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 16, 254, 604, 179 i.e. 1 largest integer that divides all the numbers equally.
GCD of 16, 254, 604, 179 is 1
GCD(16, 254, 604, 179) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 16, 254, 604, 179 is 1
GCD(16, 254, 604, 179) = 1
Given Input numbers are 16, 254, 604, 179
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 16
List of positive integer divisors of 16 that divides 16 without a remainder.
1, 2, 4, 8, 16
Divisors of 254
List of positive integer divisors of 254 that divides 254 without a remainder.
1, 2, 127, 254
Divisors of 604
List of positive integer divisors of 604 that divides 604 without a remainder.
1, 2, 4, 151, 302, 604
Divisors of 179
List of positive integer divisors of 179 that divides 179 without a remainder.
1, 179
Greatest Common Divisior
We found the divisors of 16, 254, 604, 179 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 16, 254, 604, 179 is 1.
Therefore, GCD of numbers 16, 254, 604, 179 is 1
Given Input Data is 16, 254, 604, 179
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 16 is 2 x 2 x 2 x 2
Prime Factorization of 254 is 2 x 127
Prime Factorization of 604 is 2 x 2 x 151
Prime Factorization of 179 is 179
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(16, 254) = 2032
GCD(16, 254) = ( 16 x 254 ) / 2032
GCD(16, 254) = 4064 / 2032
GCD(16, 254) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 604
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 604) = 604
GCD(2, 604) = ( 2 x 604 ) / 604
GCD(2, 604) = 1208 / 604
GCD(2, 604) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 179
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 179) = 358
GCD(2, 179) = ( 2 x 179 ) / 358
GCD(2, 179) = 358 / 358
GCD(2, 179) = 1
GCD of 16, 254, 604, 179 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 16, 254, 604, 179?
GCD of 16, 254, 604, 179 is 1
2. Where do I get the detailed procedure to find GCD of 16, 254, 604, 179?
You can find a detailed procedure to find GCD of 16, 254, 604, 179 on our page.
3. How to find GCD of 16, 254, 604, 179 on a calculator?
You can find the GCD of 16, 254, 604, 179 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.