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 434, 208, 39, 775 i.e. 1 largest integer that divides all the numbers equally.
GCD of 434, 208, 39, 775 is 1
GCD(434, 208, 39, 775) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 434, 208, 39, 775 is 1
GCD(434, 208, 39, 775) = 1
Given Input numbers are 434, 208, 39, 775
To find the GCD of numbers using factoring list out all the divisors of each number
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 208
List of positive integer divisors of 208 that divides 208 without a remainder.
1, 2, 4, 8, 13, 16, 26, 52, 104, 208
Divisors of 39
List of positive integer divisors of 39 that divides 39 without a remainder.
1, 3, 13, 39
Divisors of 775
List of positive integer divisors of 775 that divides 775 without a remainder.
1, 5, 25, 31, 155, 775
Greatest Common Divisior
We found the divisors of 434, 208, 39, 775 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 434, 208, 39, 775 is 1.
Therefore, GCD of numbers 434, 208, 39, 775 is 1
Given Input Data is 434, 208, 39, 775
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 434 is 2 x 7 x 31
Prime Factorization of 208 is 2 x 2 x 2 x 2 x 13
Prime Factorization of 39 is 3 x 13
Prime Factorization of 775 is 5 x 5 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(434, 208) = 45136
GCD(434, 208) = ( 434 x 208 ) / 45136
GCD(434, 208) = 90272 / 45136
GCD(434, 208) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 39
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 39) = 78
GCD(2, 39) = ( 2 x 39 ) / 78
GCD(2, 39) = 78 / 78
GCD(2, 39) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 775
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 775) = 775
GCD(1, 775) = ( 1 x 775 ) / 775
GCD(1, 775) = 775 / 775
GCD(1, 775) = 1
GCD of 434, 208, 39, 775 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 434, 208, 39, 775?
GCD of 434, 208, 39, 775 is 1
2. Where do I get the detailed procedure to find GCD of 434, 208, 39, 775?
You can find a detailed procedure to find GCD of 434, 208, 39, 775 on our page.
3. How to find GCD of 434, 208, 39, 775 on a calculator?
You can find the GCD of 434, 208, 39, 775 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.