Online GCD Calculator is useful to find the GCD of 834, 368, 164, 296 quickly. Get the easiest ways to solve the greatest common divisor of 834, 368, 164, 296 i.e 2 in different methods as follows.
Given Input numbers are 834, 368, 164, 296
In the factoring method, we have to find the divisors of all numbers
Divisors of 834 :
The positive integer divisors of 834 that completely divides 834 are.
1, 2, 3, 6, 139, 278, 417, 834
Divisors of 368 :
The positive integer divisors of 368 that completely divides 368 are.
1, 2, 4, 8, 16, 23, 46, 92, 184, 368
Divisors of 164 :
The positive integer divisors of 164 that completely divides 164 are.
1, 2, 4, 41, 82, 164
Divisors of 296 :
The positive integer divisors of 296 that completely divides 296 are.
1, 2, 4, 8, 37, 74, 148, 296
GCD of numbers is the greatest common divisor
So, the GCD (834, 368, 164, 296) = 2.
Given numbers are 834, 368, 164, 296
The list of prime factors of all numbers are
Prime factors of 834 are 2 x 3 x 139
Prime factors of 368 are 2 x 2 x 2 x 2 x 23
Prime factors of 164 are 2 x 2 x 41
Prime factors of 296 are 2 x 2 x 2 x 37
The highest common occurrence is 21
Therefore, GCD of 834, 368, 164, 296 is 2.
Given numbers are 834, 368, 164, 296
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(834, 368) = 153456
GCD(834, 368) = ( 834 x 368 ) / 153456
= 834 / 368
= 834
Step2:
LCM(2, 164) = 164
GCD(2, 164) = ( 2 x 164 ) / 164
= 2 / 164
= 2
Step3:
LCM(2, 296) = 296
GCD(2, 296) = ( 2 x 296 ) / 296
= 2 / 296
= 2
So, Greatest Common Divisor of 834, 368, 164, 296 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 834, 368, 164, 296
The greatest common divisor of numbers 834, 368, 164, 296 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 834, 368, 164, 296 is 2.
1. What is the GCD of 834, 368, 164, 296?
GCD of given numbers 834, 368, 164, 296 is 2
2. How to calculate the greatest common divisor of 834, 368, 164, 296?
We can find the highest common divisor of 834, 368, 164, 296 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 834, 368, 164, 296 i.e 2.
3. How can I use the GCD of 834, 368, 164, 296Calculator?
Out the numbers 834, 368, 164, 296 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.