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 171, 266, 334, 730 i.e. 1 largest integer that divides all the numbers equally.
GCD of 171, 266, 334, 730 is 1
GCD(171, 266, 334, 730) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 171, 266, 334, 730 is 1
GCD(171, 266, 334, 730) = 1
Given Input numbers are 171, 266, 334, 730
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 171
List of positive integer divisors of 171 that divides 171 without a remainder.
1, 3, 9, 19, 57, 171
Divisors of 266
List of positive integer divisors of 266 that divides 266 without a remainder.
1, 2, 7, 14, 19, 38, 133, 266
Divisors of 334
List of positive integer divisors of 334 that divides 334 without a remainder.
1, 2, 167, 334
Divisors of 730
List of positive integer divisors of 730 that divides 730 without a remainder.
1, 2, 5, 10, 73, 146, 365, 730
Greatest Common Divisior
We found the divisors of 171, 266, 334, 730 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 171, 266, 334, 730 is 1.
Therefore, GCD of numbers 171, 266, 334, 730 is 1
Given Input Data is 171, 266, 334, 730
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 171 is 3 x 3 x 19
Prime Factorization of 266 is 2 x 7 x 19
Prime Factorization of 334 is 2 x 167
Prime Factorization of 730 is 2 x 5 x 73
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(171, 266) = 2394
GCD(171, 266) = ( 171 x 266 ) / 2394
GCD(171, 266) = 45486 / 2394
GCD(171, 266) = 19
Step2:
Here we consider the GCD from the above i.e. 19 as first number and the next as 334
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(19, 334) = 6346
GCD(19, 334) = ( 19 x 334 ) / 6346
GCD(19, 334) = 6346 / 6346
GCD(19, 334) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 730
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 730) = 730
GCD(1, 730) = ( 1 x 730 ) / 730
GCD(1, 730) = 730 / 730
GCD(1, 730) = 1
GCD of 171, 266, 334, 730 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 171, 266, 334, 730?
GCD of 171, 266, 334, 730 is 1
2. Where do I get the detailed procedure to find GCD of 171, 266, 334, 730?
You can find a detailed procedure to find GCD of 171, 266, 334, 730 on our page.
3. How to find GCD of 171, 266, 334, 730 on a calculator?
You can find the GCD of 171, 266, 334, 730 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.