Online GCD Calculator is useful to find the GCD of 738, 472, 506, 256 quickly. Get the easiest ways to solve the greatest common divisor of 738, 472, 506, 256 i.e 2 in different methods as follows.
Given Input numbers are 738, 472, 506, 256
In the factoring method, we have to find the divisors of all numbers
Divisors of 738 :
The positive integer divisors of 738 that completely divides 738 are.
1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738
Divisors of 472 :
The positive integer divisors of 472 that completely divides 472 are.
1, 2, 4, 8, 59, 118, 236, 472
Divisors of 506 :
The positive integer divisors of 506 that completely divides 506 are.
1, 2, 11, 22, 23, 46, 253, 506
Divisors of 256 :
The positive integer divisors of 256 that completely divides 256 are.
1, 2, 4, 8, 16, 32, 64, 128, 256
GCD of numbers is the greatest common divisor
So, the GCD (738, 472, 506, 256) = 2.
Given numbers are 738, 472, 506, 256
The list of prime factors of all numbers are
Prime factors of 738 are 2 x 3 x 3 x 41
Prime factors of 472 are 2 x 2 x 2 x 59
Prime factors of 506 are 2 x 11 x 23
Prime factors of 256 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2
The highest common occurrence is 21
Therefore, GCD of 738, 472, 506, 256 is 2.
Given numbers are 738, 472, 506, 256
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(738, 472) = 174168
GCD(738, 472) = ( 738 x 472 ) / 174168
= 738 / 472
= 738
Step2:
LCM(2, 506) = 506
GCD(2, 506) = ( 2 x 506 ) / 506
= 2 / 506
= 2
Step3:
LCM(2, 256) = 256
GCD(2, 256) = ( 2 x 256 ) / 256
= 2 / 256
= 2
So, Greatest Common Divisor of 738, 472, 506, 256 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 738, 472, 506, 256
The greatest common divisor of numbers 738, 472, 506, 256 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 738, 472, 506, 256 is 2.
1. What is the GCD of 738, 472, 506, 256?
GCD of given numbers 738, 472, 506, 256 is 2
2. How to calculate the greatest common divisor of 738, 472, 506, 256?
We can find the highest common divisor of 738, 472, 506, 256 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 738, 472, 506, 256 i.e 2.
3. How can I use the GCD of 738, 472, 506, 256Calculator?
Out the numbers 738, 472, 506, 256 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.