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 740, 389, 860, 493 i.e. 1 largest integer that divides all the numbers equally.
GCD of 740, 389, 860, 493 is 1
GCD(740, 389, 860, 493) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 740, 389, 860, 493 is 1
GCD(740, 389, 860, 493) = 1
Given Input numbers are 740, 389, 860, 493
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 740
List of positive integer divisors of 740 that divides 740 without a remainder.
1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740
Divisors of 389
List of positive integer divisors of 389 that divides 389 without a remainder.
1, 389
Divisors of 860
List of positive integer divisors of 860 that divides 860 without a remainder.
1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860
Divisors of 493
List of positive integer divisors of 493 that divides 493 without a remainder.
1, 17, 29, 493
Greatest Common Divisior
We found the divisors of 740, 389, 860, 493 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 740, 389, 860, 493 is 1.
Therefore, GCD of numbers 740, 389, 860, 493 is 1
Given Input Data is 740, 389, 860, 493
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 740 is 2 x 2 x 5 x 37
Prime Factorization of 389 is 389
Prime Factorization of 860 is 2 x 2 x 5 x 43
Prime Factorization of 493 is 17 x 29
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(740, 389) = 287860
GCD(740, 389) = ( 740 x 389 ) / 287860
GCD(740, 389) = 287860 / 287860
GCD(740, 389) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 860
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 860) = 860
GCD(1, 860) = ( 1 x 860 ) / 860
GCD(1, 860) = 860 / 860
GCD(1, 860) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 493
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 493) = 493
GCD(1, 493) = ( 1 x 493 ) / 493
GCD(1, 493) = 493 / 493
GCD(1, 493) = 1
GCD of 740, 389, 860, 493 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 740, 389, 860, 493?
GCD of 740, 389, 860, 493 is 1
2. Where do I get the detailed procedure to find GCD of 740, 389, 860, 493?
You can find a detailed procedure to find GCD of 740, 389, 860, 493 on our page.
3. How to find GCD of 740, 389, 860, 493 on a calculator?
You can find the GCD of 740, 389, 860, 493 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.