Online GCD Calculator is useful to find the GCD of 450, 728, 364, 793 quickly. Get the easiest ways to solve the greatest common divisor of 450, 728, 364, 793 i.e 1 in different methods as follows.
Given Input numbers are 450, 728, 364, 793
In the factoring method, we have to find the divisors of all numbers
Divisors of 450 :
The positive integer divisors of 450 that completely divides 450 are.
1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450
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 364 :
The positive integer divisors of 364 that completely divides 364 are.
1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
Divisors of 793 :
The positive integer divisors of 793 that completely divides 793 are.
1, 13, 61, 793
GCD of numbers is the greatest common divisor
So, the GCD (450, 728, 364, 793) = 1.
Given numbers are 450, 728, 364, 793
The list of prime factors of all numbers are
Prime factors of 450 are 2 x 3 x 3 x 5 x 5
Prime factors of 728 are 2 x 2 x 2 x 7 x 13
Prime factors of 364 are 2 x 2 x 7 x 13
Prime factors of 793 are 13 x 61
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 450, 728, 364, 793
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(450, 728) = 163800
GCD(450, 728) = ( 450 x 728 ) / 163800
= 450 / 728
= 450
Step2:
LCM(2, 364) = 364
GCD(2, 364) = ( 2 x 364 ) / 364
= 2 / 364
= 2
Step3:
LCM(2, 793) = 1586
GCD(2, 793) = ( 2 x 793 ) / 1586
= 2 / 793
= 2
So, Greatest Common Divisor of 450, 728, 364, 793 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 450, 728, 364, 793
The greatest common divisor of numbers 450, 728, 364, 793 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 450, 728, 364, 793 is 1.
1. What is the GCD of 450, 728, 364, 793?
GCD of given numbers 450, 728, 364, 793 is 1
2. How to calculate the greatest common divisor of 450, 728, 364, 793?
We can find the highest common divisor of 450, 728, 364, 793 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 450, 728, 364, 793 i.e 1.
3. How can I use the GCD of 450, 728, 364, 793Calculator?
Out the numbers 450, 728, 364, 793 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.