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 838, 217, 46, 954 i.e. 1 largest integer that divides all the numbers equally.
GCD of 838, 217, 46, 954 is 1
GCD(838, 217, 46, 954) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 838, 217, 46, 954 is 1
GCD(838, 217, 46, 954) = 1
Given Input numbers are 838, 217, 46, 954
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 838
List of positive integer divisors of 838 that divides 838 without a remainder.
1, 2, 419, 838
Divisors of 217
List of positive integer divisors of 217 that divides 217 without a remainder.
1, 7, 31, 217
Divisors of 46
List of positive integer divisors of 46 that divides 46 without a remainder.
1, 2, 23, 46
Divisors of 954
List of positive integer divisors of 954 that divides 954 without a remainder.
1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954
Greatest Common Divisior
We found the divisors of 838, 217, 46, 954 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 838, 217, 46, 954 is 1.
Therefore, GCD of numbers 838, 217, 46, 954 is 1
Given Input Data is 838, 217, 46, 954
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 838 is 2 x 419
Prime Factorization of 217 is 7 x 31
Prime Factorization of 46 is 2 x 23
Prime Factorization of 954 is 2 x 3 x 3 x 53
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(838, 217) = 181846
GCD(838, 217) = ( 838 x 217 ) / 181846
GCD(838, 217) = 181846 / 181846
GCD(838, 217) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 46
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 46) = 46
GCD(1, 46) = ( 1 x 46 ) / 46
GCD(1, 46) = 46 / 46
GCD(1, 46) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 954
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 954) = 954
GCD(1, 954) = ( 1 x 954 ) / 954
GCD(1, 954) = 954 / 954
GCD(1, 954) = 1
GCD of 838, 217, 46, 954 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 838, 217, 46, 954?
GCD of 838, 217, 46, 954 is 1
2. Where do I get the detailed procedure to find GCD of 838, 217, 46, 954?
You can find a detailed procedure to find GCD of 838, 217, 46, 954 on our page.
3. How to find GCD of 838, 217, 46, 954 on a calculator?
You can find the GCD of 838, 217, 46, 954 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.