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, 126, 94, 188 i.e. 2 largest integer that divides all the numbers equally.
GCD of 834, 126, 94, 188 is 2
GCD(834, 126, 94, 188) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 834, 126, 94, 188 is 2
GCD(834, 126, 94, 188) = 2
Given Input numbers are 834, 126, 94, 188
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 126
List of positive integer divisors of 126 that divides 126 without a remainder.
1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126
Divisors of 94
List of positive integer divisors of 94 that divides 94 without a remainder.
1, 2, 47, 94
Divisors of 188
List of positive integer divisors of 188 that divides 188 without a remainder.
1, 2, 4, 47, 94, 188
Greatest Common Divisior
We found the divisors of 834, 126, 94, 188 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 834, 126, 94, 188 is 2.
Therefore, GCD of numbers 834, 126, 94, 188 is 2
Given Input Data is 834, 126, 94, 188
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 126 is 2 x 3 x 3 x 7
Prime Factorization of 94 is 2 x 47
Prime Factorization of 188 is 2 x 2 x 47
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
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, 126) = 17514
GCD(834, 126) = ( 834 x 126 ) / 17514
GCD(834, 126) = 105084 / 17514
GCD(834, 126) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 94
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 94) = 282
GCD(6, 94) = ( 6 x 94 ) / 282
GCD(6, 94) = 564 / 282
GCD(6, 94) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 188
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 188) = 188
GCD(2, 188) = ( 2 x 188 ) / 188
GCD(2, 188) = 376 / 188
GCD(2, 188) = 2
GCD of 834, 126, 94, 188 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 834, 126, 94, 188?
GCD of 834, 126, 94, 188 is 2
2. Where do I get the detailed procedure to find GCD of 834, 126, 94, 188?
You can find a detailed procedure to find GCD of 834, 126, 94, 188 on our page.
3. How to find GCD of 834, 126, 94, 188 on a calculator?
You can find the GCD of 834, 126, 94, 188 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.