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, 528, 90, 794 i.e. 2 largest integer that divides all the numbers equally.
GCD of 110, 528, 90, 794 is 2
GCD(110, 528, 90, 794) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 110, 528, 90, 794 is 2
GCD(110, 528, 90, 794) = 2
Given Input numbers are 110, 528, 90, 794
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 528
List of positive integer divisors of 528 that divides 528 without a remainder.
1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528
Divisors of 90
List of positive integer divisors of 90 that divides 90 without a remainder.
1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90
Divisors of 794
List of positive integer divisors of 794 that divides 794 without a remainder.
1, 2, 397, 794
Greatest Common Divisior
We found the divisors of 110, 528, 90, 794 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 110, 528, 90, 794 is 2.
Therefore, GCD of numbers 110, 528, 90, 794 is 2
Given Input Data is 110, 528, 90, 794
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 528 is 2 x 2 x 2 x 2 x 3 x 11
Prime Factorization of 90 is 2 x 3 x 3 x 5
Prime Factorization of 794 is 2 x 397
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, 528) = 2640
GCD(110, 528) = ( 110 x 528 ) / 2640
GCD(110, 528) = 58080 / 2640
GCD(110, 528) = 22
Step2:
Here we consider the GCD from the above i.e. 22 as first number and the next as 90
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(22, 90) = 990
GCD(22, 90) = ( 22 x 90 ) / 990
GCD(22, 90) = 1980 / 990
GCD(22, 90) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 794
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 794) = 794
GCD(2, 794) = ( 2 x 794 ) / 794
GCD(2, 794) = 1588 / 794
GCD(2, 794) = 2
GCD of 110, 528, 90, 794 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 110, 528, 90, 794?
GCD of 110, 528, 90, 794 is 2
2. Where do I get the detailed procedure to find GCD of 110, 528, 90, 794?
You can find a detailed procedure to find GCD of 110, 528, 90, 794 on our page.
3. How to find GCD of 110, 528, 90, 794 on a calculator?
You can find the GCD of 110, 528, 90, 794 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.