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, 831, 148, 858 i.e. 1 largest integer that divides all the numbers equally.
GCD of 494, 831, 148, 858 is 1
GCD(494, 831, 148, 858) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 494, 831, 148, 858 is 1
GCD(494, 831, 148, 858) = 1
Given Input numbers are 494, 831, 148, 858
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 831
List of positive integer divisors of 831 that divides 831 without a remainder.
1, 3, 277, 831
Divisors of 148
List of positive integer divisors of 148 that divides 148 without a remainder.
1, 2, 4, 37, 74, 148
Divisors of 858
List of positive integer divisors of 858 that divides 858 without a remainder.
1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
Greatest Common Divisior
We found the divisors of 494, 831, 148, 858 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 494, 831, 148, 858 is 1.
Therefore, GCD of numbers 494, 831, 148, 858 is 1
Given Input Data is 494, 831, 148, 858
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 831 is 3 x 277
Prime Factorization of 148 is 2 x 2 x 37
Prime Factorization of 858 is 2 x 3 x 11 x 13
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, 831) = 410514
GCD(494, 831) = ( 494 x 831 ) / 410514
GCD(494, 831) = 410514 / 410514
GCD(494, 831) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 148
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 148) = 148
GCD(1, 148) = ( 1 x 148 ) / 148
GCD(1, 148) = 148 / 148
GCD(1, 148) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 858
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 858) = 858
GCD(1, 858) = ( 1 x 858 ) / 858
GCD(1, 858) = 858 / 858
GCD(1, 858) = 1
GCD of 494, 831, 148, 858 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 494, 831, 148, 858?
GCD of 494, 831, 148, 858 is 1
2. Where do I get the detailed procedure to find GCD of 494, 831, 148, 858?
You can find a detailed procedure to find GCD of 494, 831, 148, 858 on our page.
3. How to find GCD of 494, 831, 148, 858 on a calculator?
You can find the GCD of 494, 831, 148, 858 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.