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, 264, 80, 789 i.e. 1 largest integer that divides all the numbers equally.
GCD of 454, 264, 80, 789 is 1
GCD(454, 264, 80, 789) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 454, 264, 80, 789 is 1
GCD(454, 264, 80, 789) = 1
Given Input numbers are 454, 264, 80, 789
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 264
List of positive integer divisors of 264 that divides 264 without a remainder.
1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
Divisors of 80
List of positive integer divisors of 80 that divides 80 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 40, 80
Divisors of 789
List of positive integer divisors of 789 that divides 789 without a remainder.
1, 3, 263, 789
Greatest Common Divisior
We found the divisors of 454, 264, 80, 789 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 454, 264, 80, 789 is 1.
Therefore, GCD of numbers 454, 264, 80, 789 is 1
Given Input Data is 454, 264, 80, 789
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 454 is 2 x 227
Prime Factorization of 264 is 2 x 2 x 2 x 3 x 11
Prime Factorization of 80 is 2 x 2 x 2 x 2 x 5
Prime Factorization of 789 is 3 x 263
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, 264) = 59928
GCD(454, 264) = ( 454 x 264 ) / 59928
GCD(454, 264) = 119856 / 59928
GCD(454, 264) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 80
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 80) = 80
GCD(2, 80) = ( 2 x 80 ) / 80
GCD(2, 80) = 160 / 80
GCD(2, 80) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 789
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 789) = 1578
GCD(2, 789) = ( 2 x 789 ) / 1578
GCD(2, 789) = 1578 / 1578
GCD(2, 789) = 1
GCD of 454, 264, 80, 789 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 454, 264, 80, 789?
GCD of 454, 264, 80, 789 is 1
2. Where do I get the detailed procedure to find GCD of 454, 264, 80, 789?
You can find a detailed procedure to find GCD of 454, 264, 80, 789 on our page.
3. How to find GCD of 454, 264, 80, 789 on a calculator?
You can find the GCD of 454, 264, 80, 789 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.