Online GCD Calculator is useful to find the GCD of 166, 108, 712, 136 quickly. Get the easiest ways to solve the greatest common divisor of 166, 108, 712, 136 i.e 2 in different methods as follows.
Given Input numbers are 166, 108, 712, 136
In the factoring method, we have to find the divisors of all numbers
Divisors of 166 :
The positive integer divisors of 166 that completely divides 166 are.
1, 2, 83, 166
Divisors of 108 :
The positive integer divisors of 108 that completely divides 108 are.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
Divisors of 712 :
The positive integer divisors of 712 that completely divides 712 are.
1, 2, 4, 8, 89, 178, 356, 712
Divisors of 136 :
The positive integer divisors of 136 that completely divides 136 are.
1, 2, 4, 8, 17, 34, 68, 136
GCD of numbers is the greatest common divisor
So, the GCD (166, 108, 712, 136) = 2.
Given numbers are 166, 108, 712, 136
The list of prime factors of all numbers are
Prime factors of 166 are 2 x 83
Prime factors of 108 are 2 x 2 x 3 x 3 x 3
Prime factors of 712 are 2 x 2 x 2 x 89
Prime factors of 136 are 2 x 2 x 2 x 17
The highest common occurrence is 21
Therefore, GCD of 166, 108, 712, 136 is 2.
Given numbers are 166, 108, 712, 136
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(166, 108) = 8964
GCD(166, 108) = ( 166 x 108 ) / 8964
= 166 / 108
= 166
Step2:
LCM(2, 712) = 712
GCD(2, 712) = ( 2 x 712 ) / 712
= 2 / 712
= 2
Step3:
LCM(2, 136) = 136
GCD(2, 136) = ( 2 x 136 ) / 136
= 2 / 136
= 2
So, Greatest Common Divisor of 166, 108, 712, 136 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 166, 108, 712, 136
The greatest common divisor of numbers 166, 108, 712, 136 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 166, 108, 712, 136 is 2.
1. What is the GCD of 166, 108, 712, 136?
GCD of given numbers 166, 108, 712, 136 is 2
2. How to calculate the greatest common divisor of 166, 108, 712, 136?
We can find the highest common divisor of 166, 108, 712, 136 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 166, 108, 712, 136 i.e 2.
3. How can I use the GCD of 166, 108, 712, 136Calculator?
Out the numbers 166, 108, 712, 136 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.