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 197, 387, 90, 111 i.e. 1 largest integer that divides all the numbers equally.
GCD of 197, 387, 90, 111 is 1
GCD(197, 387, 90, 111) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 197, 387, 90, 111 is 1
GCD(197, 387, 90, 111) = 1
Given Input numbers are 197, 387, 90, 111
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 197
List of positive integer divisors of 197 that divides 197 without a remainder.
1, 197
Divisors of 387
List of positive integer divisors of 387 that divides 387 without a remainder.
1, 3, 9, 43, 129, 387
Divisors of 90
List of positive integer divisors of 90 that divides 90 without a remainder.
1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90
Divisors of 111
List of positive integer divisors of 111 that divides 111 without a remainder.
1, 3, 37, 111
Greatest Common Divisior
We found the divisors of 197, 387, 90, 111 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 197, 387, 90, 111 is 1.
Therefore, GCD of numbers 197, 387, 90, 111 is 1
Given Input Data is 197, 387, 90, 111
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 197 is 197
Prime Factorization of 387 is 3 x 3 x 43
Prime Factorization of 90 is 2 x 3 x 3 x 5
Prime Factorization of 111 is 3 x 37
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(197, 387) = 76239
GCD(197, 387) = ( 197 x 387 ) / 76239
GCD(197, 387) = 76239 / 76239
GCD(197, 387) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 90
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 90) = 90
GCD(1, 90) = ( 1 x 90 ) / 90
GCD(1, 90) = 90 / 90
GCD(1, 90) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 111
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 111) = 111
GCD(1, 111) = ( 1 x 111 ) / 111
GCD(1, 111) = 111 / 111
GCD(1, 111) = 1
GCD of 197, 387, 90, 111 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 197, 387, 90, 111?
GCD of 197, 387, 90, 111 is 1
2. Where do I get the detailed procedure to find GCD of 197, 387, 90, 111?
You can find a detailed procedure to find GCD of 197, 387, 90, 111 on our page.
3. How to find GCD of 197, 387, 90, 111 on a calculator?
You can find the GCD of 197, 387, 90, 111 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.