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, 854, 130, 985 i.e. 1 largest integer that divides all the numbers equally.
GCD of 832, 854, 130, 985 is 1
GCD(832, 854, 130, 985) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 832, 854, 130, 985 is 1
GCD(832, 854, 130, 985) = 1
Given Input numbers are 832, 854, 130, 985
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 854
List of positive integer divisors of 854 that divides 854 without a remainder.
1, 2, 7, 14, 61, 122, 427, 854
Divisors of 130
List of positive integer divisors of 130 that divides 130 without a remainder.
1, 2, 5, 10, 13, 26, 65, 130
Divisors of 985
List of positive integer divisors of 985 that divides 985 without a remainder.
1, 5, 197, 985
Greatest Common Divisior
We found the divisors of 832, 854, 130, 985 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 832, 854, 130, 985 is 1.
Therefore, GCD of numbers 832, 854, 130, 985 is 1
Given Input Data is 832, 854, 130, 985
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 854 is 2 x 7 x 61
Prime Factorization of 130 is 2 x 5 x 13
Prime Factorization of 985 is 5 x 197
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, 854) = 355264
GCD(832, 854) = ( 832 x 854 ) / 355264
GCD(832, 854) = 710528 / 355264
GCD(832, 854) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 130
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 130) = 130
GCD(2, 130) = ( 2 x 130 ) / 130
GCD(2, 130) = 260 / 130
GCD(2, 130) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 985
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 985) = 1970
GCD(2, 985) = ( 2 x 985 ) / 1970
GCD(2, 985) = 1970 / 1970
GCD(2, 985) = 1
GCD of 832, 854, 130, 985 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 832, 854, 130, 985?
GCD of 832, 854, 130, 985 is 1
2. Where do I get the detailed procedure to find GCD of 832, 854, 130, 985?
You can find a detailed procedure to find GCD of 832, 854, 130, 985 on our page.
3. How to find GCD of 832, 854, 130, 985 on a calculator?
You can find the GCD of 832, 854, 130, 985 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.