Online GCD Calculator is useful to find the GCD of 168, 684, 276 quickly. Get the easiest ways to solve the greatest common divisor of 168, 684, 276 i.e 12 in different methods as follows.
Given Input numbers are 168, 684, 276
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 684 :
The positive integer divisors of 684 that completely divides 684 are.
1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
Divisors of 276 :
The positive integer divisors of 276 that completely divides 276 are.
1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276
GCD of numbers is the greatest common divisor
So, the GCD (168, 684, 276) = 12.
Given numbers are 168, 684, 276
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 684 are 2 x 2 x 3 x 3 x 19
Prime factors of 276 are 2 x 2 x 3 x 23
The highest common occurrence is 22 x 31
Therefore, GCD of 168, 684, 276 is 12.
Given numbers are 168, 684, 276
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(168, 684) = 9576
GCD(168, 684) = ( 168 x 684 ) / 9576
= 168 / 684
= 168
Step2:
LCM(12, 276) = 276
GCD(12, 276) = ( 12 x 276 ) / 276
= 12 / 276
= 12
So, Greatest Common Divisor of 168, 684, 276 is 12
Here are some samples of GCD of Numbers calculations.
Given numbers are 168, 684, 276
The greatest common divisor of numbers 168, 684, 276 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 168, 684, 276 is 12.
1. What is the GCD of 168, 684, 276?
GCD of given numbers 168, 684, 276 is 12
2. How to calculate the greatest common divisor of 168, 684, 276?
We can find the highest common divisor of 168, 684, 276 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, 684, 276 i.e 12.
3. How can I use the GCD of 168, 684, 276Calculator?
Out the numbers 168, 684, 276 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.