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, 326, 14, 898 i.e. 2 largest integer that divides all the numbers equally.
GCD of 252, 326, 14, 898 is 2
GCD(252, 326, 14, 898) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 252, 326, 14, 898 is 2
GCD(252, 326, 14, 898) = 2
Given Input numbers are 252, 326, 14, 898
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 326
List of positive integer divisors of 326 that divides 326 without a remainder.
1, 2, 163, 326
Divisors of 14
List of positive integer divisors of 14 that divides 14 without a remainder.
1, 2, 7, 14
Divisors of 898
List of positive integer divisors of 898 that divides 898 without a remainder.
1, 2, 449, 898
Greatest Common Divisior
We found the divisors of 252, 326, 14, 898 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 252, 326, 14, 898 is 2.
Therefore, GCD of numbers 252, 326, 14, 898 is 2
Given Input Data is 252, 326, 14, 898
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 326 is 2 x 163
Prime Factorization of 14 is 2 x 7
Prime Factorization of 898 is 2 x 449
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
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, 326) = 41076
GCD(252, 326) = ( 252 x 326 ) / 41076
GCD(252, 326) = 82152 / 41076
GCD(252, 326) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 14
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 14) = 14
GCD(2, 14) = ( 2 x 14 ) / 14
GCD(2, 14) = 28 / 14
GCD(2, 14) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 898
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 898) = 898
GCD(2, 898) = ( 2 x 898 ) / 898
GCD(2, 898) = 1796 / 898
GCD(2, 898) = 2
GCD of 252, 326, 14, 898 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 252, 326, 14, 898?
GCD of 252, 326, 14, 898 is 2
2. Where do I get the detailed procedure to find GCD of 252, 326, 14, 898?
You can find a detailed procedure to find GCD of 252, 326, 14, 898 on our page.
3. How to find GCD of 252, 326, 14, 898 on a calculator?
You can find the GCD of 252, 326, 14, 898 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.