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 924, 216, 168, 275 i.e. 1 largest integer that divides all the numbers equally.
GCD of 924, 216, 168, 275 is 1
GCD(924, 216, 168, 275) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 924, 216, 168, 275 is 1
GCD(924, 216, 168, 275) = 1
Given Input numbers are 924, 216, 168, 275
To find the GCD of numbers using factoring list out all the divisors of each number
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
Divisors of 216
List of positive integer divisors of 216 that divides 216 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
Divisors of 168
List of positive integer divisors of 168 that divides 168 without a remainder.
1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
Divisors of 275
List of positive integer divisors of 275 that divides 275 without a remainder.
1, 5, 11, 25, 55, 275
Greatest Common Divisior
We found the divisors of 924, 216, 168, 275 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 924, 216, 168, 275 is 1.
Therefore, GCD of numbers 924, 216, 168, 275 is 1
Given Input Data is 924, 216, 168, 275
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 924 is 2 x 2 x 3 x 7 x 11
Prime Factorization of 216 is 2 x 2 x 2 x 3 x 3 x 3
Prime Factorization of 168 is 2 x 2 x 2 x 3 x 7
Prime Factorization of 275 is 5 x 5 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(924, 216) = 16632
GCD(924, 216) = ( 924 x 216 ) / 16632
GCD(924, 216) = 199584 / 16632
GCD(924, 216) = 12
Step2:
Here we consider the GCD from the above i.e. 12 as first number and the next as 168
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(12, 168) = 168
GCD(12, 168) = ( 12 x 168 ) / 168
GCD(12, 168) = 2016 / 168
GCD(12, 168) = 12
Step3:
Here we consider the GCD from the above i.e. 12 as first number and the next as 275
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(12, 275) = 3300
GCD(12, 275) = ( 12 x 275 ) / 3300
GCD(12, 275) = 3300 / 3300
GCD(12, 275) = 1
GCD of 924, 216, 168, 275 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 924, 216, 168, 275?
GCD of 924, 216, 168, 275 is 1
2. Where do I get the detailed procedure to find GCD of 924, 216, 168, 275?
You can find a detailed procedure to find GCD of 924, 216, 168, 275 on our page.
3. How to find GCD of 924, 216, 168, 275 on a calculator?
You can find the GCD of 924, 216, 168, 275 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.