GCD of 864, 732, 933 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 864, 732, 933 i.e. 3 largest integer that divides all the numbers equally.
GCD of 864, 732, 933 is 3
GCD(864, 732, 933) = 3
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 864, 732, 933 is 3
GCD(864, 732, 933) = 3
GCDof 864,732,933 is 3
Given Input numbers are 864, 732, 933
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 864
List of positive integer divisors of 864 that divides 864 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864
Divisors of 732
List of positive integer divisors of 732 that divides 732 without a remainder.
1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732
Divisors of 933
List of positive integer divisors of 933 that divides 933 without a remainder.
1, 3, 311, 933
Greatest Common Divisior
We found the divisors of 864, 732, 933 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 864, 732, 933 is 3.
Therefore, GCD of numbers 864, 732, 933 is 3
Given Input Data is 864, 732, 933
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 864 is 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3
Prime Factorization of 732 is 2 x 2 x 3 x 61
Prime Factorization of 933 is 3 x 311
Highest common occurrences in the given inputs are 31
Multiplying them we get the GCD as 3
Finding GCD of 864, 732, 933 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(864, 732) = 52704
GCD(864, 732) = ( 864 x 732 ) / 52704
GCD(864, 732) = 632448 / 52704
GCD(864, 732) = 12
Step2:
Here we consider the GCD from the above i.e. 12 as first number and the next as 933
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(12, 933) = 3732
GCD(12, 933) = ( 12 x 933 ) / 3732
GCD(12, 933) = 11196 / 3732
GCD(12, 933) = 3
GCD of 864, 732, 933 is 3
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FAQs on GCD of numbers 864, 732, 933
1. What is the GCD of 864, 732, 933?
GCD of 864, 732, 933 is 3
2. Where do I get the detailed procedure to find GCD of 864, 732, 933?
You can find a detailed procedure to find GCD of 864, 732, 933 on our page.
3. How to find GCD of 864, 732, 933 on a calculator?
You can find the GCD of 864, 732, 933 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.