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 117, 457, 266 i.e. 1 largest integer that divides all the numbers equally.
GCD of 117, 457, 266 is 1
GCD(117, 457, 266) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 117, 457, 266 is 1
GCD(117, 457, 266) = 1
Given Input numbers are 117, 457, 266
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 117
List of positive integer divisors of 117 that divides 117 without a remainder.
1, 3, 9, 13, 39, 117
Divisors of 457
List of positive integer divisors of 457 that divides 457 without a remainder.
1, 457
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 117, 457, 266 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 117, 457, 266 is 1.
Therefore, GCD of numbers 117, 457, 266 is 1
Given Input Data is 117, 457, 266
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 117 is 3 x 3 x 13
Prime Factorization of 457 is 457
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(117, 457) = 53469
GCD(117, 457) = ( 117 x 457 ) / 53469
GCD(117, 457) = 53469 / 53469
GCD(117, 457) = 1
Step2:
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 117, 457, 266 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 117, 457, 266?
GCD of 117, 457, 266 is 1
2. Where do I get the detailed procedure to find GCD of 117, 457, 266?
You can find a detailed procedure to find GCD of 117, 457, 266 on our page.
3. How to find GCD of 117, 457, 266 on a calculator?
You can find the GCD of 117, 457, 266 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.