Online GCD Calculator is useful to find the GCD of 112, 902, 998, 555 quickly. Get the easiest ways to solve the greatest common divisor of 112, 902, 998, 555 i.e 1 in different methods as follows.
Given Input numbers are 112, 902, 998, 555
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 902 :
The positive integer divisors of 902 that completely divides 902 are.
1, 2, 11, 22, 41, 82, 451, 902
Divisors of 998 :
The positive integer divisors of 998 that completely divides 998 are.
1, 2, 499, 998
Divisors of 555 :
The positive integer divisors of 555 that completely divides 555 are.
1, 3, 5, 15, 37, 111, 185, 555
GCD of numbers is the greatest common divisor
So, the GCD (112, 902, 998, 555) = 1.
Given numbers are 112, 902, 998, 555
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 902 are 2 x 11 x 41
Prime factors of 998 are 2 x 499
Prime factors of 555 are 3 x 5 x 37
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 112, 902, 998, 555
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(112, 902) = 50512
GCD(112, 902) = ( 112 x 902 ) / 50512
= 112 / 902
= 112
Step2:
LCM(2, 998) = 998
GCD(2, 998) = ( 2 x 998 ) / 998
= 2 / 998
= 2
Step3:
LCM(2, 555) = 1110
GCD(2, 555) = ( 2 x 555 ) / 1110
= 2 / 555
= 2
So, Greatest Common Divisor of 112, 902, 998, 555 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 112, 902, 998, 555
The greatest common divisor of numbers 112, 902, 998, 555 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 112, 902, 998, 555 is 1.
1. What is the GCD of 112, 902, 998, 555?
GCD of given numbers 112, 902, 998, 555 is 1
2. How to calculate the greatest common divisor of 112, 902, 998, 555?
We can find the highest common divisor of 112, 902, 998, 555 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, 902, 998, 555 i.e 1.
3. How can I use the GCD of 112, 902, 998, 555Calculator?
Out the numbers 112, 902, 998, 555 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.