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, 409, 466, 684 i.e. 1 largest integer that divides all the numbers equally.
GCD of 954, 409, 466, 684 is 1
GCD(954, 409, 466, 684) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 954, 409, 466, 684 is 1
GCD(954, 409, 466, 684) = 1
Given Input numbers are 954, 409, 466, 684
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 409
List of positive integer divisors of 409 that divides 409 without a remainder.
1, 409
Divisors of 466
List of positive integer divisors of 466 that divides 466 without a remainder.
1, 2, 233, 466
Divisors of 684
List of positive integer divisors of 684 that divides 684 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
Greatest Common Divisior
We found the divisors of 954, 409, 466, 684 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 954, 409, 466, 684 is 1.
Therefore, GCD of numbers 954, 409, 466, 684 is 1
Given Input Data is 954, 409, 466, 684
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 409 is 409
Prime Factorization of 466 is 2 x 233
Prime Factorization of 684 is 2 x 2 x 3 x 3 x 19
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, 409) = 390186
GCD(954, 409) = ( 954 x 409 ) / 390186
GCD(954, 409) = 390186 / 390186
GCD(954, 409) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 466
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 466) = 466
GCD(1, 466) = ( 1 x 466 ) / 466
GCD(1, 466) = 466 / 466
GCD(1, 466) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 684
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 684) = 684
GCD(1, 684) = ( 1 x 684 ) / 684
GCD(1, 684) = 684 / 684
GCD(1, 684) = 1
GCD of 954, 409, 466, 684 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 954, 409, 466, 684?
GCD of 954, 409, 466, 684 is 1
2. Where do I get the detailed procedure to find GCD of 954, 409, 466, 684?
You can find a detailed procedure to find GCD of 954, 409, 466, 684 on our page.
3. How to find GCD of 954, 409, 466, 684 on a calculator?
You can find the GCD of 954, 409, 466, 684 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.