Online GCD Calculator is useful to find the GCD of 636, 136, 230, 112 quickly. Get the easiest ways to solve the greatest common divisor of 636, 136, 230, 112 i.e 2 in different methods as follows.
Given Input numbers are 636, 136, 230, 112
In the factoring method, we have to find the divisors of all numbers
Divisors of 636 :
The positive integer divisors of 636 that completely divides 636 are.
1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636
Divisors of 136 :
The positive integer divisors of 136 that completely divides 136 are.
1, 2, 4, 8, 17, 34, 68, 136
Divisors of 230 :
The positive integer divisors of 230 that completely divides 230 are.
1, 2, 5, 10, 23, 46, 115, 230
Divisors of 112 :
The positive integer divisors of 112 that completely divides 112 are.
1, 2, 4, 7, 8, 14, 16, 28, 56, 112
GCD of numbers is the greatest common divisor
So, the GCD (636, 136, 230, 112) = 2.
Given numbers are 636, 136, 230, 112
The list of prime factors of all numbers are
Prime factors of 636 are 2 x 2 x 3 x 53
Prime factors of 136 are 2 x 2 x 2 x 17
Prime factors of 230 are 2 x 5 x 23
Prime factors of 112 are 2 x 2 x 2 x 2 x 7
The highest common occurrence is 21
Therefore, GCD of 636, 136, 230, 112 is 2.
Given numbers are 636, 136, 230, 112
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(636, 136) = 21624
GCD(636, 136) = ( 636 x 136 ) / 21624
= 636 / 136
= 636
Step2:
LCM(4, 230) = 460
GCD(4, 230) = ( 4 x 230 ) / 460
= 4 / 230
= 4
Step3:
LCM(2, 112) = 112
GCD(2, 112) = ( 2 x 112 ) / 112
= 2 / 112
= 2
So, Greatest Common Divisor of 636, 136, 230, 112 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 636, 136, 230, 112
The greatest common divisor of numbers 636, 136, 230, 112 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 636, 136, 230, 112 is 2.
1. What is the GCD of 636, 136, 230, 112?
GCD of given numbers 636, 136, 230, 112 is 2
2. How to calculate the greatest common divisor of 636, 136, 230, 112?
We can find the highest common divisor of 636, 136, 230, 112 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 636, 136, 230, 112 i.e 2.
3. How can I use the GCD of 636, 136, 230, 112Calculator?
Out the numbers 636, 136, 230, 112 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.