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 217, 967, 24 i.e. 1 largest integer that divides all the numbers equally.
GCD of 217, 967, 24 is 1
GCD(217, 967, 24) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 217, 967, 24 is 1
GCD(217, 967, 24) = 1
Given Input numbers are 217, 967, 24
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 217
List of positive integer divisors of 217 that divides 217 without a remainder.
1, 7, 31, 217
Divisors of 967
List of positive integer divisors of 967 that divides 967 without a remainder.
1, 967
Divisors of 24
List of positive integer divisors of 24 that divides 24 without a remainder.
1, 2, 3, 4, 6, 8, 12, 24
Greatest Common Divisior
We found the divisors of 217, 967, 24 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 217, 967, 24 is 1.
Therefore, GCD of numbers 217, 967, 24 is 1
Given Input Data is 217, 967, 24
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 217 is 7 x 31
Prime Factorization of 967 is 967
Prime Factorization of 24 is 2 x 2 x 2 x 3
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(217, 967) = 209839
GCD(217, 967) = ( 217 x 967 ) / 209839
GCD(217, 967) = 209839 / 209839
GCD(217, 967) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 24
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 24) = 24
GCD(1, 24) = ( 1 x 24 ) / 24
GCD(1, 24) = 24 / 24
GCD(1, 24) = 1
GCD of 217, 967, 24 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 217, 967, 24?
GCD of 217, 967, 24 is 1
2. Where do I get the detailed procedure to find GCD of 217, 967, 24?
You can find a detailed procedure to find GCD of 217, 967, 24 on our page.
3. How to find GCD of 217, 967, 24 on a calculator?
You can find the GCD of 217, 967, 24 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.