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 288, 777, 103, 252 i.e. 1 largest integer that divides all the numbers equally.
GCD of 288, 777, 103, 252 is 1
GCD(288, 777, 103, 252) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 288, 777, 103, 252 is 1
GCD(288, 777, 103, 252) = 1
Given Input numbers are 288, 777, 103, 252
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 288
List of positive integer divisors of 288 that divides 288 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
Divisors of 777
List of positive integer divisors of 777 that divides 777 without a remainder.
1, 3, 7, 21, 37, 111, 259, 777
Divisors of 103
List of positive integer divisors of 103 that divides 103 without a remainder.
1, 103
Divisors of 252
List of positive integer divisors of 252 that divides 252 without a remainder.
1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252
Greatest Common Divisior
We found the divisors of 288, 777, 103, 252 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 288, 777, 103, 252 is 1.
Therefore, GCD of numbers 288, 777, 103, 252 is 1
Given Input Data is 288, 777, 103, 252
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 288 is 2 x 2 x 2 x 2 x 2 x 3 x 3
Prime Factorization of 777 is 3 x 7 x 37
Prime Factorization of 103 is 103
Prime Factorization of 252 is 2 x 2 x 3 x 3 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(288, 777) = 74592
GCD(288, 777) = ( 288 x 777 ) / 74592
GCD(288, 777) = 223776 / 74592
GCD(288, 777) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 103
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 103) = 309
GCD(3, 103) = ( 3 x 103 ) / 309
GCD(3, 103) = 309 / 309
GCD(3, 103) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 252
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 252) = 252
GCD(1, 252) = ( 1 x 252 ) / 252
GCD(1, 252) = 252 / 252
GCD(1, 252) = 1
GCD of 288, 777, 103, 252 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 288, 777, 103, 252?
GCD of 288, 777, 103, 252 is 1
2. Where do I get the detailed procedure to find GCD of 288, 777, 103, 252?
You can find a detailed procedure to find GCD of 288, 777, 103, 252 on our page.
3. How to find GCD of 288, 777, 103, 252 on a calculator?
You can find the GCD of 288, 777, 103, 252 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.