Online GCD Calculator is useful to find the GCD of 136, 318, 194, 646 quickly. Get the easiest ways to solve the greatest common divisor of 136, 318, 194, 646 i.e 2 in different methods as follows.
Given Input numbers are 136, 318, 194, 646
In the factoring method, we have to find the divisors of all numbers
Divisors of 136 :
The positive integer divisors of 136 that completely divides 136 are.
1, 2, 4, 8, 17, 34, 68, 136
Divisors of 318 :
The positive integer divisors of 318 that completely divides 318 are.
1, 2, 3, 6, 53, 106, 159, 318
Divisors of 194 :
The positive integer divisors of 194 that completely divides 194 are.
1, 2, 97, 194
Divisors of 646 :
The positive integer divisors of 646 that completely divides 646 are.
1, 2, 17, 19, 34, 38, 323, 646
GCD of numbers is the greatest common divisor
So, the GCD (136, 318, 194, 646) = 2.
Given numbers are 136, 318, 194, 646
The list of prime factors of all numbers are
Prime factors of 136 are 2 x 2 x 2 x 17
Prime factors of 318 are 2 x 3 x 53
Prime factors of 194 are 2 x 97
Prime factors of 646 are 2 x 17 x 19
The highest common occurrence is 21
Therefore, GCD of 136, 318, 194, 646 is 2.
Given numbers are 136, 318, 194, 646
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(136, 318) = 21624
GCD(136, 318) = ( 136 x 318 ) / 21624
= 136 / 318
= 136
Step2:
LCM(2, 194) = 194
GCD(2, 194) = ( 2 x 194 ) / 194
= 2 / 194
= 2
Step3:
LCM(2, 646) = 646
GCD(2, 646) = ( 2 x 646 ) / 646
= 2 / 646
= 2
So, Greatest Common Divisor of 136, 318, 194, 646 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 136, 318, 194, 646
The greatest common divisor of numbers 136, 318, 194, 646 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 136, 318, 194, 646 is 2.
1. What is the GCD of 136, 318, 194, 646?
GCD of given numbers 136, 318, 194, 646 is 2
2. How to calculate the greatest common divisor of 136, 318, 194, 646?
We can find the highest common divisor of 136, 318, 194, 646 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 136, 318, 194, 646 i.e 2.
3. How can I use the GCD of 136, 318, 194, 646Calculator?
Out the numbers 136, 318, 194, 646 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.