Online GCD Calculator is useful to find the GCD of 684, 194, 668, 156 quickly. Get the easiest ways to solve the greatest common divisor of 684, 194, 668, 156 i.e 2 in different methods as follows.
Given Input numbers are 684, 194, 668, 156
In the factoring method, we have to find the divisors of all numbers
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 194 :
The positive integer divisors of 194 that completely divides 194 are.
1, 2, 97, 194
Divisors of 668 :
The positive integer divisors of 668 that completely divides 668 are.
1, 2, 4, 167, 334, 668
Divisors of 156 :
The positive integer divisors of 156 that completely divides 156 are.
1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156
GCD of numbers is the greatest common divisor
So, the GCD (684, 194, 668, 156) = 2.
Given numbers are 684, 194, 668, 156
The list of prime factors of all numbers are
Prime factors of 684 are 2 x 2 x 3 x 3 x 19
Prime factors of 194 are 2 x 97
Prime factors of 668 are 2 x 2 x 167
Prime factors of 156 are 2 x 2 x 3 x 13
The highest common occurrence is 21
Therefore, GCD of 684, 194, 668, 156 is 2.
Given numbers are 684, 194, 668, 156
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(684, 194) = 66348
GCD(684, 194) = ( 684 x 194 ) / 66348
= 684 / 194
= 684
Step2:
LCM(2, 668) = 668
GCD(2, 668) = ( 2 x 668 ) / 668
= 2 / 668
= 2
Step3:
LCM(2, 156) = 156
GCD(2, 156) = ( 2 x 156 ) / 156
= 2 / 156
= 2
So, Greatest Common Divisor of 684, 194, 668, 156 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 684, 194, 668, 156
The greatest common divisor of numbers 684, 194, 668, 156 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 684, 194, 668, 156 is 2.
1. What is the GCD of 684, 194, 668, 156?
GCD of given numbers 684, 194, 668, 156 is 2
2. How to calculate the greatest common divisor of 684, 194, 668, 156?
We can find the highest common divisor of 684, 194, 668, 156 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 684, 194, 668, 156 i.e 2.
3. How can I use the GCD of 684, 194, 668, 156Calculator?
Out the numbers 684, 194, 668, 156 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.