Online GCD Calculator is useful to find the GCD of 370, 908, 898, 112 quickly. Get the easiest ways to solve the greatest common divisor of 370, 908, 898, 112 i.e 2 in different methods as follows.
Given Input numbers are 370, 908, 898, 112
In the factoring method, we have to find the divisors of all numbers
Divisors of 370 :
The positive integer divisors of 370 that completely divides 370 are.
1, 2, 5, 10, 37, 74, 185, 370
Divisors of 908 :
The positive integer divisors of 908 that completely divides 908 are.
1, 2, 4, 227, 454, 908
Divisors of 898 :
The positive integer divisors of 898 that completely divides 898 are.
1, 2, 449, 898
Divisors of 112 :
The positive integer divisors of 112 that completely divides 112 are.
1, 2, 4, 7, 8, 14, 16, 28, 56, 112
GCD of numbers is the greatest common divisor
So, the GCD (370, 908, 898, 112) = 2.
Given numbers are 370, 908, 898, 112
The list of prime factors of all numbers are
Prime factors of 370 are 2 x 5 x 37
Prime factors of 908 are 2 x 2 x 227
Prime factors of 898 are 2 x 449
Prime factors of 112 are 2 x 2 x 2 x 2 x 7
The highest common occurrence is 21
Therefore, GCD of 370, 908, 898, 112 is 2.
Given numbers are 370, 908, 898, 112
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(370, 908) = 167980
GCD(370, 908) = ( 370 x 908 ) / 167980
= 370 / 908
= 370
Step2:
LCM(2, 898) = 898
GCD(2, 898) = ( 2 x 898 ) / 898
= 2 / 898
= 2
Step3:
LCM(2, 112) = 112
GCD(2, 112) = ( 2 x 112 ) / 112
= 2 / 112
= 2
So, Greatest Common Divisor of 370, 908, 898, 112 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 370, 908, 898, 112
The greatest common divisor of numbers 370, 908, 898, 112 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 370, 908, 898, 112 is 2.
1. What is the GCD of 370, 908, 898, 112?
GCD of given numbers 370, 908, 898, 112 is 2
2. How to calculate the greatest common divisor of 370, 908, 898, 112?
We can find the highest common divisor of 370, 908, 898, 112 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 370, 908, 898, 112 i.e 2.
3. How can I use the GCD of 370, 908, 898, 112Calculator?
Out the numbers 370, 908, 898, 112 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.