Online GCD Calculator is useful to find the GCD of 728, 750, 512, 721 quickly. Get the easiest ways to solve the greatest common divisor of 728, 750, 512, 721 i.e 1 in different methods as follows.
Given Input numbers are 728, 750, 512, 721
In the factoring method, we have to find the divisors of all numbers
Divisors of 728 :
The positive integer divisors of 728 that completely divides 728 are.
1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
Divisors of 750 :
The positive integer divisors of 750 that completely divides 750 are.
1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750
Divisors of 512 :
The positive integer divisors of 512 that completely divides 512 are.
1, 2, 4, 8, 16, 32, 64, 128, 256, 512
Divisors of 721 :
The positive integer divisors of 721 that completely divides 721 are.
1, 7, 103, 721
GCD of numbers is the greatest common divisor
So, the GCD (728, 750, 512, 721) = 1.
Given numbers are 728, 750, 512, 721
The list of prime factors of all numbers are
Prime factors of 728 are 2 x 2 x 2 x 7 x 13
Prime factors of 750 are 2 x 3 x 5 x 5 x 5
Prime factors of 512 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2
Prime factors of 721 are 7 x 103
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 728, 750, 512, 721
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(728, 750) = 273000
GCD(728, 750) = ( 728 x 750 ) / 273000
= 728 / 750
= 728
Step2:
LCM(2, 512) = 512
GCD(2, 512) = ( 2 x 512 ) / 512
= 2 / 512
= 2
Step3:
LCM(2, 721) = 1442
GCD(2, 721) = ( 2 x 721 ) / 1442
= 2 / 721
= 2
So, Greatest Common Divisor of 728, 750, 512, 721 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 728, 750, 512, 721
The greatest common divisor of numbers 728, 750, 512, 721 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 728, 750, 512, 721 is 1.
1. What is the GCD of 728, 750, 512, 721?
GCD of given numbers 728, 750, 512, 721 is 1
2. How to calculate the greatest common divisor of 728, 750, 512, 721?
We can find the highest common divisor of 728, 750, 512, 721 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 728, 750, 512, 721 i.e 1.
3. How can I use the GCD of 728, 750, 512, 721Calculator?
Out the numbers 728, 750, 512, 721 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.