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 484, 946, 85, 809 i.e. 1 largest integer that divides all the numbers equally.
GCD of 484, 946, 85, 809 is 1
GCD(484, 946, 85, 809) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 484, 946, 85, 809 is 1
GCD(484, 946, 85, 809) = 1
Given Input numbers are 484, 946, 85, 809
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 484
List of positive integer divisors of 484 that divides 484 without a remainder.
1, 2, 4, 11, 22, 44, 121, 242, 484
Divisors of 946
List of positive integer divisors of 946 that divides 946 without a remainder.
1, 2, 11, 22, 43, 86, 473, 946
Divisors of 85
List of positive integer divisors of 85 that divides 85 without a remainder.
1, 5, 17, 85
Divisors of 809
List of positive integer divisors of 809 that divides 809 without a remainder.
1, 809
Greatest Common Divisior
We found the divisors of 484, 946, 85, 809 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 484, 946, 85, 809 is 1.
Therefore, GCD of numbers 484, 946, 85, 809 is 1
Given Input Data is 484, 946, 85, 809
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 484 is 2 x 2 x 11 x 11
Prime Factorization of 946 is 2 x 11 x 43
Prime Factorization of 85 is 5 x 17
Prime Factorization of 809 is 809
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(484, 946) = 20812
GCD(484, 946) = ( 484 x 946 ) / 20812
GCD(484, 946) = 457864 / 20812
GCD(484, 946) = 22
Step2:
Here we consider the GCD from the above i.e. 22 as first number and the next as 85
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(22, 85) = 1870
GCD(22, 85) = ( 22 x 85 ) / 1870
GCD(22, 85) = 1870 / 1870
GCD(22, 85) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 809
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 809) = 809
GCD(1, 809) = ( 1 x 809 ) / 809
GCD(1, 809) = 809 / 809
GCD(1, 809) = 1
GCD of 484, 946, 85, 809 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 484, 946, 85, 809?
GCD of 484, 946, 85, 809 is 1
2. Where do I get the detailed procedure to find GCD of 484, 946, 85, 809?
You can find a detailed procedure to find GCD of 484, 946, 85, 809 on our page.
3. How to find GCD of 484, 946, 85, 809 on a calculator?
You can find the GCD of 484, 946, 85, 809 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.