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 269, 464, 845, 494 i.e. 1 largest integer that divides all the numbers equally.
GCD of 269, 464, 845, 494 is 1
GCD(269, 464, 845, 494) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 269, 464, 845, 494 is 1
GCD(269, 464, 845, 494) = 1
Given Input numbers are 269, 464, 845, 494
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 269
List of positive integer divisors of 269 that divides 269 without a remainder.
1, 269
Divisors of 464
List of positive integer divisors of 464 that divides 464 without a remainder.
1, 2, 4, 8, 16, 29, 58, 116, 232, 464
Divisors of 845
List of positive integer divisors of 845 that divides 845 without a remainder.
1, 5, 13, 65, 169, 845
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 269, 464, 845, 494 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 269, 464, 845, 494 is 1.
Therefore, GCD of numbers 269, 464, 845, 494 is 1
Given Input Data is 269, 464, 845, 494
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 269 is 269
Prime Factorization of 464 is 2 x 2 x 2 x 2 x 29
Prime Factorization of 845 is 5 x 13 x 13
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(269, 464) = 124816
GCD(269, 464) = ( 269 x 464 ) / 124816
GCD(269, 464) = 124816 / 124816
GCD(269, 464) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 845
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 845) = 845
GCD(1, 845) = ( 1 x 845 ) / 845
GCD(1, 845) = 845 / 845
GCD(1, 845) = 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 269, 464, 845, 494 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 269, 464, 845, 494?
GCD of 269, 464, 845, 494 is 1
2. Where do I get the detailed procedure to find GCD of 269, 464, 845, 494?
You can find a detailed procedure to find GCD of 269, 464, 845, 494 on our page.
3. How to find GCD of 269, 464, 845, 494 on a calculator?
You can find the GCD of 269, 464, 845, 494 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.