Online GCD Calculator is useful to find the GCD of 109, 416, 166, 133 quickly. Get the easiest ways to solve the greatest common divisor of 109, 416, 166, 133 i.e 1 in different methods as follows.
Given Input numbers are 109, 416, 166, 133
In the factoring method, we have to find the divisors of all numbers
Divisors of 109 :
The positive integer divisors of 109 that completely divides 109 are.
1, 109
Divisors of 416 :
The positive integer divisors of 416 that completely divides 416 are.
1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
Divisors of 166 :
The positive integer divisors of 166 that completely divides 166 are.
1, 2, 83, 166
Divisors of 133 :
The positive integer divisors of 133 that completely divides 133 are.
1, 7, 19, 133
GCD of numbers is the greatest common divisor
So, the GCD (109, 416, 166, 133) = 1.
Given numbers are 109, 416, 166, 133
The list of prime factors of all numbers are
Prime factors of 109 are 109
Prime factors of 416 are 2 x 2 x 2 x 2 x 2 x 13
Prime factors of 166 are 2 x 83
Prime factors of 133 are 7 x 19
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 109, 416, 166, 133
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(109, 416) = 45344
GCD(109, 416) = ( 109 x 416 ) / 45344
= 109 / 416
= 109
Step2:
LCM(1, 166) = 166
GCD(1, 166) = ( 1 x 166 ) / 166
= 1 / 166
= 1
Step3:
LCM(1, 133) = 133
GCD(1, 133) = ( 1 x 133 ) / 133
= 1 / 133
= 1
So, Greatest Common Divisor of 109, 416, 166, 133 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 109, 416, 166, 133
The greatest common divisor of numbers 109, 416, 166, 133 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 109, 416, 166, 133 is 1.
1. What is the GCD of 109, 416, 166, 133?
GCD of given numbers 109, 416, 166, 133 is 1
2. How to calculate the greatest common divisor of 109, 416, 166, 133?
We can find the highest common divisor of 109, 416, 166, 133 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 109, 416, 166, 133 i.e 1.
3. How can I use the GCD of 109, 416, 166, 133Calculator?
Out the numbers 109, 416, 166, 133 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.