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 284, 680, 95, 798 i.e. 1 largest integer that divides all the numbers equally.
GCD of 284, 680, 95, 798 is 1
GCD(284, 680, 95, 798) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 284, 680, 95, 798 is 1
GCD(284, 680, 95, 798) = 1
Given Input numbers are 284, 680, 95, 798
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 284
List of positive integer divisors of 284 that divides 284 without a remainder.
1, 2, 4, 71, 142, 284
Divisors of 680
List of positive integer divisors of 680 that divides 680 without a remainder.
1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
Divisors of 95
List of positive integer divisors of 95 that divides 95 without a remainder.
1, 5, 19, 95
Divisors of 798
List of positive integer divisors of 798 that divides 798 without a remainder.
1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798
Greatest Common Divisior
We found the divisors of 284, 680, 95, 798 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 284, 680, 95, 798 is 1.
Therefore, GCD of numbers 284, 680, 95, 798 is 1
Given Input Data is 284, 680, 95, 798
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 284 is 2 x 2 x 71
Prime Factorization of 680 is 2 x 2 x 2 x 5 x 17
Prime Factorization of 95 is 5 x 19
Prime Factorization of 798 is 2 x 3 x 7 x 19
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(284, 680) = 48280
GCD(284, 680) = ( 284 x 680 ) / 48280
GCD(284, 680) = 193120 / 48280
GCD(284, 680) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 95
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 95) = 380
GCD(4, 95) = ( 4 x 95 ) / 380
GCD(4, 95) = 380 / 380
GCD(4, 95) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 798
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 798) = 798
GCD(1, 798) = ( 1 x 798 ) / 798
GCD(1, 798) = 798 / 798
GCD(1, 798) = 1
GCD of 284, 680, 95, 798 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 284, 680, 95, 798?
GCD of 284, 680, 95, 798 is 1
2. Where do I get the detailed procedure to find GCD of 284, 680, 95, 798?
You can find a detailed procedure to find GCD of 284, 680, 95, 798 on our page.
3. How to find GCD of 284, 680, 95, 798 on a calculator?
You can find the GCD of 284, 680, 95, 798 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.