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 912, 143, 565, 390 i.e. 1 largest integer that divides all the numbers equally.
GCD of 912, 143, 565, 390 is 1
GCD(912, 143, 565, 390) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 912, 143, 565, 390 is 1
GCD(912, 143, 565, 390) = 1
Given Input numbers are 912, 143, 565, 390
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 912
List of positive integer divisors of 912 that divides 912 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912
Divisors of 143
List of positive integer divisors of 143 that divides 143 without a remainder.
1, 11, 13, 143
Divisors of 565
List of positive integer divisors of 565 that divides 565 without a remainder.
1, 5, 113, 565
Divisors of 390
List of positive integer divisors of 390 that divides 390 without a remainder.
1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
Greatest Common Divisior
We found the divisors of 912, 143, 565, 390 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 912, 143, 565, 390 is 1.
Therefore, GCD of numbers 912, 143, 565, 390 is 1
Given Input Data is 912, 143, 565, 390
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 912 is 2 x 2 x 2 x 2 x 3 x 19
Prime Factorization of 143 is 11 x 13
Prime Factorization of 565 is 5 x 113
Prime Factorization of 390 is 2 x 3 x 5 x 13
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(912, 143) = 130416
GCD(912, 143) = ( 912 x 143 ) / 130416
GCD(912, 143) = 130416 / 130416
GCD(912, 143) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 565
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 565) = 565
GCD(1, 565) = ( 1 x 565 ) / 565
GCD(1, 565) = 565 / 565
GCD(1, 565) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 390
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 390) = 390
GCD(1, 390) = ( 1 x 390 ) / 390
GCD(1, 390) = 390 / 390
GCD(1, 390) = 1
GCD of 912, 143, 565, 390 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 912, 143, 565, 390?
GCD of 912, 143, 565, 390 is 1
2. Where do I get the detailed procedure to find GCD of 912, 143, 565, 390?
You can find a detailed procedure to find GCD of 912, 143, 565, 390 on our page.
3. How to find GCD of 912, 143, 565, 390 on a calculator?
You can find the GCD of 912, 143, 565, 390 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.