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 494, 838, 445, 165 i.e. 1 largest integer that divides all the numbers equally.
GCD of 494, 838, 445, 165 is 1
GCD(494, 838, 445, 165) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 494, 838, 445, 165 is 1
GCD(494, 838, 445, 165) = 1
Given Input numbers are 494, 838, 445, 165
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 494
List of positive integer divisors of 494 that divides 494 without a remainder.
1, 2, 13, 19, 26, 38, 247, 494
Divisors of 838
List of positive integer divisors of 838 that divides 838 without a remainder.
1, 2, 419, 838
Divisors of 445
List of positive integer divisors of 445 that divides 445 without a remainder.
1, 5, 89, 445
Divisors of 165
List of positive integer divisors of 165 that divides 165 without a remainder.
1, 3, 5, 11, 15, 33, 55, 165
Greatest Common Divisior
We found the divisors of 494, 838, 445, 165 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 494, 838, 445, 165 is 1.
Therefore, GCD of numbers 494, 838, 445, 165 is 1
Given Input Data is 494, 838, 445, 165
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 494 is 2 x 13 x 19
Prime Factorization of 838 is 2 x 419
Prime Factorization of 445 is 5 x 89
Prime Factorization of 165 is 3 x 5 x 11
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(494, 838) = 206986
GCD(494, 838) = ( 494 x 838 ) / 206986
GCD(494, 838) = 413972 / 206986
GCD(494, 838) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 445
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 445) = 890
GCD(2, 445) = ( 2 x 445 ) / 890
GCD(2, 445) = 890 / 890
GCD(2, 445) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 165
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 165) = 165
GCD(1, 165) = ( 1 x 165 ) / 165
GCD(1, 165) = 165 / 165
GCD(1, 165) = 1
GCD of 494, 838, 445, 165 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 494, 838, 445, 165?
GCD of 494, 838, 445, 165 is 1
2. Where do I get the detailed procedure to find GCD of 494, 838, 445, 165?
You can find a detailed procedure to find GCD of 494, 838, 445, 165 on our page.
3. How to find GCD of 494, 838, 445, 165 on a calculator?
You can find the GCD of 494, 838, 445, 165 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.