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 332, 107, 249, 252 i.e. 1 largest integer that divides all the numbers equally.
GCD of 332, 107, 249, 252 is 1
GCD(332, 107, 249, 252) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 332, 107, 249, 252 is 1
GCD(332, 107, 249, 252) = 1
Given Input numbers are 332, 107, 249, 252
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 332
List of positive integer divisors of 332 that divides 332 without a remainder.
1, 2, 4, 83, 166, 332
Divisors of 107
List of positive integer divisors of 107 that divides 107 without a remainder.
1, 107
Divisors of 249
List of positive integer divisors of 249 that divides 249 without a remainder.
1, 3, 83, 249
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
Greatest Common Divisior
We found the divisors of 332, 107, 249, 252 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 332, 107, 249, 252 is 1.
Therefore, GCD of numbers 332, 107, 249, 252 is 1
Given Input Data is 332, 107, 249, 252
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 332 is 2 x 2 x 83
Prime Factorization of 107 is 107
Prime Factorization of 249 is 3 x 83
Prime Factorization of 252 is 2 x 2 x 3 x 3 x 7
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(332, 107) = 35524
GCD(332, 107) = ( 332 x 107 ) / 35524
GCD(332, 107) = 35524 / 35524
GCD(332, 107) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 249
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 249) = 249
GCD(1, 249) = ( 1 x 249 ) / 249
GCD(1, 249) = 249 / 249
GCD(1, 249) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 252
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 252) = 252
GCD(1, 252) = ( 1 x 252 ) / 252
GCD(1, 252) = 252 / 252
GCD(1, 252) = 1
GCD of 332, 107, 249, 252 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 332, 107, 249, 252?
GCD of 332, 107, 249, 252 is 1
2. Where do I get the detailed procedure to find GCD of 332, 107, 249, 252?
You can find a detailed procedure to find GCD of 332, 107, 249, 252 on our page.
3. How to find GCD of 332, 107, 249, 252 on a calculator?
You can find the GCD of 332, 107, 249, 252 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.