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 999, 297, 87, 784 i.e. 1 largest integer that divides all the numbers equally.
GCD of 999, 297, 87, 784 is 1
GCD(999, 297, 87, 784) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 999, 297, 87, 784 is 1
GCD(999, 297, 87, 784) = 1
Given Input numbers are 999, 297, 87, 784
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 999
List of positive integer divisors of 999 that divides 999 without a remainder.
1, 3, 9, 27, 37, 111, 333, 999
Divisors of 297
List of positive integer divisors of 297 that divides 297 without a remainder.
1, 3, 9, 11, 27, 33, 99, 297
Divisors of 87
List of positive integer divisors of 87 that divides 87 without a remainder.
1, 3, 29, 87
Divisors of 784
List of positive integer divisors of 784 that divides 784 without a remainder.
1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784
Greatest Common Divisior
We found the divisors of 999, 297, 87, 784 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 999, 297, 87, 784 is 1.
Therefore, GCD of numbers 999, 297, 87, 784 is 1
Given Input Data is 999, 297, 87, 784
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 999 is 3 x 3 x 3 x 37
Prime Factorization of 297 is 3 x 3 x 3 x 11
Prime Factorization of 87 is 3 x 29
Prime Factorization of 784 is 2 x 2 x 2 x 2 x 7 x 7
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(999, 297) = 10989
GCD(999, 297) = ( 999 x 297 ) / 10989
GCD(999, 297) = 296703 / 10989
GCD(999, 297) = 27
Step2:
Here we consider the GCD from the above i.e. 27 as first number and the next as 87
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(27, 87) = 783
GCD(27, 87) = ( 27 x 87 ) / 783
GCD(27, 87) = 2349 / 783
GCD(27, 87) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 784
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 784) = 2352
GCD(3, 784) = ( 3 x 784 ) / 2352
GCD(3, 784) = 2352 / 2352
GCD(3, 784) = 1
GCD of 999, 297, 87, 784 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 999, 297, 87, 784?
GCD of 999, 297, 87, 784 is 1
2. Where do I get the detailed procedure to find GCD of 999, 297, 87, 784?
You can find a detailed procedure to find GCD of 999, 297, 87, 784 on our page.
3. How to find GCD of 999, 297, 87, 784 on a calculator?
You can find the GCD of 999, 297, 87, 784 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.