Online GCD Calculator is useful to find the GCD of 136, 102, 908, 180 quickly. Get the easiest ways to solve the greatest common divisor of 136, 102, 908, 180 i.e 2 in different methods as follows.
Given Input numbers are 136, 102, 908, 180
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 102 :
The positive integer divisors of 102 that completely divides 102 are.
1, 2, 3, 6, 17, 34, 51, 102
Divisors of 908 :
The positive integer divisors of 908 that completely divides 908 are.
1, 2, 4, 227, 454, 908
Divisors of 180 :
The positive integer divisors of 180 that completely divides 180 are.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
GCD of numbers is the greatest common divisor
So, the GCD (136, 102, 908, 180) = 2.
Given numbers are 136, 102, 908, 180
The list of prime factors of all numbers are
Prime factors of 136 are 2 x 2 x 2 x 17
Prime factors of 102 are 2 x 3 x 17
Prime factors of 908 are 2 x 2 x 227
Prime factors of 180 are 2 x 2 x 3 x 3 x 5
The highest common occurrence is 21
Therefore, GCD of 136, 102, 908, 180 is 2.
Given numbers are 136, 102, 908, 180
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(136, 102) = 408
GCD(136, 102) = ( 136 x 102 ) / 408
= 136 / 102
= 136
Step2:
LCM(34, 908) = 15436
GCD(34, 908) = ( 34 x 908 ) / 15436
= 34 / 908
= 34
Step3:
LCM(2, 180) = 180
GCD(2, 180) = ( 2 x 180 ) / 180
= 2 / 180
= 2
So, Greatest Common Divisor of 136, 102, 908, 180 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 136, 102, 908, 180
The greatest common divisor of numbers 136, 102, 908, 180 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 136, 102, 908, 180 is 2.
1. What is the GCD of 136, 102, 908, 180?
GCD of given numbers 136, 102, 908, 180 is 2
2. How to calculate the greatest common divisor of 136, 102, 908, 180?
We can find the highest common divisor of 136, 102, 908, 180 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, 102, 908, 180 i.e 2.
3. How can I use the GCD of 136, 102, 908, 180Calculator?
Out the numbers 136, 102, 908, 180 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.