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 456, 107, 912, 996 i.e. 1 largest integer that divides all the numbers equally.
GCD of 456, 107, 912, 996 is 1
GCD(456, 107, 912, 996) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 456, 107, 912, 996 is 1
GCD(456, 107, 912, 996) = 1
Given Input numbers are 456, 107, 912, 996
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 456
List of positive integer divisors of 456 that divides 456 without a remainder.
1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
Divisors of 107
List of positive integer divisors of 107 that divides 107 without a remainder.
1, 107
Divisors of 912
List of positive integer divisors of 912 that divides 912 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912
Divisors of 996
List of positive integer divisors of 996 that divides 996 without a remainder.
1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996
Greatest Common Divisior
We found the divisors of 456, 107, 912, 996 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 456, 107, 912, 996 is 1.
Therefore, GCD of numbers 456, 107, 912, 996 is 1
Given Input Data is 456, 107, 912, 996
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 456 is 2 x 2 x 2 x 3 x 19
Prime Factorization of 107 is 107
Prime Factorization of 912 is 2 x 2 x 2 x 2 x 3 x 19
Prime Factorization of 996 is 2 x 2 x 3 x 83
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(456, 107) = 48792
GCD(456, 107) = ( 456 x 107 ) / 48792
GCD(456, 107) = 48792 / 48792
GCD(456, 107) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 912
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 912) = 912
GCD(1, 912) = ( 1 x 912 ) / 912
GCD(1, 912) = 912 / 912
GCD(1, 912) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 996
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 996) = 996
GCD(1, 996) = ( 1 x 996 ) / 996
GCD(1, 996) = 996 / 996
GCD(1, 996) = 1
GCD of 456, 107, 912, 996 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 456, 107, 912, 996?
GCD of 456, 107, 912, 996 is 1
2. Where do I get the detailed procedure to find GCD of 456, 107, 912, 996?
You can find a detailed procedure to find GCD of 456, 107, 912, 996 on our page.
3. How to find GCD of 456, 107, 912, 996 on a calculator?
You can find the GCD of 456, 107, 912, 996 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.