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 320, 467, 950, 954 i.e. 1 largest integer that divides all the numbers equally.
GCD of 320, 467, 950, 954 is 1
GCD(320, 467, 950, 954) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 320, 467, 950, 954 is 1
GCD(320, 467, 950, 954) = 1
Given Input numbers are 320, 467, 950, 954
To find the GCD of numbers using factoring list out all the divisors of each number
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 467
List of positive integer divisors of 467 that divides 467 without a remainder.
1, 467
Divisors of 950
List of positive integer divisors of 950 that divides 950 without a remainder.
1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950
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 320, 467, 950, 954 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 320, 467, 950, 954 is 1.
Therefore, GCD of numbers 320, 467, 950, 954 is 1
Given Input Data is 320, 467, 950, 954
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 320 is 2 x 2 x 2 x 2 x 2 x 2 x 5
Prime Factorization of 467 is 467
Prime Factorization of 950 is 2 x 5 x 5 x 19
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(320, 467) = 149440
GCD(320, 467) = ( 320 x 467 ) / 149440
GCD(320, 467) = 149440 / 149440
GCD(320, 467) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 950
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 950) = 950
GCD(1, 950) = ( 1 x 950 ) / 950
GCD(1, 950) = 950 / 950
GCD(1, 950) = 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 320, 467, 950, 954 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 320, 467, 950, 954?
GCD of 320, 467, 950, 954 is 1
2. Where do I get the detailed procedure to find GCD of 320, 467, 950, 954?
You can find a detailed procedure to find GCD of 320, 467, 950, 954 on our page.
3. How to find GCD of 320, 467, 950, 954 on a calculator?
You can find the GCD of 320, 467, 950, 954 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.