Online GCD Calculator is useful to find the GCD of 168, 966, 184, 920 quickly. Get the easiest ways to solve the greatest common divisor of 168, 966, 184, 920 i.e 2 in different methods as follows.
Given Input numbers are 168, 966, 184, 920
In the factoring method, we have to find the divisors of all numbers
Divisors of 168 :
The positive integer divisors of 168 that completely divides 168 are.
1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
Divisors of 966 :
The positive integer divisors of 966 that completely divides 966 are.
1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966
Divisors of 184 :
The positive integer divisors of 184 that completely divides 184 are.
1, 2, 4, 8, 23, 46, 92, 184
Divisors of 920 :
The positive integer divisors of 920 that completely divides 920 are.
1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
GCD of numbers is the greatest common divisor
So, the GCD (168, 966, 184, 920) = 2.
Given numbers are 168, 966, 184, 920
The list of prime factors of all numbers are
Prime factors of 168 are 2 x 2 x 2 x 3 x 7
Prime factors of 966 are 2 x 3 x 7 x 23
Prime factors of 184 are 2 x 2 x 2 x 23
Prime factors of 920 are 2 x 2 x 2 x 5 x 23
The highest common occurrence is 21
Therefore, GCD of 168, 966, 184, 920 is 2.
Given numbers are 168, 966, 184, 920
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(168, 966) = 3864
GCD(168, 966) = ( 168 x 966 ) / 3864
= 168 / 966
= 168
Step2:
LCM(42, 184) = 3864
GCD(42, 184) = ( 42 x 184 ) / 3864
= 42 / 184
= 42
Step3:
LCM(2, 920) = 920
GCD(2, 920) = ( 2 x 920 ) / 920
= 2 / 920
= 2
So, Greatest Common Divisor of 168, 966, 184, 920 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 168, 966, 184, 920
The greatest common divisor of numbers 168, 966, 184, 920 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 168, 966, 184, 920 is 2.
1. What is the GCD of 168, 966, 184, 920?
GCD of given numbers 168, 966, 184, 920 is 2
2. How to calculate the greatest common divisor of 168, 966, 184, 920?
We can find the highest common divisor of 168, 966, 184, 920 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 168, 966, 184, 920 i.e 2.
3. How can I use the GCD of 168, 966, 184, 920Calculator?
Out the numbers 168, 966, 184, 920 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.