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, 464, 91, 254 i.e. 1 largest integer that divides all the numbers equally.
GCD of 494, 464, 91, 254 is 1
GCD(494, 464, 91, 254) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 494, 464, 91, 254 is 1
GCD(494, 464, 91, 254) = 1
Given Input numbers are 494, 464, 91, 254
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 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 91
List of positive integer divisors of 91 that divides 91 without a remainder.
1, 7, 13, 91
Divisors of 254
List of positive integer divisors of 254 that divides 254 without a remainder.
1, 2, 127, 254
Greatest Common Divisior
We found the divisors of 494, 464, 91, 254 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 494, 464, 91, 254 is 1.
Therefore, GCD of numbers 494, 464, 91, 254 is 1
Given Input Data is 494, 464, 91, 254
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 464 is 2 x 2 x 2 x 2 x 29
Prime Factorization of 91 is 7 x 13
Prime Factorization of 254 is 2 x 127
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, 464) = 114608
GCD(494, 464) = ( 494 x 464 ) / 114608
GCD(494, 464) = 229216 / 114608
GCD(494, 464) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 91
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 91) = 182
GCD(2, 91) = ( 2 x 91 ) / 182
GCD(2, 91) = 182 / 182
GCD(2, 91) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 254
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 254) = 254
GCD(1, 254) = ( 1 x 254 ) / 254
GCD(1, 254) = 254 / 254
GCD(1, 254) = 1
GCD of 494, 464, 91, 254 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 494, 464, 91, 254?
GCD of 494, 464, 91, 254 is 1
2. Where do I get the detailed procedure to find GCD of 494, 464, 91, 254?
You can find a detailed procedure to find GCD of 494, 464, 91, 254 on our page.
3. How to find GCD of 494, 464, 91, 254 on a calculator?
You can find the GCD of 494, 464, 91, 254 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.