Online GCD Calculator is useful to find the GCD of 166, 214, 728, 650 quickly. Get the easiest ways to solve the greatest common divisor of 166, 214, 728, 650 i.e 2 in different methods as follows.
Given Input numbers are 166, 214, 728, 650
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 214 :
The positive integer divisors of 214 that completely divides 214 are.
1, 2, 107, 214
Divisors of 728 :
The positive integer divisors of 728 that completely divides 728 are.
1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
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
GCD of numbers is the greatest common divisor
So, the GCD (166, 214, 728, 650) = 2.
Given numbers are 166, 214, 728, 650
The list of prime factors of all numbers are
Prime factors of 166 are 2 x 83
Prime factors of 214 are 2 x 107
Prime factors of 728 are 2 x 2 x 2 x 7 x 13
Prime factors of 650 are 2 x 5 x 5 x 13
The highest common occurrence is 21
Therefore, GCD of 166, 214, 728, 650 is 2.
Given numbers are 166, 214, 728, 650
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(166, 214) = 17762
GCD(166, 214) = ( 166 x 214 ) / 17762
= 166 / 214
= 166
Step2:
LCM(2, 728) = 728
GCD(2, 728) = ( 2 x 728 ) / 728
= 2 / 728
= 2
Step3:
LCM(2, 650) = 650
GCD(2, 650) = ( 2 x 650 ) / 650
= 2 / 650
= 2
So, Greatest Common Divisor of 166, 214, 728, 650 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 166, 214, 728, 650
The greatest common divisor of numbers 166, 214, 728, 650 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 166, 214, 728, 650 is 2.
1. What is the GCD of 166, 214, 728, 650?
GCD of given numbers 166, 214, 728, 650 is 2
2. How to calculate the greatest common divisor of 166, 214, 728, 650?
We can find the highest common divisor of 166, 214, 728, 650 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, 214, 728, 650 i.e 2.
3. How can I use the GCD of 166, 214, 728, 650Calculator?
Out the numbers 166, 214, 728, 650 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.