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 989, 295, 766, 493 i.e. 1 largest integer that divides all the numbers equally.
GCD of 989, 295, 766, 493 is 1
GCD(989, 295, 766, 493) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 989, 295, 766, 493 is 1
GCD(989, 295, 766, 493) = 1
Given Input numbers are 989, 295, 766, 493
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 989
List of positive integer divisors of 989 that divides 989 without a remainder.
1, 23, 43, 989
Divisors of 295
List of positive integer divisors of 295 that divides 295 without a remainder.
1, 5, 59, 295
Divisors of 766
List of positive integer divisors of 766 that divides 766 without a remainder.
1, 2, 383, 766
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 989, 295, 766, 493 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 989, 295, 766, 493 is 1.
Therefore, GCD of numbers 989, 295, 766, 493 is 1
Given Input Data is 989, 295, 766, 493
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 989 is 23 x 43
Prime Factorization of 295 is 5 x 59
Prime Factorization of 766 is 2 x 383
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(989, 295) = 291755
GCD(989, 295) = ( 989 x 295 ) / 291755
GCD(989, 295) = 291755 / 291755
GCD(989, 295) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 766
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 766) = 766
GCD(1, 766) = ( 1 x 766 ) / 766
GCD(1, 766) = 766 / 766
GCD(1, 766) = 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 989, 295, 766, 493 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 989, 295, 766, 493?
GCD of 989, 295, 766, 493 is 1
2. Where do I get the detailed procedure to find GCD of 989, 295, 766, 493?
You can find a detailed procedure to find GCD of 989, 295, 766, 493 on our page.
3. How to find GCD of 989, 295, 766, 493 on a calculator?
You can find the GCD of 989, 295, 766, 493 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.