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 28, 798, 347, 114 i.e. 1 largest integer that divides all the numbers equally.
GCD of 28, 798, 347, 114 is 1
GCD(28, 798, 347, 114) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 28, 798, 347, 114 is 1
GCD(28, 798, 347, 114) = 1
Given Input numbers are 28, 798, 347, 114
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 28
List of positive integer divisors of 28 that divides 28 without a remainder.
1, 2, 4, 7, 14, 28
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
Divisors of 347
List of positive integer divisors of 347 that divides 347 without a remainder.
1, 347
Divisors of 114
List of positive integer divisors of 114 that divides 114 without a remainder.
1, 2, 3, 6, 19, 38, 57, 114
Greatest Common Divisior
We found the divisors of 28, 798, 347, 114 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 28, 798, 347, 114 is 1.
Therefore, GCD of numbers 28, 798, 347, 114 is 1
Given Input Data is 28, 798, 347, 114
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 28 is 2 x 2 x 7
Prime Factorization of 798 is 2 x 3 x 7 x 19
Prime Factorization of 347 is 347
Prime Factorization of 114 is 2 x 3 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(28, 798) = 1596
GCD(28, 798) = ( 28 x 798 ) / 1596
GCD(28, 798) = 22344 / 1596
GCD(28, 798) = 14
Step2:
Here we consider the GCD from the above i.e. 14 as first number and the next as 347
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(14, 347) = 4858
GCD(14, 347) = ( 14 x 347 ) / 4858
GCD(14, 347) = 4858 / 4858
GCD(14, 347) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 114
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 114) = 114
GCD(1, 114) = ( 1 x 114 ) / 114
GCD(1, 114) = 114 / 114
GCD(1, 114) = 1
GCD of 28, 798, 347, 114 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 28, 798, 347, 114?
GCD of 28, 798, 347, 114 is 1
2. Where do I get the detailed procedure to find GCD of 28, 798, 347, 114?
You can find a detailed procedure to find GCD of 28, 798, 347, 114 on our page.
3. How to find GCD of 28, 798, 347, 114 on a calculator?
You can find the GCD of 28, 798, 347, 114 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.