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 889, 307, 493 i.e. 1 largest integer that divides all the numbers equally.
GCD of 889, 307, 493 is 1
GCD(889, 307, 493) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 889, 307, 493 is 1
GCD(889, 307, 493) = 1
Given Input numbers are 889, 307, 493
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 889
List of positive integer divisors of 889 that divides 889 without a remainder.
1, 7, 127, 889
Divisors of 307
List of positive integer divisors of 307 that divides 307 without a remainder.
1, 307
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 889, 307, 493 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 889, 307, 493 is 1.
Therefore, GCD of numbers 889, 307, 493 is 1
Given Input Data is 889, 307, 493
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 889 is 7 x 127
Prime Factorization of 307 is 307
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(889, 307) = 272923
GCD(889, 307) = ( 889 x 307 ) / 272923
GCD(889, 307) = 272923 / 272923
GCD(889, 307) = 1
Step2:
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 889, 307, 493 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 889, 307, 493?
GCD of 889, 307, 493 is 1
2. Where do I get the detailed procedure to find GCD of 889, 307, 493?
You can find a detailed procedure to find GCD of 889, 307, 493 on our page.
3. How to find GCD of 889, 307, 493 on a calculator?
You can find the GCD of 889, 307, 493 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.