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 143, 105, 197 i.e. 1 largest integer that divides all the numbers equally.
GCD of 143, 105, 197 is 1
GCD(143, 105, 197) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 143, 105, 197 is 1
GCD(143, 105, 197) = 1
Given Input numbers are 143, 105, 197
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 143
List of positive integer divisors of 143 that divides 143 without a remainder.
1, 11, 13, 143
Divisors of 105
List of positive integer divisors of 105 that divides 105 without a remainder.
1, 3, 5, 7, 15, 21, 35, 105
Divisors of 197
List of positive integer divisors of 197 that divides 197 without a remainder.
1, 197
Greatest Common Divisior
We found the divisors of 143, 105, 197 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 143, 105, 197 is 1.
Therefore, GCD of numbers 143, 105, 197 is 1
Given Input Data is 143, 105, 197
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 143 is 11 x 13
Prime Factorization of 105 is 3 x 5 x 7
Prime Factorization of 197 is 197
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(143, 105) = 15015
GCD(143, 105) = ( 143 x 105 ) / 15015
GCD(143, 105) = 15015 / 15015
GCD(143, 105) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 197
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 197) = 197
GCD(1, 197) = ( 1 x 197 ) / 197
GCD(1, 197) = 197 / 197
GCD(1, 197) = 1
GCD of 143, 105, 197 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 143, 105, 197?
GCD of 143, 105, 197 is 1
2. Where do I get the detailed procedure to find GCD of 143, 105, 197?
You can find a detailed procedure to find GCD of 143, 105, 197 on our page.
3. How to find GCD of 143, 105, 197 on a calculator?
You can find the GCD of 143, 105, 197 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.