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, 845, 200, 144 i.e. 1 largest integer that divides all the numbers equally.
GCD of 924, 845, 200, 144 is 1
GCD(924, 845, 200, 144) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 924, 845, 200, 144 is 1
GCD(924, 845, 200, 144) = 1
Given Input numbers are 924, 845, 200, 144
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 845
List of positive integer divisors of 845 that divides 845 without a remainder.
1, 5, 13, 65, 169, 845
Divisors of 200
List of positive integer divisors of 200 that divides 200 without a remainder.
1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
Divisors of 144
List of positive integer divisors of 144 that divides 144 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
Greatest Common Divisior
We found the divisors of 924, 845, 200, 144 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 924, 845, 200, 144 is 1.
Therefore, GCD of numbers 924, 845, 200, 144 is 1
Given Input Data is 924, 845, 200, 144
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 845 is 5 x 13 x 13
Prime Factorization of 200 is 2 x 2 x 2 x 5 x 5
Prime Factorization of 144 is 2 x 2 x 2 x 2 x 3 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(924, 845) = 780780
GCD(924, 845) = ( 924 x 845 ) / 780780
GCD(924, 845) = 780780 / 780780
GCD(924, 845) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 200
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 200) = 200
GCD(1, 200) = ( 1 x 200 ) / 200
GCD(1, 200) = 200 / 200
GCD(1, 200) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 144
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 144) = 144
GCD(1, 144) = ( 1 x 144 ) / 144
GCD(1, 144) = 144 / 144
GCD(1, 144) = 1
GCD of 924, 845, 200, 144 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 924, 845, 200, 144?
GCD of 924, 845, 200, 144 is 1
2. Where do I get the detailed procedure to find GCD of 924, 845, 200, 144?
You can find a detailed procedure to find GCD of 924, 845, 200, 144 on our page.
3. How to find GCD of 924, 845, 200, 144 on a calculator?
You can find the GCD of 924, 845, 200, 144 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.