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 832, 432, 82, 887 i.e. 1 largest integer that divides all the numbers equally.
GCD of 832, 432, 82, 887 is 1
GCD(832, 432, 82, 887) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 832, 432, 82, 887 is 1
GCD(832, 432, 82, 887) = 1
Given Input numbers are 832, 432, 82, 887
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 832
List of positive integer divisors of 832 that divides 832 without a remainder.
1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832
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 887
List of positive integer divisors of 887 that divides 887 without a remainder.
1, 887
Greatest Common Divisior
We found the divisors of 832, 432, 82, 887 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 832, 432, 82, 887 is 1.
Therefore, GCD of numbers 832, 432, 82, 887 is 1
Given Input Data is 832, 432, 82, 887
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 832 is 2 x 2 x 2 x 2 x 2 x 2 x 13
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 887 is 887
The above numbers do not have any common prime factor. So GCD is 1
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(832, 432) = 22464
GCD(832, 432) = ( 832 x 432 ) / 22464
GCD(832, 432) = 359424 / 22464
GCD(832, 432) = 16
Step2:
Here we consider the GCD from the above i.e. 16 as first number and the next as 82
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(16, 82) = 656
GCD(16, 82) = ( 16 x 82 ) / 656
GCD(16, 82) = 1312 / 656
GCD(16, 82) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 887
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 887) = 1774
GCD(2, 887) = ( 2 x 887 ) / 1774
GCD(2, 887) = 1774 / 1774
GCD(2, 887) = 1
GCD of 832, 432, 82, 887 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 832, 432, 82, 887?
GCD of 832, 432, 82, 887 is 1
2. Where do I get the detailed procedure to find GCD of 832, 432, 82, 887?
You can find a detailed procedure to find GCD of 832, 432, 82, 887 on our page.
3. How to find GCD of 832, 432, 82, 887 on a calculator?
You can find the GCD of 832, 432, 82, 887 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.