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 454, 996, 481, 689 i.e. 1 largest integer that divides all the numbers equally.
GCD of 454, 996, 481, 689 is 1
GCD(454, 996, 481, 689) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 454, 996, 481, 689 is 1
GCD(454, 996, 481, 689) = 1
Given Input numbers are 454, 996, 481, 689
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 454
List of positive integer divisors of 454 that divides 454 without a remainder.
1, 2, 227, 454
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
Divisors of 481
List of positive integer divisors of 481 that divides 481 without a remainder.
1, 13, 37, 481
Divisors of 689
List of positive integer divisors of 689 that divides 689 without a remainder.
1, 13, 53, 689
Greatest Common Divisior
We found the divisors of 454, 996, 481, 689 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 454, 996, 481, 689 is 1.
Therefore, GCD of numbers 454, 996, 481, 689 is 1
Given Input Data is 454, 996, 481, 689
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 454 is 2 x 227
Prime Factorization of 996 is 2 x 2 x 3 x 83
Prime Factorization of 481 is 13 x 37
Prime Factorization of 689 is 13 x 53
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(454, 996) = 226092
GCD(454, 996) = ( 454 x 996 ) / 226092
GCD(454, 996) = 452184 / 226092
GCD(454, 996) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 481
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 481) = 962
GCD(2, 481) = ( 2 x 481 ) / 962
GCD(2, 481) = 962 / 962
GCD(2, 481) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 689
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 689) = 689
GCD(1, 689) = ( 1 x 689 ) / 689
GCD(1, 689) = 689 / 689
GCD(1, 689) = 1
GCD of 454, 996, 481, 689 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 454, 996, 481, 689?
GCD of 454, 996, 481, 689 is 1
2. Where do I get the detailed procedure to find GCD of 454, 996, 481, 689?
You can find a detailed procedure to find GCD of 454, 996, 481, 689 on our page.
3. How to find GCD of 454, 996, 481, 689 on a calculator?
You can find the GCD of 454, 996, 481, 689 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.