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, 948, 89 i.e. 1 largest integer that divides all the numbers equally.
GCD of 197, 948, 89 is 1
GCD(197, 948, 89) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 197, 948, 89 is 1
GCD(197, 948, 89) = 1
Given Input numbers are 197, 948, 89
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 948
List of positive integer divisors of 948 that divides 948 without a remainder.
1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948
Divisors of 89
List of positive integer divisors of 89 that divides 89 without a remainder.
1, 89
Greatest Common Divisior
We found the divisors of 197, 948, 89 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 197, 948, 89 is 1.
Therefore, GCD of numbers 197, 948, 89 is 1
Given Input Data is 197, 948, 89
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 197 is 197
Prime Factorization of 948 is 2 x 2 x 3 x 79
Prime Factorization of 89 is 89
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, 948) = 186756
GCD(197, 948) = ( 197 x 948 ) / 186756
GCD(197, 948) = 186756 / 186756
GCD(197, 948) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 89
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 89) = 89
GCD(1, 89) = ( 1 x 89 ) / 89
GCD(1, 89) = 89 / 89
GCD(1, 89) = 1
GCD of 197, 948, 89 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 197, 948, 89?
GCD of 197, 948, 89 is 1
2. Where do I get the detailed procedure to find GCD of 197, 948, 89?
You can find a detailed procedure to find GCD of 197, 948, 89 on our page.
3. How to find GCD of 197, 948, 89 on a calculator?
You can find the GCD of 197, 948, 89 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.