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 954, 394, 34, 421 i.e. 1 largest integer that divides all the numbers equally.
GCD of 954, 394, 34, 421 is 1
GCD(954, 394, 34, 421) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 954, 394, 34, 421 is 1
GCD(954, 394, 34, 421) = 1
Given Input numbers are 954, 394, 34, 421
To find the GCD of numbers using factoring list out all the divisors of each number
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
Divisors of 394
List of positive integer divisors of 394 that divides 394 without a remainder.
1, 2, 197, 394
Divisors of 34
List of positive integer divisors of 34 that divides 34 without a remainder.
1, 2, 17, 34
Divisors of 421
List of positive integer divisors of 421 that divides 421 without a remainder.
1, 421
Greatest Common Divisior
We found the divisors of 954, 394, 34, 421 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 954, 394, 34, 421 is 1.
Therefore, GCD of numbers 954, 394, 34, 421 is 1
Given Input Data is 954, 394, 34, 421
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 954 is 2 x 3 x 3 x 53
Prime Factorization of 394 is 2 x 197
Prime Factorization of 34 is 2 x 17
Prime Factorization of 421 is 421
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(954, 394) = 187938
GCD(954, 394) = ( 954 x 394 ) / 187938
GCD(954, 394) = 375876 / 187938
GCD(954, 394) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 34
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 34) = 34
GCD(2, 34) = ( 2 x 34 ) / 34
GCD(2, 34) = 68 / 34
GCD(2, 34) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 421
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 421) = 842
GCD(2, 421) = ( 2 x 421 ) / 842
GCD(2, 421) = 842 / 842
GCD(2, 421) = 1
GCD of 954, 394, 34, 421 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 954, 394, 34, 421?
GCD of 954, 394, 34, 421 is 1
2. Where do I get the detailed procedure to find GCD of 954, 394, 34, 421?
You can find a detailed procedure to find GCD of 954, 394, 34, 421 on our page.
3. How to find GCD of 954, 394, 34, 421 on a calculator?
You can find the GCD of 954, 394, 34, 421 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.