Online GCD Calculator is useful to find the GCD of 112, 556, 338, 345 quickly. Get the easiest ways to solve the greatest common divisor of 112, 556, 338, 345 i.e 1 in different methods as follows.
Given Input numbers are 112, 556, 338, 345
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 556 :
The positive integer divisors of 556 that completely divides 556 are.
1, 2, 4, 139, 278, 556
Divisors of 338 :
The positive integer divisors of 338 that completely divides 338 are.
1, 2, 13, 26, 169, 338
Divisors of 345 :
The positive integer divisors of 345 that completely divides 345 are.
1, 3, 5, 15, 23, 69, 115, 345
GCD of numbers is the greatest common divisor
So, the GCD (112, 556, 338, 345) = 1.
Given numbers are 112, 556, 338, 345
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 556 are 2 x 2 x 139
Prime factors of 338 are 2 x 13 x 13
Prime factors of 345 are 3 x 5 x 23
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 112, 556, 338, 345
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(112, 556) = 15568
GCD(112, 556) = ( 112 x 556 ) / 15568
= 112 / 556
= 112
Step2:
LCM(4, 338) = 676
GCD(4, 338) = ( 4 x 338 ) / 676
= 4 / 338
= 4
Step3:
LCM(2, 345) = 690
GCD(2, 345) = ( 2 x 345 ) / 690
= 2 / 345
= 2
So, Greatest Common Divisor of 112, 556, 338, 345 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 112, 556, 338, 345
The greatest common divisor of numbers 112, 556, 338, 345 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 112, 556, 338, 345 is 1.
1. What is the GCD of 112, 556, 338, 345?
GCD of given numbers 112, 556, 338, 345 is 1
2. How to calculate the greatest common divisor of 112, 556, 338, 345?
We can find the highest common divisor of 112, 556, 338, 345 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, 556, 338, 345 i.e 1.
3. How can I use the GCD of 112, 556, 338, 345Calculator?
Out the numbers 112, 556, 338, 345 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.