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 163, 646, 71, 494 i.e. 1 largest integer that divides all the numbers equally.
GCD of 163, 646, 71, 494 is 1
GCD(163, 646, 71, 494) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 163, 646, 71, 494 is 1
GCD(163, 646, 71, 494) = 1
Given Input numbers are 163, 646, 71, 494
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 163
List of positive integer divisors of 163 that divides 163 without a remainder.
1, 163
Divisors of 646
List of positive integer divisors of 646 that divides 646 without a remainder.
1, 2, 17, 19, 34, 38, 323, 646
Divisors of 71
List of positive integer divisors of 71 that divides 71 without a remainder.
1, 71
Divisors of 494
List of positive integer divisors of 494 that divides 494 without a remainder.
1, 2, 13, 19, 26, 38, 247, 494
Greatest Common Divisior
We found the divisors of 163, 646, 71, 494 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 163, 646, 71, 494 is 1.
Therefore, GCD of numbers 163, 646, 71, 494 is 1
Given Input Data is 163, 646, 71, 494
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 163 is 163
Prime Factorization of 646 is 2 x 17 x 19
Prime Factorization of 71 is 71
Prime Factorization of 494 is 2 x 13 x 19
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(163, 646) = 105298
GCD(163, 646) = ( 163 x 646 ) / 105298
GCD(163, 646) = 105298 / 105298
GCD(163, 646) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 71
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 71) = 71
GCD(1, 71) = ( 1 x 71 ) / 71
GCD(1, 71) = 71 / 71
GCD(1, 71) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 494
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 494) = 494
GCD(1, 494) = ( 1 x 494 ) / 494
GCD(1, 494) = 494 / 494
GCD(1, 494) = 1
GCD of 163, 646, 71, 494 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 163, 646, 71, 494?
GCD of 163, 646, 71, 494 is 1
2. Where do I get the detailed procedure to find GCD of 163, 646, 71, 494?
You can find a detailed procedure to find GCD of 163, 646, 71, 494 on our page.
3. How to find GCD of 163, 646, 71, 494 on a calculator?
You can find the GCD of 163, 646, 71, 494 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.