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 110, 888, 294, 928 i.e. 2 largest integer that divides all the numbers equally.
GCD of 110, 888, 294, 928 is 2
GCD(110, 888, 294, 928) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 110, 888, 294, 928 is 2
GCD(110, 888, 294, 928) = 2
Given Input numbers are 110, 888, 294, 928
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 110
List of positive integer divisors of 110 that divides 110 without a remainder.
1, 2, 5, 10, 11, 22, 55, 110
Divisors of 888
List of positive integer divisors of 888 that divides 888 without a remainder.
1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888
Divisors of 294
List of positive integer divisors of 294 that divides 294 without a remainder.
1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294
Divisors of 928
List of positive integer divisors of 928 that divides 928 without a remainder.
1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928
Greatest Common Divisior
We found the divisors of 110, 888, 294, 928 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 110, 888, 294, 928 is 2.
Therefore, GCD of numbers 110, 888, 294, 928 is 2
Given Input Data is 110, 888, 294, 928
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 110 is 2 x 5 x 11
Prime Factorization of 888 is 2 x 2 x 2 x 3 x 37
Prime Factorization of 294 is 2 x 3 x 7 x 7
Prime Factorization of 928 is 2 x 2 x 2 x 2 x 2 x 29
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
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(110, 888) = 48840
GCD(110, 888) = ( 110 x 888 ) / 48840
GCD(110, 888) = 97680 / 48840
GCD(110, 888) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 294
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 294) = 294
GCD(2, 294) = ( 2 x 294 ) / 294
GCD(2, 294) = 588 / 294
GCD(2, 294) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 928
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 928) = 928
GCD(2, 928) = ( 2 x 928 ) / 928
GCD(2, 928) = 1856 / 928
GCD(2, 928) = 2
GCD of 110, 888, 294, 928 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 110, 888, 294, 928?
GCD of 110, 888, 294, 928 is 2
2. Where do I get the detailed procedure to find GCD of 110, 888, 294, 928?
You can find a detailed procedure to find GCD of 110, 888, 294, 928 on our page.
3. How to find GCD of 110, 888, 294, 928 on a calculator?
You can find the GCD of 110, 888, 294, 928 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.