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 87, 455, 428, 468 i.e. 1 largest integer that divides all the numbers equally.
GCD of 87, 455, 428, 468 is 1
GCD(87, 455, 428, 468) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 87, 455, 428, 468 is 1
GCD(87, 455, 428, 468) = 1
Given Input numbers are 87, 455, 428, 468
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 87
List of positive integer divisors of 87 that divides 87 without a remainder.
1, 3, 29, 87
Divisors of 455
List of positive integer divisors of 455 that divides 455 without a remainder.
1, 5, 7, 13, 35, 65, 91, 455
Divisors of 428
List of positive integer divisors of 428 that divides 428 without a remainder.
1, 2, 4, 107, 214, 428
Divisors of 468
List of positive integer divisors of 468 that divides 468 without a remainder.
1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
Greatest Common Divisior
We found the divisors of 87, 455, 428, 468 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 87, 455, 428, 468 is 1.
Therefore, GCD of numbers 87, 455, 428, 468 is 1
Given Input Data is 87, 455, 428, 468
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 87 is 3 x 29
Prime Factorization of 455 is 5 x 7 x 13
Prime Factorization of 428 is 2 x 2 x 107
Prime Factorization of 468 is 2 x 2 x 3 x 3 x 13
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(87, 455) = 39585
GCD(87, 455) = ( 87 x 455 ) / 39585
GCD(87, 455) = 39585 / 39585
GCD(87, 455) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 428
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 428) = 428
GCD(1, 428) = ( 1 x 428 ) / 428
GCD(1, 428) = 428 / 428
GCD(1, 428) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 468
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 468) = 468
GCD(1, 468) = ( 1 x 468 ) / 468
GCD(1, 468) = 468 / 468
GCD(1, 468) = 1
GCD of 87, 455, 428, 468 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 87, 455, 428, 468?
GCD of 87, 455, 428, 468 is 1
2. Where do I get the detailed procedure to find GCD of 87, 455, 428, 468?
You can find a detailed procedure to find GCD of 87, 455, 428, 468 on our page.
3. How to find GCD of 87, 455, 428, 468 on a calculator?
You can find the GCD of 87, 455, 428, 468 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.