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 99, 427, 468, 178 i.e. 1 largest integer that divides all the numbers equally.
GCD of 99, 427, 468, 178 is 1
GCD(99, 427, 468, 178) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 99, 427, 468, 178 is 1
GCD(99, 427, 468, 178) = 1
Given Input numbers are 99, 427, 468, 178
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 99
List of positive integer divisors of 99 that divides 99 without a remainder.
1, 3, 9, 11, 33, 99
Divisors of 427
List of positive integer divisors of 427 that divides 427 without a remainder.
1, 7, 61, 427
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
Divisors of 178
List of positive integer divisors of 178 that divides 178 without a remainder.
1, 2, 89, 178
Greatest Common Divisior
We found the divisors of 99, 427, 468, 178 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 99, 427, 468, 178 is 1.
Therefore, GCD of numbers 99, 427, 468, 178 is 1
Given Input Data is 99, 427, 468, 178
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 99 is 3 x 3 x 11
Prime Factorization of 427 is 7 x 61
Prime Factorization of 468 is 2 x 2 x 3 x 3 x 13
Prime Factorization of 178 is 2 x 89
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(99, 427) = 42273
GCD(99, 427) = ( 99 x 427 ) / 42273
GCD(99, 427) = 42273 / 42273
GCD(99, 427) = 1
Step2:
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
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 178
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 178) = 178
GCD(1, 178) = ( 1 x 178 ) / 178
GCD(1, 178) = 178 / 178
GCD(1, 178) = 1
GCD of 99, 427, 468, 178 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 99, 427, 468, 178?
GCD of 99, 427, 468, 178 is 1
2. Where do I get the detailed procedure to find GCD of 99, 427, 468, 178?
You can find a detailed procedure to find GCD of 99, 427, 468, 178 on our page.
3. How to find GCD of 99, 427, 468, 178 on a calculator?
You can find the GCD of 99, 427, 468, 178 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.