Online GCD Calculator is useful to find the GCD of 112, 159, 118, 208 quickly. Get the easiest ways to solve the greatest common divisor of 112, 159, 118, 208 i.e 1 in different methods as follows.
Given Input numbers are 112, 159, 118, 208
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 159 :
The positive integer divisors of 159 that completely divides 159 are.
1, 3, 53, 159
Divisors of 118 :
The positive integer divisors of 118 that completely divides 118 are.
1, 2, 59, 118
Divisors of 208 :
The positive integer divisors of 208 that completely divides 208 are.
1, 2, 4, 8, 13, 16, 26, 52, 104, 208
GCD of numbers is the greatest common divisor
So, the GCD (112, 159, 118, 208) = 1.
Given numbers are 112, 159, 118, 208
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 159 are 3 x 53
Prime factors of 118 are 2 x 59
Prime factors of 208 are 2 x 2 x 2 x 2 x 13
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 112, 159, 118, 208
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(112, 159) = 17808
GCD(112, 159) = ( 112 x 159 ) / 17808
= 112 / 159
= 112
Step2:
LCM(1, 118) = 118
GCD(1, 118) = ( 1 x 118 ) / 118
= 1 / 118
= 1
Step3:
LCM(1, 208) = 208
GCD(1, 208) = ( 1 x 208 ) / 208
= 1 / 208
= 1
So, Greatest Common Divisor of 112, 159, 118, 208 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 112, 159, 118, 208
The greatest common divisor of numbers 112, 159, 118, 208 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 112, 159, 118, 208 is 1.
1. What is the GCD of 112, 159, 118, 208?
GCD of given numbers 112, 159, 118, 208 is 1
2. How to calculate the greatest common divisor of 112, 159, 118, 208?
We can find the highest common divisor of 112, 159, 118, 208 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, 159, 118, 208 i.e 1.
3. How can I use the GCD of 112, 159, 118, 208Calculator?
Out the numbers 112, 159, 118, 208 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.