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 730, 187, 71, 468 i.e. 1 largest integer that divides all the numbers equally.
GCD of 730, 187, 71, 468 is 1
GCD(730, 187, 71, 468) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 730, 187, 71, 468 is 1
GCD(730, 187, 71, 468) = 1
Given Input numbers are 730, 187, 71, 468
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 730
List of positive integer divisors of 730 that divides 730 without a remainder.
1, 2, 5, 10, 73, 146, 365, 730
Divisors of 187
List of positive integer divisors of 187 that divides 187 without a remainder.
1, 11, 17, 187
Divisors of 71
List of positive integer divisors of 71 that divides 71 without a remainder.
1, 71
Divisors of 468
List of positive integer divisors of 468 that divides 468 without a remainder.
1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
Greatest Common Divisior
We found the divisors of 730, 187, 71, 468 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 730, 187, 71, 468 is 1.
Therefore, GCD of numbers 730, 187, 71, 468 is 1
Given Input Data is 730, 187, 71, 468
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 730 is 2 x 5 x 73
Prime Factorization of 187 is 11 x 17
Prime Factorization of 71 is 71
Prime Factorization of 468 is 2 x 2 x 3 x 3 x 13
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(730, 187) = 136510
GCD(730, 187) = ( 730 x 187 ) / 136510
GCD(730, 187) = 136510 / 136510
GCD(730, 187) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 71
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 71) = 71
GCD(1, 71) = ( 1 x 71 ) / 71
GCD(1, 71) = 71 / 71
GCD(1, 71) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 468
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 468) = 468
GCD(1, 468) = ( 1 x 468 ) / 468
GCD(1, 468) = 468 / 468
GCD(1, 468) = 1
GCD of 730, 187, 71, 468 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 730, 187, 71, 468?
GCD of 730, 187, 71, 468 is 1
2. Where do I get the detailed procedure to find GCD of 730, 187, 71, 468?
You can find a detailed procedure to find GCD of 730, 187, 71, 468 on our page.
3. How to find GCD of 730, 187, 71, 468 on a calculator?
You can find the GCD of 730, 187, 71, 468 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.