Online GCD Calculator is useful to find the GCD of 730, 470, 744, 576 quickly. Get the easiest ways to solve the greatest common divisor of 730, 470, 744, 576 i.e 2 in different methods as follows.
Given Input numbers are 730, 470, 744, 576
In the factoring method, we have to find the divisors of all numbers
Divisors of 730 :
The positive integer divisors of 730 that completely divides 730 are.
1, 2, 5, 10, 73, 146, 365, 730
Divisors of 470 :
The positive integer divisors of 470 that completely divides 470 are.
1, 2, 5, 10, 47, 94, 235, 470
Divisors of 744 :
The positive integer divisors of 744 that completely divides 744 are.
1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744
Divisors of 576 :
The positive integer divisors of 576 that completely divides 576 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576
GCD of numbers is the greatest common divisor
So, the GCD (730, 470, 744, 576) = 2.
Given numbers are 730, 470, 744, 576
The list of prime factors of all numbers are
Prime factors of 730 are 2 x 5 x 73
Prime factors of 470 are 2 x 5 x 47
Prime factors of 744 are 2 x 2 x 2 x 3 x 31
Prime factors of 576 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3
The highest common occurrence is 21
Therefore, GCD of 730, 470, 744, 576 is 2.
Given numbers are 730, 470, 744, 576
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(730, 470) = 34310
GCD(730, 470) = ( 730 x 470 ) / 34310
= 730 / 470
= 730
Step2:
LCM(10, 744) = 3720
GCD(10, 744) = ( 10 x 744 ) / 3720
= 10 / 744
= 10
Step3:
LCM(2, 576) = 576
GCD(2, 576) = ( 2 x 576 ) / 576
= 2 / 576
= 2
So, Greatest Common Divisor of 730, 470, 744, 576 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 730, 470, 744, 576
The greatest common divisor of numbers 730, 470, 744, 576 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 730, 470, 744, 576 is 2.
1. What is the GCD of 730, 470, 744, 576?
GCD of given numbers 730, 470, 744, 576 is 2
2. How to calculate the greatest common divisor of 730, 470, 744, 576?
We can find the highest common divisor of 730, 470, 744, 576 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 730, 470, 744, 576 i.e 2.
3. How can I use the GCD of 730, 470, 744, 576Calculator?
Out the numbers 730, 470, 744, 576 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.