GCD of 936, 936, 540 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, 936, 540 i.e. 36 largest integer that divides all the numbers equally.
GCD of 936, 936, 540 is 36
GCD(936, 936, 540) = 36
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 936, 936, 540 is 36
GCD(936, 936, 540) = 36
GCDof 936,936,540 is 36
Given Input numbers are 936, 936, 540
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 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 540
List of positive integer divisors of 540 that divides 540 without a remainder.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540
Greatest Common Divisior
We found the divisors of 936, 936, 540 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 936, 936, 540 is 36.
Therefore, GCD of numbers 936, 936, 540 is 36
Given Input Data is 936, 936, 540
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 936 is 2 x 2 x 2 x 3 x 3 x 13
Prime Factorization of 540 is 2 x 2 x 3 x 3 x 3 x 5
Highest common occurrences in the given inputs are 22 x 32
Multiplying them we get the GCD as 36
Finding GCD of 936, 936, 540 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, 936) = 936
GCD(936, 936) = ( 936 x 936 ) / 936
GCD(936, 936) = 876096 / 936
GCD(936, 936) = 936
Step2:
Here we consider the GCD from the above i.e. 936 as first number and the next as 540
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(936, 540) = 14040
GCD(936, 540) = ( 936 x 540 ) / 14040
GCD(936, 540) = 505440 / 14040
GCD(936, 540) = 36
GCD of 936, 936, 540 is 36
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FAQs on GCD of numbers 936, 936, 540
1. What is the GCD of 936, 936, 540?
GCD of 936, 936, 540 is 36
2. Where do I get the detailed procedure to find GCD of 936, 936, 540?
You can find a detailed procedure to find GCD of 936, 936, 540 on our page.
3. How to find GCD of 936, 936, 540 on a calculator?
You can find the GCD of 936, 936, 540 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.