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 587, 730, 492 i.e. 1 largest integer that divides all the numbers equally.
GCD of 587, 730, 492 is 1
GCD(587, 730, 492) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 587, 730, 492 is 1
GCD(587, 730, 492) = 1
Given Input numbers are 587, 730, 492
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 587
List of positive integer divisors of 587 that divides 587 without a remainder.
1, 587
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 492
List of positive integer divisors of 492 that divides 492 without a remainder.
1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492
Greatest Common Divisior
We found the divisors of 587, 730, 492 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 587, 730, 492 is 1.
Therefore, GCD of numbers 587, 730, 492 is 1
Given Input Data is 587, 730, 492
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 587 is 587
Prime Factorization of 730 is 2 x 5 x 73
Prime Factorization of 492 is 2 x 2 x 3 x 41
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(587, 730) = 428510
GCD(587, 730) = ( 587 x 730 ) / 428510
GCD(587, 730) = 428510 / 428510
GCD(587, 730) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 492
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 492) = 492
GCD(1, 492) = ( 1 x 492 ) / 492
GCD(1, 492) = 492 / 492
GCD(1, 492) = 1
GCD of 587, 730, 492 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 587, 730, 492?
GCD of 587, 730, 492 is 1
2. Where do I get the detailed procedure to find GCD of 587, 730, 492?
You can find a detailed procedure to find GCD of 587, 730, 492 on our page.
3. How to find GCD of 587, 730, 492 on a calculator?
You can find the GCD of 587, 730, 492 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.