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, 434, 744 i.e. 2 largest integer that divides all the numbers equally.
GCD of 776, 434, 744 is 2
GCD(776, 434, 744) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 776, 434, 744 is 2
GCD(776, 434, 744) = 2
Given Input numbers are 776, 434, 744
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 434
List of positive integer divisors of 434 that divides 434 without a remainder.
1, 2, 7, 14, 31, 62, 217, 434
Divisors of 744
List of positive integer divisors of 744 that divides 744 without a remainder.
1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744
Greatest Common Divisior
We found the divisors of 776, 434, 744 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 776, 434, 744 is 2.
Therefore, GCD of numbers 776, 434, 744 is 2
Given Input Data is 776, 434, 744
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 434 is 2 x 7 x 31
Prime Factorization of 744 is 2 x 2 x 2 x 3 x 31
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, 434) = 168392
GCD(776, 434) = ( 776 x 434 ) / 168392
GCD(776, 434) = 336784 / 168392
GCD(776, 434) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 744
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 744) = 744
GCD(2, 744) = ( 2 x 744 ) / 744
GCD(2, 744) = 1488 / 744
GCD(2, 744) = 2
GCD of 776, 434, 744 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 776, 434, 744?
GCD of 776, 434, 744 is 2
2. Where do I get the detailed procedure to find GCD of 776, 434, 744?
You can find a detailed procedure to find GCD of 776, 434, 744 on our page.
3. How to find GCD of 776, 434, 744 on a calculator?
You can find the GCD of 776, 434, 744 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.