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 732, 432, 82, 864 i.e. 2 largest integer that divides all the numbers equally.
GCD of 732, 432, 82, 864 is 2
GCD(732, 432, 82, 864) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 732, 432, 82, 864 is 2
GCD(732, 432, 82, 864) = 2
Given Input numbers are 732, 432, 82, 864
To find the GCD of numbers using factoring list out all the divisors of each number
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 432
List of positive integer divisors of 432 that divides 432 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432
Divisors of 82
List of positive integer divisors of 82 that divides 82 without a remainder.
1, 2, 41, 82
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
Greatest Common Divisior
We found the divisors of 732, 432, 82, 864 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 732, 432, 82, 864 is 2.
Therefore, GCD of numbers 732, 432, 82, 864 is 2
Given Input Data is 732, 432, 82, 864
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 732 is 2 x 2 x 3 x 61
Prime Factorization of 432 is 2 x 2 x 2 x 2 x 3 x 3 x 3
Prime Factorization of 82 is 2 x 41
Prime Factorization of 864 is 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3
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(732, 432) = 26352
GCD(732, 432) = ( 732 x 432 ) / 26352
GCD(732, 432) = 316224 / 26352
GCD(732, 432) = 12
Step2:
Here we consider the GCD from the above i.e. 12 as first number and the next as 82
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(12, 82) = 492
GCD(12, 82) = ( 12 x 82 ) / 492
GCD(12, 82) = 984 / 492
GCD(12, 82) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 864
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 864) = 864
GCD(2, 864) = ( 2 x 864 ) / 864
GCD(2, 864) = 1728 / 864
GCD(2, 864) = 2
GCD of 732, 432, 82, 864 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 732, 432, 82, 864?
GCD of 732, 432, 82, 864 is 2
2. Where do I get the detailed procedure to find GCD of 732, 432, 82, 864?
You can find a detailed procedure to find GCD of 732, 432, 82, 864 on our page.
3. How to find GCD of 732, 432, 82, 864 on a calculator?
You can find the GCD of 732, 432, 82, 864 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.