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 214, 317, 94, 924 i.e. 1 largest integer that divides all the numbers equally.
GCD of 214, 317, 94, 924 is 1
GCD(214, 317, 94, 924) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 214, 317, 94, 924 is 1
GCD(214, 317, 94, 924) = 1
Given Input numbers are 214, 317, 94, 924
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 214
List of positive integer divisors of 214 that divides 214 without a remainder.
1, 2, 107, 214
Divisors of 317
List of positive integer divisors of 317 that divides 317 without a remainder.
1, 317
Divisors of 94
List of positive integer divisors of 94 that divides 94 without a remainder.
1, 2, 47, 94
Divisors of 924
List of positive integer divisors of 924 that divides 924 without a remainder.
1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924
Greatest Common Divisior
We found the divisors of 214, 317, 94, 924 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 214, 317, 94, 924 is 1.
Therefore, GCD of numbers 214, 317, 94, 924 is 1
Given Input Data is 214, 317, 94, 924
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 214 is 2 x 107
Prime Factorization of 317 is 317
Prime Factorization of 94 is 2 x 47
Prime Factorization of 924 is 2 x 2 x 3 x 7 x 11
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(214, 317) = 67838
GCD(214, 317) = ( 214 x 317 ) / 67838
GCD(214, 317) = 67838 / 67838
GCD(214, 317) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 94
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 94) = 94
GCD(1, 94) = ( 1 x 94 ) / 94
GCD(1, 94) = 94 / 94
GCD(1, 94) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 924
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 924) = 924
GCD(1, 924) = ( 1 x 924 ) / 924
GCD(1, 924) = 924 / 924
GCD(1, 924) = 1
GCD of 214, 317, 94, 924 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 214, 317, 94, 924?
GCD of 214, 317, 94, 924 is 1
2. Where do I get the detailed procedure to find GCD of 214, 317, 94, 924?
You can find a detailed procedure to find GCD of 214, 317, 94, 924 on our page.
3. How to find GCD of 214, 317, 94, 924 on a calculator?
You can find the GCD of 214, 317, 94, 924 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.