Online GCD Calculator is useful to find the GCD of 166, 434, 650, 864 quickly. Get the easiest ways to solve the greatest common divisor of 166, 434, 650, 864 i.e 2 in different methods as follows.
Given Input numbers are 166, 434, 650, 864
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 434 :
The positive integer divisors of 434 that completely divides 434 are.
1, 2, 7, 14, 31, 62, 217, 434
Divisors of 650 :
The positive integer divisors of 650 that completely divides 650 are.
1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650
Divisors of 864 :
The positive integer divisors of 864 that completely divides 864 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864
GCD of numbers is the greatest common divisor
So, the GCD (166, 434, 650, 864) = 2.
Given numbers are 166, 434, 650, 864
The list of prime factors of all numbers are
Prime factors of 166 are 2 x 83
Prime factors of 434 are 2 x 7 x 31
Prime factors of 650 are 2 x 5 x 5 x 13
Prime factors of 864 are 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3
The highest common occurrence is 21
Therefore, GCD of 166, 434, 650, 864 is 2.
Given numbers are 166, 434, 650, 864
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(166, 434) = 36022
GCD(166, 434) = ( 166 x 434 ) / 36022
= 166 / 434
= 166
Step2:
LCM(2, 650) = 650
GCD(2, 650) = ( 2 x 650 ) / 650
= 2 / 650
= 2
Step3:
LCM(2, 864) = 864
GCD(2, 864) = ( 2 x 864 ) / 864
= 2 / 864
= 2
So, Greatest Common Divisor of 166, 434, 650, 864 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 166, 434, 650, 864
The greatest common divisor of numbers 166, 434, 650, 864 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 166, 434, 650, 864 is 2.
1. What is the GCD of 166, 434, 650, 864?
GCD of given numbers 166, 434, 650, 864 is 2
2. How to calculate the greatest common divisor of 166, 434, 650, 864?
We can find the highest common divisor of 166, 434, 650, 864 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, 434, 650, 864 i.e 2.
3. How can I use the GCD of 166, 434, 650, 864Calculator?
Out the numbers 166, 434, 650, 864 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.