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 793, 212, 288, 308 i.e. 1 largest integer that divides all the numbers equally.
GCD of 793, 212, 288, 308 is 1
GCD(793, 212, 288, 308) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 793, 212, 288, 308 is 1
GCD(793, 212, 288, 308) = 1
Given Input numbers are 793, 212, 288, 308
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 793
List of positive integer divisors of 793 that divides 793 without a remainder.
1, 13, 61, 793
Divisors of 212
List of positive integer divisors of 212 that divides 212 without a remainder.
1, 2, 4, 53, 106, 212
Divisors of 288
List of positive integer divisors of 288 that divides 288 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
Divisors of 308
List of positive integer divisors of 308 that divides 308 without a remainder.
1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
Greatest Common Divisior
We found the divisors of 793, 212, 288, 308 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 793, 212, 288, 308 is 1.
Therefore, GCD of numbers 793, 212, 288, 308 is 1
Given Input Data is 793, 212, 288, 308
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 793 is 13 x 61
Prime Factorization of 212 is 2 x 2 x 53
Prime Factorization of 288 is 2 x 2 x 2 x 2 x 2 x 3 x 3
Prime Factorization of 308 is 2 x 2 x 7 x 11
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(793, 212) = 168116
GCD(793, 212) = ( 793 x 212 ) / 168116
GCD(793, 212) = 168116 / 168116
GCD(793, 212) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 288
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 288) = 288
GCD(1, 288) = ( 1 x 288 ) / 288
GCD(1, 288) = 288 / 288
GCD(1, 288) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 308
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 308) = 308
GCD(1, 308) = ( 1 x 308 ) / 308
GCD(1, 308) = 308 / 308
GCD(1, 308) = 1
GCD of 793, 212, 288, 308 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 793, 212, 288, 308?
GCD of 793, 212, 288, 308 is 1
2. Where do I get the detailed procedure to find GCD of 793, 212, 288, 308?
You can find a detailed procedure to find GCD of 793, 212, 288, 308 on our page.
3. How to find GCD of 793, 212, 288, 308 on a calculator?
You can find the GCD of 793, 212, 288, 308 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.