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 808, 713, 142, 496 i.e. 1 largest integer that divides all the numbers equally.
GCD of 808, 713, 142, 496 is 1
GCD(808, 713, 142, 496) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 808, 713, 142, 496 is 1
GCD(808, 713, 142, 496) = 1
Given Input numbers are 808, 713, 142, 496
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 808
List of positive integer divisors of 808 that divides 808 without a remainder.
1, 2, 4, 8, 101, 202, 404, 808
Divisors of 713
List of positive integer divisors of 713 that divides 713 without a remainder.
1, 23, 31, 713
Divisors of 142
List of positive integer divisors of 142 that divides 142 without a remainder.
1, 2, 71, 142
Divisors of 496
List of positive integer divisors of 496 that divides 496 without a remainder.
1, 2, 4, 8, 16, 31, 62, 124, 248, 496
Greatest Common Divisior
We found the divisors of 808, 713, 142, 496 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 808, 713, 142, 496 is 1.
Therefore, GCD of numbers 808, 713, 142, 496 is 1
Given Input Data is 808, 713, 142, 496
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 808 is 2 x 2 x 2 x 101
Prime Factorization of 713 is 23 x 31
Prime Factorization of 142 is 2 x 71
Prime Factorization of 496 is 2 x 2 x 2 x 2 x 31
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(808, 713) = 576104
GCD(808, 713) = ( 808 x 713 ) / 576104
GCD(808, 713) = 576104 / 576104
GCD(808, 713) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 142
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 142) = 142
GCD(1, 142) = ( 1 x 142 ) / 142
GCD(1, 142) = 142 / 142
GCD(1, 142) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 496
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 496) = 496
GCD(1, 496) = ( 1 x 496 ) / 496
GCD(1, 496) = 496 / 496
GCD(1, 496) = 1
GCD of 808, 713, 142, 496 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 808, 713, 142, 496?
GCD of 808, 713, 142, 496 is 1
2. Where do I get the detailed procedure to find GCD of 808, 713, 142, 496?
You can find a detailed procedure to find GCD of 808, 713, 142, 496 on our page.
3. How to find GCD of 808, 713, 142, 496 on a calculator?
You can find the GCD of 808, 713, 142, 496 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.