Online GCD Calculator is useful to find the GCD of 320, 668, 746 quickly. Get the easiest ways to solve the greatest common divisor of 320, 668, 746 i.e 2 in different methods as follows.
Given Input numbers are 320, 668, 746
In the factoring method, we have to find the divisors of all numbers
Divisors of 320 :
The positive integer divisors of 320 that completely divides 320 are.
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320
Divisors of 668 :
The positive integer divisors of 668 that completely divides 668 are.
1, 2, 4, 167, 334, 668
Divisors of 746 :
The positive integer divisors of 746 that completely divides 746 are.
1, 2, 373, 746
GCD of numbers is the greatest common divisor
So, the GCD (320, 668, 746) = 2.
Given numbers are 320, 668, 746
The list of prime factors of all numbers are
Prime factors of 320 are 2 x 2 x 2 x 2 x 2 x 2 x 5
Prime factors of 668 are 2 x 2 x 167
Prime factors of 746 are 2 x 373
The highest common occurrence is 21
Therefore, GCD of 320, 668, 746 is 2.
Given numbers are 320, 668, 746
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(320, 668) = 53440
GCD(320, 668) = ( 320 x 668 ) / 53440
= 320 / 668
= 320
Step2:
LCM(4, 746) = 1492
GCD(4, 746) = ( 4 x 746 ) / 1492
= 4 / 746
= 4
So, Greatest Common Divisor of 320, 668, 746 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 320, 668, 746
The greatest common divisor of numbers 320, 668, 746 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 320, 668, 746 is 2.
1. What is the GCD of 320, 668, 746?
GCD of given numbers 320, 668, 746 is 2
2. How to calculate the greatest common divisor of 320, 668, 746?
We can find the highest common divisor of 320, 668, 746 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 320, 668, 746 i.e 2.
3. How can I use the GCD of 320, 668, 746Calculator?
Out the numbers 320, 668, 746 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.