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 34, 508, 804, 431 i.e. 1 largest integer that divides all the numbers equally.
GCD of 34, 508, 804, 431 is 1
GCD(34, 508, 804, 431) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 34, 508, 804, 431 is 1
GCD(34, 508, 804, 431) = 1
Given Input numbers are 34, 508, 804, 431
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 34
List of positive integer divisors of 34 that divides 34 without a remainder.
1, 2, 17, 34
Divisors of 508
List of positive integer divisors of 508 that divides 508 without a remainder.
1, 2, 4, 127, 254, 508
Divisors of 804
List of positive integer divisors of 804 that divides 804 without a remainder.
1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804
Divisors of 431
List of positive integer divisors of 431 that divides 431 without a remainder.
1, 431
Greatest Common Divisior
We found the divisors of 34, 508, 804, 431 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 34, 508, 804, 431 is 1.
Therefore, GCD of numbers 34, 508, 804, 431 is 1
Given Input Data is 34, 508, 804, 431
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 34 is 2 x 17
Prime Factorization of 508 is 2 x 2 x 127
Prime Factorization of 804 is 2 x 2 x 3 x 67
Prime Factorization of 431 is 431
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(34, 508) = 8636
GCD(34, 508) = ( 34 x 508 ) / 8636
GCD(34, 508) = 17272 / 8636
GCD(34, 508) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 804
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 804) = 804
GCD(2, 804) = ( 2 x 804 ) / 804
GCD(2, 804) = 1608 / 804
GCD(2, 804) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 431
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 431) = 862
GCD(2, 431) = ( 2 x 431 ) / 862
GCD(2, 431) = 862 / 862
GCD(2, 431) = 1
GCD of 34, 508, 804, 431 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 34, 508, 804, 431?
GCD of 34, 508, 804, 431 is 1
2. Where do I get the detailed procedure to find GCD of 34, 508, 804, 431?
You can find a detailed procedure to find GCD of 34, 508, 804, 431 on our page.
3. How to find GCD of 34, 508, 804, 431 on a calculator?
You can find the GCD of 34, 508, 804, 431 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.