is 1
2. Where do I get the detailed procedure to find GCD of 252, 857, 14, 396?
You can find a detailed procedure to find GCD of 252, 857, 14, 396 on our page.
3. How to find GCD of 252, 857, 14, 396 on a calculator?
You can find the GCD of 252, 857, 14, 396 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.