Online GCD Calculator is useful to find the GCD of 106, 112, 220, 589 quickly. Get the easiest ways to solve the greatest common divisor of 106, 112, 220, 589 i.e 1 in different methods as follows.
Given Input numbers are 106, 112, 220, 589
In the factoring method, we have to find the divisors of all numbers
Divisors of 106 :
The positive integer divisors of 106 that completely divides 106 are.
1, 2, 53, 106
Divisors of 112 :
The positive integer divisors of 112 that completely divides 112 are.
1, 2, 4, 7, 8, 14, 16, 28, 56, 112
Divisors of 220 :
The positive integer divisors of 220 that completely divides 220 are.
1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
Divisors of 589 :
The positive integer divisors of 589 that completely divides 589 are.
1, 19, 31, 589
GCD of numbers is the greatest common divisor
So, the GCD (106, 112, 220, 589) = 1.
Given numbers are 106, 112, 220, 589
The list of prime factors of all numbers are
Prime factors of 106 are 2 x 53
Prime factors of 112 are 2 x 2 x 2 x 2 x 7
Prime factors of 220 are 2 x 2 x 5 x 11
Prime factors of 589 are 19 x 31
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 106, 112, 220, 589
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(106, 112) = 5936
GCD(106, 112) = ( 106 x 112 ) / 5936
= 106 / 112
= 106
Step2:
LCM(2, 220) = 220
GCD(2, 220) = ( 2 x 220 ) / 220
= 2 / 220
= 2
Step3:
LCM(2, 589) = 1178
GCD(2, 589) = ( 2 x 589 ) / 1178
= 2 / 589
= 2
So, Greatest Common Divisor of 106, 112, 220, 589 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 106, 112, 220, 589
The greatest common divisor of numbers 106, 112, 220, 589 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 106, 112, 220, 589 is 1.
1. What is the GCD of 106, 112, 220, 589?
GCD of given numbers 106, 112, 220, 589 is 1
2. How to calculate the greatest common divisor of 106, 112, 220, 589?
We can find the highest common divisor of 106, 112, 220, 589 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 106, 112, 220, 589 i.e 1.
3. How can I use the GCD of 106, 112, 220, 589Calculator?
Out the numbers 106, 112, 220, 589 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.