Online GCD Calculator is useful to find the GCD of 302, 704, 18 quickly. Get the easiest ways to solve the greatest common divisor of 302, 704, 18 i.e 2 in different methods as follows.
Given Input numbers are 302, 704, 18
In the factoring method, we have to find the divisors of all numbers
Divisors of 302 :
The positive integer divisors of 302 that completely divides 302 are.
1, 2, 151, 302
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
Divisors of 18 :
The positive integer divisors of 18 that completely divides 18 are.
1, 2, 3, 6, 9, 18
GCD of numbers is the greatest common divisor
So, the GCD (302, 704, 18) = 2.
Given numbers are 302, 704, 18
The list of prime factors of all numbers are
Prime factors of 302 are 2 x 151
Prime factors of 704 are 2 x 2 x 2 x 2 x 2 x 2 x 11
Prime factors of 18 are 2 x 3 x 3
The highest common occurrence is 21
Therefore, GCD of 302, 704, 18 is 2.
Given numbers are 302, 704, 18
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(302, 704) = 106304
GCD(302, 704) = ( 302 x 704 ) / 106304
= 302 / 704
= 302
Step2:
LCM(2, 18) = 18
GCD(2, 18) = ( 2 x 18 ) / 18
= 2 / 18
= 2
So, Greatest Common Divisor of 302, 704, 18 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 302, 704, 18
The greatest common divisor of numbers 302, 704, 18 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 302, 704, 18 is 2.
1. What is the GCD of 302, 704, 18?
GCD of given numbers 302, 704, 18 is 2
2. How to calculate the greatest common divisor of 302, 704, 18?
We can find the highest common divisor of 302, 704, 18 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 302, 704, 18 i.e 2.
3. How can I use the GCD of 302, 704, 18Calculator?
Out the numbers 302, 704, 18 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.