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 308, 316, 763 i.e. 1 largest integer that divides all the numbers equally.
GCD of 308, 316, 763 is 1
GCD(308, 316, 763) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 308, 316, 763 is 1
GCD(308, 316, 763) = 1
Given Input numbers are 308, 316, 763
To find the GCD of numbers using factoring list out all the divisors of each number
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
Divisors of 316
List of positive integer divisors of 316 that divides 316 without a remainder.
1, 2, 4, 79, 158, 316
Divisors of 763
List of positive integer divisors of 763 that divides 763 without a remainder.
1, 7, 109, 763
Greatest Common Divisior
We found the divisors of 308, 316, 763 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 308, 316, 763 is 1.
Therefore, GCD of numbers 308, 316, 763 is 1
Given Input Data is 308, 316, 763
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 308 is 2 x 2 x 7 x 11
Prime Factorization of 316 is 2 x 2 x 79
Prime Factorization of 763 is 7 x 109
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(308, 316) = 24332
GCD(308, 316) = ( 308 x 316 ) / 24332
GCD(308, 316) = 97328 / 24332
GCD(308, 316) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 763
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 763) = 3052
GCD(4, 763) = ( 4 x 763 ) / 3052
GCD(4, 763) = 3052 / 3052
GCD(4, 763) = 1
GCD of 308, 316, 763 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 308, 316, 763?
GCD of 308, 316, 763 is 1
2. Where do I get the detailed procedure to find GCD of 308, 316, 763?
You can find a detailed procedure to find GCD of 308, 316, 763 on our page.
3. How to find GCD of 308, 316, 763 on a calculator?
You can find the GCD of 308, 316, 763 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.