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 834, 108, 38, 435 i.e. 1 largest integer that divides all the numbers equally.
GCD of 834, 108, 38, 435 is 1
GCD(834, 108, 38, 435) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 834, 108, 38, 435 is 1
GCD(834, 108, 38, 435) = 1
Given Input numbers are 834, 108, 38, 435
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 834
List of positive integer divisors of 834 that divides 834 without a remainder.
1, 2, 3, 6, 139, 278, 417, 834
Divisors of 108
List of positive integer divisors of 108 that divides 108 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
Divisors of 38
List of positive integer divisors of 38 that divides 38 without a remainder.
1, 2, 19, 38
Divisors of 435
List of positive integer divisors of 435 that divides 435 without a remainder.
1, 3, 5, 15, 29, 87, 145, 435
Greatest Common Divisior
We found the divisors of 834, 108, 38, 435 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 834, 108, 38, 435 is 1.
Therefore, GCD of numbers 834, 108, 38, 435 is 1
Given Input Data is 834, 108, 38, 435
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 834 is 2 x 3 x 139
Prime Factorization of 108 is 2 x 2 x 3 x 3 x 3
Prime Factorization of 38 is 2 x 19
Prime Factorization of 435 is 3 x 5 x 29
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(834, 108) = 15012
GCD(834, 108) = ( 834 x 108 ) / 15012
GCD(834, 108) = 90072 / 15012
GCD(834, 108) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 38
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 38) = 114
GCD(6, 38) = ( 6 x 38 ) / 114
GCD(6, 38) = 228 / 114
GCD(6, 38) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 435
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 435) = 870
GCD(2, 435) = ( 2 x 435 ) / 870
GCD(2, 435) = 870 / 870
GCD(2, 435) = 1
GCD of 834, 108, 38, 435 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 834, 108, 38, 435?
GCD of 834, 108, 38, 435 is 1
2. Where do I get the detailed procedure to find GCD of 834, 108, 38, 435?
You can find a detailed procedure to find GCD of 834, 108, 38, 435 on our page.
3. How to find GCD of 834, 108, 38, 435 on a calculator?
You can find the GCD of 834, 108, 38, 435 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.