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 308, 269, 45 i.e. 1 largest integer that divides all the numbers equally.
GCD of 308, 269, 45 is 1
GCD(308, 269, 45) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 308, 269, 45 is 1
GCD(308, 269, 45) = 1
Given Input numbers are 308, 269, 45
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 308
List of positive integer divisors of 308 that divides 308 without a remainder.
1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
Divisors of 269
List of positive integer divisors of 269 that divides 269 without a remainder.
1, 269
Divisors of 45
List of positive integer divisors of 45 that divides 45 without a remainder.
1, 3, 5, 9, 15, 45
Greatest Common Divisior
We found the divisors of 308, 269, 45 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 308, 269, 45 is 1.
Therefore, GCD of numbers 308, 269, 45 is 1
Given Input Data is 308, 269, 45
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 308 is 2 x 2 x 7 x 11
Prime Factorization of 269 is 269
Prime Factorization of 45 is 3 x 3 x 5
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(308, 269) = 82852
GCD(308, 269) = ( 308 x 269 ) / 82852
GCD(308, 269) = 82852 / 82852
GCD(308, 269) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 45
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 45) = 45
GCD(1, 45) = ( 1 x 45 ) / 45
GCD(1, 45) = 45 / 45
GCD(1, 45) = 1
GCD of 308, 269, 45 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 308, 269, 45?
GCD of 308, 269, 45 is 1
2. Where do I get the detailed procedure to find GCD of 308, 269, 45?
You can find a detailed procedure to find GCD of 308, 269, 45 on our page.
3. How to find GCD of 308, 269, 45 on a calculator?
You can find the GCD of 308, 269, 45 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.