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 478, 309, 170, 192 i.e. 1 largest integer that divides all the numbers equally.
GCD of 478, 309, 170, 192 is 1
GCD(478, 309, 170, 192) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 478, 309, 170, 192 is 1
GCD(478, 309, 170, 192) = 1
Given Input numbers are 478, 309, 170, 192
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 478
List of positive integer divisors of 478 that divides 478 without a remainder.
1, 2, 239, 478
Divisors of 309
List of positive integer divisors of 309 that divides 309 without a remainder.
1, 3, 103, 309
Divisors of 170
List of positive integer divisors of 170 that divides 170 without a remainder.
1, 2, 5, 10, 17, 34, 85, 170
Divisors of 192
List of positive integer divisors of 192 that divides 192 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192
Greatest Common Divisior
We found the divisors of 478, 309, 170, 192 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 478, 309, 170, 192 is 1.
Therefore, GCD of numbers 478, 309, 170, 192 is 1
Given Input Data is 478, 309, 170, 192
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 478 is 2 x 239
Prime Factorization of 309 is 3 x 103
Prime Factorization of 170 is 2 x 5 x 17
Prime Factorization of 192 is 2 x 2 x 2 x 2 x 2 x 2 x 3
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(478, 309) = 147702
GCD(478, 309) = ( 478 x 309 ) / 147702
GCD(478, 309) = 147702 / 147702
GCD(478, 309) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 170
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 170) = 170
GCD(1, 170) = ( 1 x 170 ) / 170
GCD(1, 170) = 170 / 170
GCD(1, 170) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 192
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 192) = 192
GCD(1, 192) = ( 1 x 192 ) / 192
GCD(1, 192) = 192 / 192
GCD(1, 192) = 1
GCD of 478, 309, 170, 192 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 478, 309, 170, 192?
GCD of 478, 309, 170, 192 is 1
2. Where do I get the detailed procedure to find GCD of 478, 309, 170, 192?
You can find a detailed procedure to find GCD of 478, 309, 170, 192 on our page.
3. How to find GCD of 478, 309, 170, 192 on a calculator?
You can find the GCD of 478, 309, 170, 192 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.