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, 426, 675, 891 i.e. 1 largest integer that divides all the numbers equally.
GCD of 832, 426, 675, 891 is 1
GCD(832, 426, 675, 891) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 832, 426, 675, 891 is 1
GCD(832, 426, 675, 891) = 1
Given Input numbers are 832, 426, 675, 891
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 426
List of positive integer divisors of 426 that divides 426 without a remainder.
1, 2, 3, 6, 71, 142, 213, 426
Divisors of 675
List of positive integer divisors of 675 that divides 675 without a remainder.
1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675
Divisors of 891
List of positive integer divisors of 891 that divides 891 without a remainder.
1, 3, 9, 11, 27, 33, 81, 99, 297, 891
Greatest Common Divisior
We found the divisors of 832, 426, 675, 891 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 832, 426, 675, 891 is 1.
Therefore, GCD of numbers 832, 426, 675, 891 is 1
Given Input Data is 832, 426, 675, 891
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 426 is 2 x 3 x 71
Prime Factorization of 675 is 3 x 3 x 3 x 5 x 5
Prime Factorization of 891 is 3 x 3 x 3 x 3 x 11
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, 426) = 177216
GCD(832, 426) = ( 832 x 426 ) / 177216
GCD(832, 426) = 354432 / 177216
GCD(832, 426) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 675
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 675) = 1350
GCD(2, 675) = ( 2 x 675 ) / 1350
GCD(2, 675) = 1350 / 1350
GCD(2, 675) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 891
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 891) = 891
GCD(1, 891) = ( 1 x 891 ) / 891
GCD(1, 891) = 891 / 891
GCD(1, 891) = 1
GCD of 832, 426, 675, 891 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 832, 426, 675, 891?
GCD of 832, 426, 675, 891 is 1
2. Where do I get the detailed procedure to find GCD of 832, 426, 675, 891?
You can find a detailed procedure to find GCD of 832, 426, 675, 891 on our page.
3. How to find GCD of 832, 426, 675, 891 on a calculator?
You can find the GCD of 832, 426, 675, 891 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.