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 776, 912, 80, 306 i.e. 2 largest integer that divides all the numbers equally.
GCD of 776, 912, 80, 306 is 2
GCD(776, 912, 80, 306) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 776, 912, 80, 306 is 2
GCD(776, 912, 80, 306) = 2
Given Input numbers are 776, 912, 80, 306
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 776
List of positive integer divisors of 776 that divides 776 without a remainder.
1, 2, 4, 8, 97, 194, 388, 776
Divisors of 912
List of positive integer divisors of 912 that divides 912 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912
Divisors of 80
List of positive integer divisors of 80 that divides 80 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 40, 80
Divisors of 306
List of positive integer divisors of 306 that divides 306 without a remainder.
1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306
Greatest Common Divisior
We found the divisors of 776, 912, 80, 306 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 776, 912, 80, 306 is 2.
Therefore, GCD of numbers 776, 912, 80, 306 is 2
Given Input Data is 776, 912, 80, 306
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 776 is 2 x 2 x 2 x 97
Prime Factorization of 912 is 2 x 2 x 2 x 2 x 3 x 19
Prime Factorization of 80 is 2 x 2 x 2 x 2 x 5
Prime Factorization of 306 is 2 x 3 x 3 x 17
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
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(776, 912) = 88464
GCD(776, 912) = ( 776 x 912 ) / 88464
GCD(776, 912) = 707712 / 88464
GCD(776, 912) = 8
Step2:
Here we consider the GCD from the above i.e. 8 as first number and the next as 80
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(8, 80) = 80
GCD(8, 80) = ( 8 x 80 ) / 80
GCD(8, 80) = 640 / 80
GCD(8, 80) = 8
Step3:
Here we consider the GCD from the above i.e. 8 as first number and the next as 306
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(8, 306) = 1224
GCD(8, 306) = ( 8 x 306 ) / 1224
GCD(8, 306) = 2448 / 1224
GCD(8, 306) = 2
GCD of 776, 912, 80, 306 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 776, 912, 80, 306?
GCD of 776, 912, 80, 306 is 2
2. Where do I get the detailed procedure to find GCD of 776, 912, 80, 306?
You can find a detailed procedure to find GCD of 776, 912, 80, 306 on our page.
3. How to find GCD of 776, 912, 80, 306 on a calculator?
You can find the GCD of 776, 912, 80, 306 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.