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, 293, 466, 357 i.e. 1 largest integer that divides all the numbers equally.
GCD of 730, 293, 466, 357 is 1
GCD(730, 293, 466, 357) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 730, 293, 466, 357 is 1
GCD(730, 293, 466, 357) = 1
Given Input numbers are 730, 293, 466, 357
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 293
List of positive integer divisors of 293 that divides 293 without a remainder.
1, 293
Divisors of 466
List of positive integer divisors of 466 that divides 466 without a remainder.
1, 2, 233, 466
Divisors of 357
List of positive integer divisors of 357 that divides 357 without a remainder.
1, 3, 7, 17, 21, 51, 119, 357
Greatest Common Divisior
We found the divisors of 730, 293, 466, 357 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 730, 293, 466, 357 is 1.
Therefore, GCD of numbers 730, 293, 466, 357 is 1
Given Input Data is 730, 293, 466, 357
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 293 is 293
Prime Factorization of 466 is 2 x 233
Prime Factorization of 357 is 3 x 7 x 17
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, 293) = 213890
GCD(730, 293) = ( 730 x 293 ) / 213890
GCD(730, 293) = 213890 / 213890
GCD(730, 293) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 466
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 466) = 466
GCD(1, 466) = ( 1 x 466 ) / 466
GCD(1, 466) = 466 / 466
GCD(1, 466) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 357
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 357) = 357
GCD(1, 357) = ( 1 x 357 ) / 357
GCD(1, 357) = 357 / 357
GCD(1, 357) = 1
GCD of 730, 293, 466, 357 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 730, 293, 466, 357?
GCD of 730, 293, 466, 357 is 1
2. Where do I get the detailed procedure to find GCD of 730, 293, 466, 357?
You can find a detailed procedure to find GCD of 730, 293, 466, 357 on our page.
3. How to find GCD of 730, 293, 466, 357 on a calculator?
You can find the GCD of 730, 293, 466, 357 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.