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 834, 421, 989, 575 i.e. 1 largest integer that divides all the numbers equally.
GCD of 834, 421, 989, 575 is 1
GCD(834, 421, 989, 575) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 834, 421, 989, 575 is 1
GCD(834, 421, 989, 575) = 1
Given Input numbers are 834, 421, 989, 575
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 834
List of positive integer divisors of 834 that divides 834 without a remainder.
1, 2, 3, 6, 139, 278, 417, 834
Divisors of 421
List of positive integer divisors of 421 that divides 421 without a remainder.
1, 421
Divisors of 989
List of positive integer divisors of 989 that divides 989 without a remainder.
1, 23, 43, 989
Divisors of 575
List of positive integer divisors of 575 that divides 575 without a remainder.
1, 5, 23, 25, 115, 575
Greatest Common Divisior
We found the divisors of 834, 421, 989, 575 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 834, 421, 989, 575 is 1.
Therefore, GCD of numbers 834, 421, 989, 575 is 1
Given Input Data is 834, 421, 989, 575
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 834 is 2 x 3 x 139
Prime Factorization of 421 is 421
Prime Factorization of 989 is 23 x 43
Prime Factorization of 575 is 5 x 5 x 23
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(834, 421) = 351114
GCD(834, 421) = ( 834 x 421 ) / 351114
GCD(834, 421) = 351114 / 351114
GCD(834, 421) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 989
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 989) = 989
GCD(1, 989) = ( 1 x 989 ) / 989
GCD(1, 989) = 989 / 989
GCD(1, 989) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 575
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 575) = 575
GCD(1, 575) = ( 1 x 575 ) / 575
GCD(1, 575) = 575 / 575
GCD(1, 575) = 1
GCD of 834, 421, 989, 575 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 834, 421, 989, 575?
GCD of 834, 421, 989, 575 is 1
2. Where do I get the detailed procedure to find GCD of 834, 421, 989, 575?
You can find a detailed procedure to find GCD of 834, 421, 989, 575 on our page.
3. How to find GCD of 834, 421, 989, 575 on a calculator?
You can find the GCD of 834, 421, 989, 575 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.