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, 677, 318, 112 i.e. 1 largest integer that divides all the numbers equally.
GCD of 28, 677, 318, 112 is 1
GCD(28, 677, 318, 112) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 28, 677, 318, 112 is 1
GCD(28, 677, 318, 112) = 1
Given Input numbers are 28, 677, 318, 112
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 677
List of positive integer divisors of 677 that divides 677 without a remainder.
1, 677
Divisors of 318
List of positive integer divisors of 318 that divides 318 without a remainder.
1, 2, 3, 6, 53, 106, 159, 318
Divisors of 112
List of positive integer divisors of 112 that divides 112 without a remainder.
1, 2, 4, 7, 8, 14, 16, 28, 56, 112
Greatest Common Divisior
We found the divisors of 28, 677, 318, 112 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 28, 677, 318, 112 is 1.
Therefore, GCD of numbers 28, 677, 318, 112 is 1
Given Input Data is 28, 677, 318, 112
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 677 is 677
Prime Factorization of 318 is 2 x 3 x 53
Prime Factorization of 112 is 2 x 2 x 2 x 2 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(28, 677) = 18956
GCD(28, 677) = ( 28 x 677 ) / 18956
GCD(28, 677) = 18956 / 18956
GCD(28, 677) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 318
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 318) = 318
GCD(1, 318) = ( 1 x 318 ) / 318
GCD(1, 318) = 318 / 318
GCD(1, 318) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 112
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 112) = 112
GCD(1, 112) = ( 1 x 112 ) / 112
GCD(1, 112) = 112 / 112
GCD(1, 112) = 1
GCD of 28, 677, 318, 112 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 28, 677, 318, 112?
GCD of 28, 677, 318, 112 is 1
2. Where do I get the detailed procedure to find GCD of 28, 677, 318, 112?
You can find a detailed procedure to find GCD of 28, 677, 318, 112 on our page.
3. How to find GCD of 28, 677, 318, 112 on a calculator?
You can find the GCD of 28, 677, 318, 112 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.