Online GCD Calculator is useful to find the GCD of 738, 112, 859 quickly. Get the easiest ways to solve the greatest common divisor of 738, 112, 859 i.e 1 in different methods as follows.
Given Input numbers are 738, 112, 859
In the factoring method, we have to find the divisors of all numbers
Divisors of 738 :
The positive integer divisors of 738 that completely divides 738 are.
1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738
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 859 :
The positive integer divisors of 859 that completely divides 859 are.
1, 859
GCD of numbers is the greatest common divisor
So, the GCD (738, 112, 859) = 1.
Given numbers are 738, 112, 859
The list of prime factors of all numbers are
Prime factors of 738 are 2 x 3 x 3 x 41
Prime factors of 112 are 2 x 2 x 2 x 2 x 7
Prime factors of 859 are 859
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 738, 112, 859
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(738, 112) = 41328
GCD(738, 112) = ( 738 x 112 ) / 41328
= 738 / 112
= 738
Step2:
LCM(2, 859) = 1718
GCD(2, 859) = ( 2 x 859 ) / 1718
= 2 / 859
= 2
So, Greatest Common Divisor of 738, 112, 859 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 738, 112, 859
The greatest common divisor of numbers 738, 112, 859 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 738, 112, 859 is 1.
1. What is the GCD of 738, 112, 859?
GCD of given numbers 738, 112, 859 is 1
2. How to calculate the greatest common divisor of 738, 112, 859?
We can find the highest common divisor of 738, 112, 859 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 738, 112, 859 i.e 1.
3. How can I use the GCD of 738, 112, 859Calculator?
Out the numbers 738, 112, 859 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.