GCD of 936, 288, 824 Calculator
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 936, 288, 824 i.e. 8 largest integer that divides all the numbers equally.
GCD of 936, 288, 824 is 8
GCD(936, 288, 824) = 8
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 936, 288, 824 is 8
GCD(936, 288, 824) = 8
GCDof 936,288,824 is 8
Given Input numbers are 936, 288, 824
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 936
List of positive integer divisors of 936 that divides 936 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936
Divisors of 288
List of positive integer divisors of 288 that divides 288 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
Divisors of 824
List of positive integer divisors of 824 that divides 824 without a remainder.
1, 2, 4, 8, 103, 206, 412, 824
Greatest Common Divisior
We found the divisors of 936, 288, 824 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 936, 288, 824 is 8.
Therefore, GCD of numbers 936, 288, 824 is 8
Given Input Data is 936, 288, 824
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 936 is 2 x 2 x 2 x 3 x 3 x 13
Prime Factorization of 288 is 2 x 2 x 2 x 2 x 2 x 3 x 3
Prime Factorization of 824 is 2 x 2 x 2 x 103
Highest common occurrences in the given inputs are 23
Multiplying them we get the GCD as 8
Finding GCD of 936, 288, 824 using LCM Formula
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(936, 288) = 3744
GCD(936, 288) = ( 936 x 288 ) / 3744
GCD(936, 288) = 269568 / 3744
GCD(936, 288) = 72
Step2:
Here we consider the GCD from the above i.e. 72 as first number and the next as 824
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(72, 824) = 7416
GCD(72, 824) = ( 72 x 824 ) / 7416
GCD(72, 824) = 59328 / 7416
GCD(72, 824) = 8
GCD of 936, 288, 824 is 8
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FAQs on GCD of numbers 936, 288, 824
1. What is the GCD of 936, 288, 824?
GCD of 936, 288, 824 is 8
2. Where do I get the detailed procedure to find GCD of 936, 288, 824?
You can find a detailed procedure to find GCD of 936, 288, 824 on our page.
3. How to find GCD of 936, 288, 824 on a calculator?
You can find the GCD of 936, 288, 824 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.