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 809, 989, 948 i.e. 1 largest integer that divides all the numbers equally.
GCD of 809, 989, 948 is 1
GCD(809, 989, 948) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 809, 989, 948 is 1
GCD(809, 989, 948) = 1
Given Input numbers are 809, 989, 948
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 809
List of positive integer divisors of 809 that divides 809 without a remainder.
1, 809
Divisors of 989
List of positive integer divisors of 989 that divides 989 without a remainder.
1, 23, 43, 989
Divisors of 948
List of positive integer divisors of 948 that divides 948 without a remainder.
1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948
Greatest Common Divisior
We found the divisors of 809, 989, 948 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 809, 989, 948 is 1.
Therefore, GCD of numbers 809, 989, 948 is 1
Given Input Data is 809, 989, 948
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 809 is 809
Prime Factorization of 989 is 23 x 43
Prime Factorization of 948 is 2 x 2 x 3 x 79
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(809, 989) = 800101
GCD(809, 989) = ( 809 x 989 ) / 800101
GCD(809, 989) = 800101 / 800101
GCD(809, 989) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 948
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 948) = 948
GCD(1, 948) = ( 1 x 948 ) / 948
GCD(1, 948) = 948 / 948
GCD(1, 948) = 1
GCD of 809, 989, 948 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 809, 989, 948?
GCD of 809, 989, 948 is 1
2. Where do I get the detailed procedure to find GCD of 809, 989, 948?
You can find a detailed procedure to find GCD of 809, 989, 948 on our page.
3. How to find GCD of 809, 989, 948 on a calculator?
You can find the GCD of 809, 989, 948 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.