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 71, 195, 489, 266 i.e. 1 largest integer that divides all the numbers equally.
GCD of 71, 195, 489, 266 is 1
GCD(71, 195, 489, 266) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 71, 195, 489, 266 is 1
GCD(71, 195, 489, 266) = 1
Given Input numbers are 71, 195, 489, 266
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 71
List of positive integer divisors of 71 that divides 71 without a remainder.
1, 71
Divisors of 195
List of positive integer divisors of 195 that divides 195 without a remainder.
1, 3, 5, 13, 15, 39, 65, 195
Divisors of 489
List of positive integer divisors of 489 that divides 489 without a remainder.
1, 3, 163, 489
Divisors of 266
List of positive integer divisors of 266 that divides 266 without a remainder.
1, 2, 7, 14, 19, 38, 133, 266
Greatest Common Divisior
We found the divisors of 71, 195, 489, 266 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 71, 195, 489, 266 is 1.
Therefore, GCD of numbers 71, 195, 489, 266 is 1
Given Input Data is 71, 195, 489, 266
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 71 is 71
Prime Factorization of 195 is 3 x 5 x 13
Prime Factorization of 489 is 3 x 163
Prime Factorization of 266 is 2 x 7 x 19
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(71, 195) = 13845
GCD(71, 195) = ( 71 x 195 ) / 13845
GCD(71, 195) = 13845 / 13845
GCD(71, 195) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 489
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 489) = 489
GCD(1, 489) = ( 1 x 489 ) / 489
GCD(1, 489) = 489 / 489
GCD(1, 489) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 266
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 266) = 266
GCD(1, 266) = ( 1 x 266 ) / 266
GCD(1, 266) = 266 / 266
GCD(1, 266) = 1
GCD of 71, 195, 489, 266 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 71, 195, 489, 266?
GCD of 71, 195, 489, 266 is 1
2. Where do I get the detailed procedure to find GCD of 71, 195, 489, 266?
You can find a detailed procedure to find GCD of 71, 195, 489, 266 on our page.
3. How to find GCD of 71, 195, 489, 266 on a calculator?
You can find the GCD of 71, 195, 489, 266 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.