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, 183, 78, 235 i.e. 1 largest integer that divides all the numbers equally.
GCD of 924, 183, 78, 235 is 1
GCD(924, 183, 78, 235) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 924, 183, 78, 235 is 1
GCD(924, 183, 78, 235) = 1
Given Input numbers are 924, 183, 78, 235
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 183
List of positive integer divisors of 183 that divides 183 without a remainder.
1, 3, 61, 183
Divisors of 78
List of positive integer divisors of 78 that divides 78 without a remainder.
1, 2, 3, 6, 13, 26, 39, 78
Divisors of 235
List of positive integer divisors of 235 that divides 235 without a remainder.
1, 5, 47, 235
Greatest Common Divisior
We found the divisors of 924, 183, 78, 235 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 924, 183, 78, 235 is 1.
Therefore, GCD of numbers 924, 183, 78, 235 is 1
Given Input Data is 924, 183, 78, 235
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 183 is 3 x 61
Prime Factorization of 78 is 2 x 3 x 13
Prime Factorization of 235 is 5 x 47
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, 183) = 56364
GCD(924, 183) = ( 924 x 183 ) / 56364
GCD(924, 183) = 169092 / 56364
GCD(924, 183) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 78
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 78) = 78
GCD(3, 78) = ( 3 x 78 ) / 78
GCD(3, 78) = 234 / 78
GCD(3, 78) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 235
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 235) = 705
GCD(3, 235) = ( 3 x 235 ) / 705
GCD(3, 235) = 705 / 705
GCD(3, 235) = 1
GCD of 924, 183, 78, 235 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 924, 183, 78, 235?
GCD of 924, 183, 78, 235 is 1
2. Where do I get the detailed procedure to find GCD of 924, 183, 78, 235?
You can find a detailed procedure to find GCD of 924, 183, 78, 235 on our page.
3. How to find GCD of 924, 183, 78, 235 on a calculator?
You can find the GCD of 924, 183, 78, 235 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.