Online GCD Calculator is useful to find the GCD of 728, 421, 423, 786 quickly. Get the easiest ways to solve the greatest common divisor of 728, 421, 423, 786 i.e 1 in different methods as follows.
Given Input numbers are 728, 421, 423, 786
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 421 :
The positive integer divisors of 421 that completely divides 421 are.
1, 421
Divisors of 423 :
The positive integer divisors of 423 that completely divides 423 are.
1, 3, 9, 47, 141, 423
Divisors of 786 :
The positive integer divisors of 786 that completely divides 786 are.
1, 2, 3, 6, 131, 262, 393, 786
GCD of numbers is the greatest common divisor
So, the GCD (728, 421, 423, 786) = 1.
Given numbers are 728, 421, 423, 786
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 421 are 421
Prime factors of 423 are 3 x 3 x 47
Prime factors of 786 are 2 x 3 x 131
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 728, 421, 423, 786
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(728, 421) = 306488
GCD(728, 421) = ( 728 x 421 ) / 306488
= 728 / 421
= 728
Step2:
LCM(1, 423) = 423
GCD(1, 423) = ( 1 x 423 ) / 423
= 1 / 423
= 1
Step3:
LCM(1, 786) = 786
GCD(1, 786) = ( 1 x 786 ) / 786
= 1 / 786
= 1
So, Greatest Common Divisor of 728, 421, 423, 786 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 728, 421, 423, 786
The greatest common divisor of numbers 728, 421, 423, 786 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 728, 421, 423, 786 is 1.
1. What is the GCD of 728, 421, 423, 786?
GCD of given numbers 728, 421, 423, 786 is 1
2. How to calculate the greatest common divisor of 728, 421, 423, 786?
We can find the highest common divisor of 728, 421, 423, 786 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, 421, 423, 786 i.e 1.
3. How can I use the GCD of 728, 421, 423, 786Calculator?
Out the numbers 728, 421, 423, 786 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.