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, 320, 317, 127 i.e. 1 largest integer that divides all the numbers equally.
GCD of 954, 320, 317, 127 is 1
GCD(954, 320, 317, 127) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 954, 320, 317, 127 is 1
GCD(954, 320, 317, 127) = 1
Given Input numbers are 954, 320, 317, 127
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 320
List of positive integer divisors of 320 that divides 320 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320
Divisors of 317
List of positive integer divisors of 317 that divides 317 without a remainder.
1, 317
Divisors of 127
List of positive integer divisors of 127 that divides 127 without a remainder.
1, 127
Greatest Common Divisior
We found the divisors of 954, 320, 317, 127 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 954, 320, 317, 127 is 1.
Therefore, GCD of numbers 954, 320, 317, 127 is 1
Given Input Data is 954, 320, 317, 127
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 320 is 2 x 2 x 2 x 2 x 2 x 2 x 5
Prime Factorization of 317 is 317
Prime Factorization of 127 is 127
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, 320) = 152640
GCD(954, 320) = ( 954 x 320 ) / 152640
GCD(954, 320) = 305280 / 152640
GCD(954, 320) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 317
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 317) = 634
GCD(2, 317) = ( 2 x 317 ) / 634
GCD(2, 317) = 634 / 634
GCD(2, 317) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 127
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 127) = 127
GCD(1, 127) = ( 1 x 127 ) / 127
GCD(1, 127) = 127 / 127
GCD(1, 127) = 1
GCD of 954, 320, 317, 127 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 954, 320, 317, 127?
GCD of 954, 320, 317, 127 is 1
2. Where do I get the detailed procedure to find GCD of 954, 320, 317, 127?
You can find a detailed procedure to find GCD of 954, 320, 317, 127 on our page.
3. How to find GCD of 954, 320, 317, 127 on a calculator?
You can find the GCD of 954, 320, 317, 127 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.