Online GCD Calculator is useful to find the GCD of 446, 318, 704 quickly. Get the easiest ways to solve the greatest common divisor of 446, 318, 704 i.e 2 in different methods as follows.
Given Input numbers are 446, 318, 704
In the factoring method, we have to find the divisors of all numbers
Divisors of 446 :
The positive integer divisors of 446 that completely divides 446 are.
1, 2, 223, 446
Divisors of 318 :
The positive integer divisors of 318 that completely divides 318 are.
1, 2, 3, 6, 53, 106, 159, 318
Divisors of 704 :
The positive integer divisors of 704 that completely divides 704 are.
1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
GCD of numbers is the greatest common divisor
So, the GCD (446, 318, 704) = 2.
Given numbers are 446, 318, 704
The list of prime factors of all numbers are
Prime factors of 446 are 2 x 223
Prime factors of 318 are 2 x 3 x 53
Prime factors of 704 are 2 x 2 x 2 x 2 x 2 x 2 x 11
The highest common occurrence is 21
Therefore, GCD of 446, 318, 704 is 2.
Given numbers are 446, 318, 704
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(446, 318) = 70914
GCD(446, 318) = ( 446 x 318 ) / 70914
= 446 / 318
= 446
Step2:
LCM(2, 704) = 704
GCD(2, 704) = ( 2 x 704 ) / 704
= 2 / 704
= 2
So, Greatest Common Divisor of 446, 318, 704 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 446, 318, 704
The greatest common divisor of numbers 446, 318, 704 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 446, 318, 704 is 2.
1. What is the GCD of 446, 318, 704?
GCD of given numbers 446, 318, 704 is 2
2. How to calculate the greatest common divisor of 446, 318, 704?
We can find the highest common divisor of 446, 318, 704 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 446, 318, 704 i.e 2.
3. How can I use the GCD of 446, 318, 704Calculator?
Out the numbers 446, 318, 704 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.