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, 843, 96, 282 i.e. 1 largest integer that divides all the numbers equally.
GCD of 832, 843, 96, 282 is 1
GCD(832, 843, 96, 282) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 832, 843, 96, 282 is 1
GCD(832, 843, 96, 282) = 1
Given Input numbers are 832, 843, 96, 282
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 843
List of positive integer divisors of 843 that divides 843 without a remainder.
1, 3, 281, 843
Divisors of 96
List of positive integer divisors of 96 that divides 96 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
Divisors of 282
List of positive integer divisors of 282 that divides 282 without a remainder.
1, 2, 3, 6, 47, 94, 141, 282
Greatest Common Divisior
We found the divisors of 832, 843, 96, 282 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 832, 843, 96, 282 is 1.
Therefore, GCD of numbers 832, 843, 96, 282 is 1
Given Input Data is 832, 843, 96, 282
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 843 is 3 x 281
Prime Factorization of 96 is 2 x 2 x 2 x 2 x 2 x 3
Prime Factorization of 282 is 2 x 3 x 47
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, 843) = 701376
GCD(832, 843) = ( 832 x 843 ) / 701376
GCD(832, 843) = 701376 / 701376
GCD(832, 843) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 96
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 96) = 96
GCD(1, 96) = ( 1 x 96 ) / 96
GCD(1, 96) = 96 / 96
GCD(1, 96) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 282
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 282) = 282
GCD(1, 282) = ( 1 x 282 ) / 282
GCD(1, 282) = 282 / 282
GCD(1, 282) = 1
GCD of 832, 843, 96, 282 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 832, 843, 96, 282?
GCD of 832, 843, 96, 282 is 1
2. Where do I get the detailed procedure to find GCD of 832, 843, 96, 282?
You can find a detailed procedure to find GCD of 832, 843, 96, 282 on our page.
3. How to find GCD of 832, 843, 96, 282 on a calculator?
You can find the GCD of 832, 843, 96, 282 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.