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 681, 576, 78, 284 i.e. 1 largest integer that divides all the numbers equally.
GCD of 681, 576, 78, 284 is 1
GCD(681, 576, 78, 284) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 681, 576, 78, 284 is 1
GCD(681, 576, 78, 284) = 1
Given Input numbers are 681, 576, 78, 284
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 681
List of positive integer divisors of 681 that divides 681 without a remainder.
1, 3, 227, 681
Divisors of 576
List of positive integer divisors of 576 that divides 576 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576
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 284
List of positive integer divisors of 284 that divides 284 without a remainder.
1, 2, 4, 71, 142, 284
Greatest Common Divisior
We found the divisors of 681, 576, 78, 284 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 681, 576, 78, 284 is 1.
Therefore, GCD of numbers 681, 576, 78, 284 is 1
Given Input Data is 681, 576, 78, 284
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 681 is 3 x 227
Prime Factorization of 576 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3
Prime Factorization of 78 is 2 x 3 x 13
Prime Factorization of 284 is 2 x 2 x 71
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(681, 576) = 130752
GCD(681, 576) = ( 681 x 576 ) / 130752
GCD(681, 576) = 392256 / 130752
GCD(681, 576) = 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 284
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 284) = 852
GCD(3, 284) = ( 3 x 284 ) / 852
GCD(3, 284) = 852 / 852
GCD(3, 284) = 1
GCD of 681, 576, 78, 284 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 681, 576, 78, 284?
GCD of 681, 576, 78, 284 is 1
2. Where do I get the detailed procedure to find GCD of 681, 576, 78, 284?
You can find a detailed procedure to find GCD of 681, 576, 78, 284 on our page.
3. How to find GCD of 681, 576, 78, 284 on a calculator?
You can find the GCD of 681, 576, 78, 284 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.