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 417, 849, 38, 835 i.e. 1 largest integer that divides all the numbers equally.
GCD of 417, 849, 38, 835 is 1
GCD(417, 849, 38, 835) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 417, 849, 38, 835 is 1
GCD(417, 849, 38, 835) = 1
Given Input numbers are 417, 849, 38, 835
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 417
List of positive integer divisors of 417 that divides 417 without a remainder.
1, 3, 139, 417
Divisors of 849
List of positive integer divisors of 849 that divides 849 without a remainder.
1, 3, 283, 849
Divisors of 38
List of positive integer divisors of 38 that divides 38 without a remainder.
1, 2, 19, 38
Divisors of 835
List of positive integer divisors of 835 that divides 835 without a remainder.
1, 5, 167, 835
Greatest Common Divisior
We found the divisors of 417, 849, 38, 835 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 417, 849, 38, 835 is 1.
Therefore, GCD of numbers 417, 849, 38, 835 is 1
Given Input Data is 417, 849, 38, 835
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 417 is 3 x 139
Prime Factorization of 849 is 3 x 283
Prime Factorization of 38 is 2 x 19
Prime Factorization of 835 is 5 x 167
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(417, 849) = 118011
GCD(417, 849) = ( 417 x 849 ) / 118011
GCD(417, 849) = 354033 / 118011
GCD(417, 849) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 38
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 38) = 114
GCD(3, 38) = ( 3 x 38 ) / 114
GCD(3, 38) = 114 / 114
GCD(3, 38) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 835
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 835) = 835
GCD(1, 835) = ( 1 x 835 ) / 835
GCD(1, 835) = 835 / 835
GCD(1, 835) = 1
GCD of 417, 849, 38, 835 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 417, 849, 38, 835?
GCD of 417, 849, 38, 835 is 1
2. Where do I get the detailed procedure to find GCD of 417, 849, 38, 835?
You can find a detailed procedure to find GCD of 417, 849, 38, 835 on our page.
3. How to find GCD of 417, 849, 38, 835 on a calculator?
You can find the GCD of 417, 849, 38, 835 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.