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 884, 520, 182 i.e. 26 largest integer that divides all the numbers equally.
GCD of 884, 520, 182 is 26
GCD(884, 520, 182) = 26
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 884, 520, 182 is 26
GCD(884, 520, 182) = 26
Given Input numbers are 884, 520, 182
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 884
List of positive integer divisors of 884 that divides 884 without a remainder.
1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884
Divisors of 520
List of positive integer divisors of 520 that divides 520 without a remainder.
1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520
Divisors of 182
List of positive integer divisors of 182 that divides 182 without a remainder.
1, 2, 7, 13, 14, 26, 91, 182
Greatest Common Divisior
We found the divisors of 884, 520, 182 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 884, 520, 182 is 26.
Therefore, GCD of numbers 884, 520, 182 is 26
Given Input Data is 884, 520, 182
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 884 is 2 x 2 x 13 x 17
Prime Factorization of 520 is 2 x 2 x 2 x 5 x 13
Prime Factorization of 182 is 2 x 7 x 13
Highest common occurrences in the given inputs are 131 x 21
Multiplying them we get the GCD as 26
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(884, 520) = 8840
GCD(884, 520) = ( 884 x 520 ) / 8840
GCD(884, 520) = 459680 / 8840
GCD(884, 520) = 52
Step2:
Here we consider the GCD from the above i.e. 52 as first number and the next as 182
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(52, 182) = 364
GCD(52, 182) = ( 52 x 182 ) / 364
GCD(52, 182) = 9464 / 364
GCD(52, 182) = 26
GCD of 884, 520, 182 is 26
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 884, 520, 182?
GCD of 884, 520, 182 is 26
2. Where do I get the detailed procedure to find GCD of 884, 520, 182?
You can find a detailed procedure to find GCD of 884, 520, 182 on our page.
3. How to find GCD of 884, 520, 182 on a calculator?
You can find the GCD of 884, 520, 182 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.