Online GCD Calculator is useful to find the GCD of 728, 756, 431, 910 quickly. Get the easiest ways to solve the greatest common divisor of 728, 756, 431, 910 i.e 1 in different methods as follows.
Given Input numbers are 728, 756, 431, 910
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 756 :
The positive integer divisors of 756 that completely divides 756 are.
1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
Divisors of 431 :
The positive integer divisors of 431 that completely divides 431 are.
1, 431
Divisors of 910 :
The positive integer divisors of 910 that completely divides 910 are.
1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910
GCD of numbers is the greatest common divisor
So, the GCD (728, 756, 431, 910) = 1.
Given numbers are 728, 756, 431, 910
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 756 are 2 x 2 x 3 x 3 x 3 x 7
Prime factors of 431 are 431
Prime factors of 910 are 2 x 5 x 7 x 13
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 728, 756, 431, 910
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(728, 756) = 19656
GCD(728, 756) = ( 728 x 756 ) / 19656
= 728 / 756
= 728
Step2:
LCM(28, 431) = 12068
GCD(28, 431) = ( 28 x 431 ) / 12068
= 28 / 431
= 28
Step3:
LCM(1, 910) = 910
GCD(1, 910) = ( 1 x 910 ) / 910
= 1 / 910
= 1
So, Greatest Common Divisor of 728, 756, 431, 910 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 728, 756, 431, 910
The greatest common divisor of numbers 728, 756, 431, 910 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 728, 756, 431, 910 is 1.
1. What is the GCD of 728, 756, 431, 910?
GCD of given numbers 728, 756, 431, 910 is 1
2. How to calculate the greatest common divisor of 728, 756, 431, 910?
We can find the highest common divisor of 728, 756, 431, 910 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, 756, 431, 910 i.e 1.
3. How can I use the GCD of 728, 756, 431, 910Calculator?
Out the numbers 728, 756, 431, 910 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.