Online GCD Calculator is useful to find the GCD of 674, 112, 164 quickly. Get the easiest ways to solve the greatest common divisor of 674, 112, 164 i.e 2 in different methods as follows.
Given Input numbers are 674, 112, 164
In the factoring method, we have to find the divisors of all numbers
Divisors of 674 :
The positive integer divisors of 674 that completely divides 674 are.
1, 2, 337, 674
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 164 :
The positive integer divisors of 164 that completely divides 164 are.
1, 2, 4, 41, 82, 164
GCD of numbers is the greatest common divisor
So, the GCD (674, 112, 164) = 2.
Given numbers are 674, 112, 164
The list of prime factors of all numbers are
Prime factors of 674 are 2 x 337
Prime factors of 112 are 2 x 2 x 2 x 2 x 7
Prime factors of 164 are 2 x 2 x 41
The highest common occurrence is 21
Therefore, GCD of 674, 112, 164 is 2.
Given numbers are 674, 112, 164
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(674, 112) = 37744
GCD(674, 112) = ( 674 x 112 ) / 37744
= 674 / 112
= 674
Step2:
LCM(2, 164) = 164
GCD(2, 164) = ( 2 x 164 ) / 164
= 2 / 164
= 2
So, Greatest Common Divisor of 674, 112, 164 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 674, 112, 164
The greatest common divisor of numbers 674, 112, 164 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 674, 112, 164 is 2.
1. What is the GCD of 674, 112, 164?
GCD of given numbers 674, 112, 164 is 2
2. How to calculate the greatest common divisor of 674, 112, 164?
We can find the highest common divisor of 674, 112, 164 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 674, 112, 164 i.e 2.
3. How can I use the GCD of 674, 112, 164Calculator?
Out the numbers 674, 112, 164 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.