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 104, 676, 76, 434 i.e. 2 largest integer that divides all the numbers equally.
GCD of 104, 676, 76, 434 is 2
GCD(104, 676, 76, 434) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 104, 676, 76, 434 is 2
GCD(104, 676, 76, 434) = 2
Given Input numbers are 104, 676, 76, 434
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 104
List of positive integer divisors of 104 that divides 104 without a remainder.
1, 2, 4, 8, 13, 26, 52, 104
Divisors of 676
List of positive integer divisors of 676 that divides 676 without a remainder.
1, 2, 4, 13, 26, 52, 169, 338, 676
Divisors of 76
List of positive integer divisors of 76 that divides 76 without a remainder.
1, 2, 4, 19, 38, 76
Divisors of 434
List of positive integer divisors of 434 that divides 434 without a remainder.
1, 2, 7, 14, 31, 62, 217, 434
Greatest Common Divisior
We found the divisors of 104, 676, 76, 434 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 104, 676, 76, 434 is 2.
Therefore, GCD of numbers 104, 676, 76, 434 is 2
Given Input Data is 104, 676, 76, 434
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 104 is 2 x 2 x 2 x 13
Prime Factorization of 676 is 2 x 2 x 13 x 13
Prime Factorization of 76 is 2 x 2 x 19
Prime Factorization of 434 is 2 x 7 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(104, 676) = 1352
GCD(104, 676) = ( 104 x 676 ) / 1352
GCD(104, 676) = 70304 / 1352
GCD(104, 676) = 52
Step2:
Here we consider the GCD from the above i.e. 52 as first number and the next as 76
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(52, 76) = 988
GCD(52, 76) = ( 52 x 76 ) / 988
GCD(52, 76) = 3952 / 988
GCD(52, 76) = 4
Step3:
Here we consider the GCD from the above i.e. 4 as first number and the next as 434
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 434) = 868
GCD(4, 434) = ( 4 x 434 ) / 868
GCD(4, 434) = 1736 / 868
GCD(4, 434) = 2
GCD of 104, 676, 76, 434 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 104, 676, 76, 434?
GCD of 104, 676, 76, 434 is 2
2. Where do I get the detailed procedure to find GCD of 104, 676, 76, 434?
You can find a detailed procedure to find GCD of 104, 676, 76, 434 on our page.
3. How to find GCD of 104, 676, 76, 434 on a calculator?
You can find the GCD of 104, 676, 76, 434 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.