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, 205, 289, 143 i.e. 1 largest integer that divides all the numbers equally.
GCD of 308, 205, 289, 143 is 1
GCD(308, 205, 289, 143) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 308, 205, 289, 143 is 1
GCD(308, 205, 289, 143) = 1
Given Input numbers are 308, 205, 289, 143
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 205
List of positive integer divisors of 205 that divides 205 without a remainder.
1, 5, 41, 205
Divisors of 289
List of positive integer divisors of 289 that divides 289 without a remainder.
1, 17, 289
Divisors of 143
List of positive integer divisors of 143 that divides 143 without a remainder.
1, 11, 13, 143
Greatest Common Divisior
We found the divisors of 308, 205, 289, 143 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 308, 205, 289, 143 is 1.
Therefore, GCD of numbers 308, 205, 289, 143 is 1
Given Input Data is 308, 205, 289, 143
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 205 is 5 x 41
Prime Factorization of 289 is 17 x 17
Prime Factorization of 143 is 11 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(308, 205) = 63140
GCD(308, 205) = ( 308 x 205 ) / 63140
GCD(308, 205) = 63140 / 63140
GCD(308, 205) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 289
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 289) = 289
GCD(1, 289) = ( 1 x 289 ) / 289
GCD(1, 289) = 289 / 289
GCD(1, 289) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 143
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 143) = 143
GCD(1, 143) = ( 1 x 143 ) / 143
GCD(1, 143) = 143 / 143
GCD(1, 143) = 1
GCD of 308, 205, 289, 143 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 308, 205, 289, 143?
GCD of 308, 205, 289, 143 is 1
2. Where do I get the detailed procedure to find GCD of 308, 205, 289, 143?
You can find a detailed procedure to find GCD of 308, 205, 289, 143 on our page.
3. How to find GCD of 308, 205, 289, 143 on a calculator?
You can find the GCD of 308, 205, 289, 143 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.