Online GCD Calculator is useful to find the GCD of 298, 112, 559, 238 quickly. Get the easiest ways to solve the greatest common divisor of 298, 112, 559, 238 i.e 1 in different methods as follows.
Given Input numbers are 298, 112, 559, 238
In the factoring method, we have to find the divisors of all numbers
Divisors of 298 :
The positive integer divisors of 298 that completely divides 298 are.
1, 2, 149, 298
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 559 :
The positive integer divisors of 559 that completely divides 559 are.
1, 13, 43, 559
Divisors of 238 :
The positive integer divisors of 238 that completely divides 238 are.
1, 2, 7, 14, 17, 34, 119, 238
GCD of numbers is the greatest common divisor
So, the GCD (298, 112, 559, 238) = 1.
Given numbers are 298, 112, 559, 238
The list of prime factors of all numbers are
Prime factors of 298 are 2 x 149
Prime factors of 112 are 2 x 2 x 2 x 2 x 7
Prime factors of 559 are 13 x 43
Prime factors of 238 are 2 x 7 x 17
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 298, 112, 559, 238
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(298, 112) = 16688
GCD(298, 112) = ( 298 x 112 ) / 16688
= 298 / 112
= 298
Step2:
LCM(2, 559) = 1118
GCD(2, 559) = ( 2 x 559 ) / 1118
= 2 / 559
= 2
Step3:
LCM(1, 238) = 238
GCD(1, 238) = ( 1 x 238 ) / 238
= 1 / 238
= 1
So, Greatest Common Divisor of 298, 112, 559, 238 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 298, 112, 559, 238
The greatest common divisor of numbers 298, 112, 559, 238 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 298, 112, 559, 238 is 1.
1. What is the GCD of 298, 112, 559, 238?
GCD of given numbers 298, 112, 559, 238 is 1
2. How to calculate the greatest common divisor of 298, 112, 559, 238?
We can find the highest common divisor of 298, 112, 559, 238 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 298, 112, 559, 238 i.e 1.
3. How can I use the GCD of 298, 112, 559, 238Calculator?
Out the numbers 298, 112, 559, 238 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.