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 967, 417, 320 i.e. 1 largest integer that divides all the numbers equally.
GCD of 967, 417, 320 is 1
GCD(967, 417, 320) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 967, 417, 320 is 1
GCD(967, 417, 320) = 1
Given Input numbers are 967, 417, 320
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 967
List of positive integer divisors of 967 that divides 967 without a remainder.
1, 967
Divisors of 417
List of positive integer divisors of 417 that divides 417 without a remainder.
1, 3, 139, 417
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
Greatest Common Divisior
We found the divisors of 967, 417, 320 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 967, 417, 320 is 1.
Therefore, GCD of numbers 967, 417, 320 is 1
Given Input Data is 967, 417, 320
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 967 is 967
Prime Factorization of 417 is 3 x 139
Prime Factorization of 320 is 2 x 2 x 2 x 2 x 2 x 2 x 5
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(967, 417) = 403239
GCD(967, 417) = ( 967 x 417 ) / 403239
GCD(967, 417) = 403239 / 403239
GCD(967, 417) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 320
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 320) = 320
GCD(1, 320) = ( 1 x 320 ) / 320
GCD(1, 320) = 320 / 320
GCD(1, 320) = 1
GCD of 967, 417, 320 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 967, 417, 320?
GCD of 967, 417, 320 is 1
2. Where do I get the detailed procedure to find GCD of 967, 417, 320?
You can find a detailed procedure to find GCD of 967, 417, 320 on our page.
3. How to find GCD of 967, 417, 320 on a calculator?
You can find the GCD of 967, 417, 320 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.