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, 872, 42, 619 i.e. 1 largest integer that divides all the numbers equally.
GCD of 834, 872, 42, 619 is 1
GCD(834, 872, 42, 619) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 834, 872, 42, 619 is 1
GCD(834, 872, 42, 619) = 1
Given Input numbers are 834, 872, 42, 619
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 872
List of positive integer divisors of 872 that divides 872 without a remainder.
1, 2, 4, 8, 109, 218, 436, 872
Divisors of 42
List of positive integer divisors of 42 that divides 42 without a remainder.
1, 2, 3, 6, 7, 14, 21, 42
Divisors of 619
List of positive integer divisors of 619 that divides 619 without a remainder.
1, 619
Greatest Common Divisior
We found the divisors of 834, 872, 42, 619 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 834, 872, 42, 619 is 1.
Therefore, GCD of numbers 834, 872, 42, 619 is 1
Given Input Data is 834, 872, 42, 619
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 872 is 2 x 2 x 2 x 109
Prime Factorization of 42 is 2 x 3 x 7
Prime Factorization of 619 is 619
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, 872) = 363624
GCD(834, 872) = ( 834 x 872 ) / 363624
GCD(834, 872) = 727248 / 363624
GCD(834, 872) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 42
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 42) = 42
GCD(2, 42) = ( 2 x 42 ) / 42
GCD(2, 42) = 84 / 42
GCD(2, 42) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 619
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 619) = 1238
GCD(2, 619) = ( 2 x 619 ) / 1238
GCD(2, 619) = 1238 / 1238
GCD(2, 619) = 1
GCD of 834, 872, 42, 619 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 834, 872, 42, 619?
GCD of 834, 872, 42, 619 is 1
2. Where do I get the detailed procedure to find GCD of 834, 872, 42, 619?
You can find a detailed procedure to find GCD of 834, 872, 42, 619 on our page.
3. How to find GCD of 834, 872, 42, 619 on a calculator?
You can find the GCD of 834, 872, 42, 619 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.