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 676, 791, 985, 434 i.e. 1 largest integer that divides all the numbers equally.
GCD of 676, 791, 985, 434 is 1
GCD(676, 791, 985, 434) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 676, 791, 985, 434 is 1
GCD(676, 791, 985, 434) = 1
Given Input numbers are 676, 791, 985, 434
To find the GCD of numbers using factoring list out all the divisors of each number
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 791
List of positive integer divisors of 791 that divides 791 without a remainder.
1, 7, 113, 791
Divisors of 985
List of positive integer divisors of 985 that divides 985 without a remainder.
1, 5, 197, 985
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 676, 791, 985, 434 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 676, 791, 985, 434 is 1.
Therefore, GCD of numbers 676, 791, 985, 434 is 1
Given Input Data is 676, 791, 985, 434
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 676 is 2 x 2 x 13 x 13
Prime Factorization of 791 is 7 x 113
Prime Factorization of 985 is 5 x 197
Prime Factorization of 434 is 2 x 7 x 31
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(676, 791) = 534716
GCD(676, 791) = ( 676 x 791 ) / 534716
GCD(676, 791) = 534716 / 534716
GCD(676, 791) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 985
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 985) = 985
GCD(1, 985) = ( 1 x 985 ) / 985
GCD(1, 985) = 985 / 985
GCD(1, 985) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 434
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 434) = 434
GCD(1, 434) = ( 1 x 434 ) / 434
GCD(1, 434) = 434 / 434
GCD(1, 434) = 1
GCD of 676, 791, 985, 434 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 676, 791, 985, 434?
GCD of 676, 791, 985, 434 is 1
2. Where do I get the detailed procedure to find GCD of 676, 791, 985, 434?
You can find a detailed procedure to find GCD of 676, 791, 985, 434 on our page.
3. How to find GCD of 676, 791, 985, 434 on a calculator?
You can find the GCD of 676, 791, 985, 434 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.