Online GCD Calculator is useful to find the GCD of 112, 468, 918, 589 quickly. Get the easiest ways to solve the greatest common divisor of 112, 468, 918, 589 i.e 1 in different methods as follows.
Given Input numbers are 112, 468, 918, 589
In the factoring method, we have to find the divisors of all numbers
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 468 :
The positive integer divisors of 468 that completely divides 468 are.
1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
Divisors of 918 :
The positive integer divisors of 918 that completely divides 918 are.
1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
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 (112, 468, 918, 589) = 1.
Given numbers are 112, 468, 918, 589
The list of prime factors of all numbers are
Prime factors of 112 are 2 x 2 x 2 x 2 x 7
Prime factors of 468 are 2 x 2 x 3 x 3 x 13
Prime factors of 918 are 2 x 3 x 3 x 3 x 17
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 112, 468, 918, 589
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(112, 468) = 13104
GCD(112, 468) = ( 112 x 468 ) / 13104
= 112 / 468
= 112
Step2:
LCM(4, 918) = 1836
GCD(4, 918) = ( 4 x 918 ) / 1836
= 4 / 918
= 4
Step3:
LCM(2, 589) = 1178
GCD(2, 589) = ( 2 x 589 ) / 1178
= 2 / 589
= 2
So, Greatest Common Divisor of 112, 468, 918, 589 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 112, 468, 918, 589
The greatest common divisor of numbers 112, 468, 918, 589 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 112, 468, 918, 589 is 1.
1. What is the GCD of 112, 468, 918, 589?
GCD of given numbers 112, 468, 918, 589 is 1
2. How to calculate the greatest common divisor of 112, 468, 918, 589?
We can find the highest common divisor of 112, 468, 918, 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 112, 468, 918, 589 i.e 1.
3. How can I use the GCD of 112, 468, 918, 589Calculator?
Out the numbers 112, 468, 918, 589 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.