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, 343, 61, 422 i.e. 1 largest integer that divides all the numbers equally.
GCD of 834, 343, 61, 422 is 1
GCD(834, 343, 61, 422) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 834, 343, 61, 422 is 1
GCD(834, 343, 61, 422) = 1
Given Input numbers are 834, 343, 61, 422
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 343
List of positive integer divisors of 343 that divides 343 without a remainder.
1, 7, 49, 343
Divisors of 61
List of positive integer divisors of 61 that divides 61 without a remainder.
1, 61
Divisors of 422
List of positive integer divisors of 422 that divides 422 without a remainder.
1, 2, 211, 422
Greatest Common Divisior
We found the divisors of 834, 343, 61, 422 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 834, 343, 61, 422 is 1.
Therefore, GCD of numbers 834, 343, 61, 422 is 1
Given Input Data is 834, 343, 61, 422
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 343 is 7 x 7 x 7
Prime Factorization of 61 is 61
Prime Factorization of 422 is 2 x 211
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, 343) = 286062
GCD(834, 343) = ( 834 x 343 ) / 286062
GCD(834, 343) = 286062 / 286062
GCD(834, 343) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 61
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 61) = 61
GCD(1, 61) = ( 1 x 61 ) / 61
GCD(1, 61) = 61 / 61
GCD(1, 61) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 422
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 422) = 422
GCD(1, 422) = ( 1 x 422 ) / 422
GCD(1, 422) = 422 / 422
GCD(1, 422) = 1
GCD of 834, 343, 61, 422 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 834, 343, 61, 422?
GCD of 834, 343, 61, 422 is 1
2. Where do I get the detailed procedure to find GCD of 834, 343, 61, 422?
You can find a detailed procedure to find GCD of 834, 343, 61, 422 on our page.
3. How to find GCD of 834, 343, 61, 422 on a calculator?
You can find the GCD of 834, 343, 61, 422 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.