Online GCD Calculator is useful to find the GCD of 168, 216, 966, 140 quickly. Get the easiest ways to solve the greatest common divisor of 168, 216, 966, 140 i.e 2 in different methods as follows.
Given Input numbers are 168, 216, 966, 140
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 216 :
The positive integer divisors of 216 that completely divides 216 are.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
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 140 :
The positive integer divisors of 140 that completely divides 140 are.
1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
GCD of numbers is the greatest common divisor
So, the GCD (168, 216, 966, 140) = 2.
Given numbers are 168, 216, 966, 140
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 216 are 2 x 2 x 2 x 3 x 3 x 3
Prime factors of 966 are 2 x 3 x 7 x 23
Prime factors of 140 are 2 x 2 x 5 x 7
The highest common occurrence is 21
Therefore, GCD of 168, 216, 966, 140 is 2.
Given numbers are 168, 216, 966, 140
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(168, 216) = 1512
GCD(168, 216) = ( 168 x 216 ) / 1512
= 168 / 216
= 168
Step2:
LCM(24, 966) = 3864
GCD(24, 966) = ( 24 x 966 ) / 3864
= 24 / 966
= 24
Step3:
LCM(6, 140) = 420
GCD(6, 140) = ( 6 x 140 ) / 420
= 6 / 140
= 6
So, Greatest Common Divisor of 168, 216, 966, 140 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 168, 216, 966, 140
The greatest common divisor of numbers 168, 216, 966, 140 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 168, 216, 966, 140 is 2.
1. What is the GCD of 168, 216, 966, 140?
GCD of given numbers 168, 216, 966, 140 is 2
2. How to calculate the greatest common divisor of 168, 216, 966, 140?
We can find the highest common divisor of 168, 216, 966, 140 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, 216, 966, 140 i.e 2.
3. How can I use the GCD of 168, 216, 966, 140Calculator?
Out the numbers 168, 216, 966, 140 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.