Online GCD Calculator is useful to find the GCD of 561, 590, 112 quickly. Get the easiest ways to solve the greatest common divisor of 561, 590, 112 i.e 1 in different methods as follows.
Given Input numbers are 561, 590, 112
In the factoring method, we have to find the divisors of all numbers
Divisors of 561 :
The positive integer divisors of 561 that completely divides 561 are.
1, 3, 11, 17, 33, 51, 187, 561
Divisors of 590 :
The positive integer divisors of 590 that completely divides 590 are.
1, 2, 5, 10, 59, 118, 295, 590
Divisors of 112 :
The positive integer divisors of 112 that completely divides 112 are.
1, 2, 4, 7, 8, 14, 16, 28, 56, 112
GCD of numbers is the greatest common divisor
So, the GCD (561, 590, 112) = 1.
Given numbers are 561, 590, 112
The list of prime factors of all numbers are
Prime factors of 561 are 3 x 11 x 17
Prime factors of 590 are 2 x 5 x 59
Prime factors of 112 are 2 x 2 x 2 x 2 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 561, 590, 112
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(561, 590) = 330990
GCD(561, 590) = ( 561 x 590 ) / 330990
= 561 / 590
= 561
Step2:
LCM(1, 112) = 112
GCD(1, 112) = ( 1 x 112 ) / 112
= 1 / 112
= 1
So, Greatest Common Divisor of 561, 590, 112 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 561, 590, 112
The greatest common divisor of numbers 561, 590, 112 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 561, 590, 112 is 1.
1. What is the GCD of 561, 590, 112?
GCD of given numbers 561, 590, 112 is 1
2. How to calculate the greatest common divisor of 561, 590, 112?
We can find the highest common divisor of 561, 590, 112 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 561, 590, 112 i.e 1.
3. How can I use the GCD of 561, 590, 112Calculator?
Out the numbers 561, 590, 112 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.