Online GCD Calculator is useful to find the GCD of 748, 306, 704 quickly. Get the easiest ways to solve the greatest common divisor of 748, 306, 704 i.e 2 in different methods as follows.
Given Input numbers are 748, 306, 704
In the factoring method, we have to find the divisors of all numbers
Divisors of 748 :
The positive integer divisors of 748 that completely divides 748 are.
1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
Divisors of 306 :
The positive integer divisors of 306 that completely divides 306 are.
1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306
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 (748, 306, 704) = 2.
Given numbers are 748, 306, 704
The list of prime factors of all numbers are
Prime factors of 748 are 2 x 2 x 11 x 17
Prime factors of 306 are 2 x 3 x 3 x 17
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 748, 306, 704 is 2.
Given numbers are 748, 306, 704
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(748, 306) = 6732
GCD(748, 306) = ( 748 x 306 ) / 6732
= 748 / 306
= 748
Step2:
LCM(34, 704) = 11968
GCD(34, 704) = ( 34 x 704 ) / 11968
= 34 / 704
= 34
So, Greatest Common Divisor of 748, 306, 704 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 748, 306, 704
The greatest common divisor of numbers 748, 306, 704 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 748, 306, 704 is 2.
1. What is the GCD of 748, 306, 704?
GCD of given numbers 748, 306, 704 is 2
2. How to calculate the greatest common divisor of 748, 306, 704?
We can find the highest common divisor of 748, 306, 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 748, 306, 704 i.e 2.
3. How can I use the GCD of 748, 306, 704Calculator?
Out the numbers 748, 306, 704 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.