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 794, 182, 528, 828 i.e. 2 largest integer that divides all the numbers equally.
GCD of 794, 182, 528, 828 is 2
GCD(794, 182, 528, 828) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 794, 182, 528, 828 is 2
GCD(794, 182, 528, 828) = 2
Given Input numbers are 794, 182, 528, 828
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 794
List of positive integer divisors of 794 that divides 794 without a remainder.
1, 2, 397, 794
Divisors of 182
List of positive integer divisors of 182 that divides 182 without a remainder.
1, 2, 7, 13, 14, 26, 91, 182
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 828
List of positive integer divisors of 828 that divides 828 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
Greatest Common Divisior
We found the divisors of 794, 182, 528, 828 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 794, 182, 528, 828 is 2.
Therefore, GCD of numbers 794, 182, 528, 828 is 2
Given Input Data is 794, 182, 528, 828
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 794 is 2 x 397
Prime Factorization of 182 is 2 x 7 x 13
Prime Factorization of 528 is 2 x 2 x 2 x 2 x 3 x 11
Prime Factorization of 828 is 2 x 2 x 3 x 3 x 23
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(794, 182) = 72254
GCD(794, 182) = ( 794 x 182 ) / 72254
GCD(794, 182) = 144508 / 72254
GCD(794, 182) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 528
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 528) = 528
GCD(2, 528) = ( 2 x 528 ) / 528
GCD(2, 528) = 1056 / 528
GCD(2, 528) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 828
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 828) = 828
GCD(2, 828) = ( 2 x 828 ) / 828
GCD(2, 828) = 1656 / 828
GCD(2, 828) = 2
GCD of 794, 182, 528, 828 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 794, 182, 528, 828?
GCD of 794, 182, 528, 828 is 2
2. Where do I get the detailed procedure to find GCD of 794, 182, 528, 828?
You can find a detailed procedure to find GCD of 794, 182, 528, 828 on our page.
3. How to find GCD of 794, 182, 528, 828 on a calculator?
You can find the GCD of 794, 182, 528, 828 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.