Online GCD Calculator is useful to find the GCD of 162, 586, 109 quickly. Get the easiest ways to solve the greatest common divisor of 162, 586, 109 i.e 1 in different methods as follows.
Given Input numbers are 162, 586, 109
In the factoring method, we have to find the divisors of all numbers
Divisors of 162 :
The positive integer divisors of 162 that completely divides 162 are.
1, 2, 3, 6, 9, 18, 27, 54, 81, 162
Divisors of 586 :
The positive integer divisors of 586 that completely divides 586 are.
1, 2, 293, 586
Divisors of 109 :
The positive integer divisors of 109 that completely divides 109 are.
1, 109
GCD of numbers is the greatest common divisor
So, the GCD (162, 586, 109) = 1.
Given numbers are 162, 586, 109
The list of prime factors of all numbers are
Prime factors of 162 are 2 x 3 x 3 x 3 x 3
Prime factors of 586 are 2 x 293
Prime factors of 109 are 109
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 162, 586, 109
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(162, 586) = 47466
GCD(162, 586) = ( 162 x 586 ) / 47466
= 162 / 586
= 162
Step2:
LCM(2, 109) = 218
GCD(2, 109) = ( 2 x 109 ) / 218
= 2 / 109
= 2
So, Greatest Common Divisor of 162, 586, 109 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 162, 586, 109
The greatest common divisor of numbers 162, 586, 109 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 162, 586, 109 is 1.
1. What is the GCD of 162, 586, 109?
GCD of given numbers 162, 586, 109 is 1
2. How to calculate the greatest common divisor of 162, 586, 109?
We can find the highest common divisor of 162, 586, 109 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 162, 586, 109 i.e 1.
3. How can I use the GCD of 162, 586, 109Calculator?
Out the numbers 162, 586, 109 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.