Online GCD Calculator is useful to find the GCD of 809, 784, 689, 745 quickly. Get the easiest ways to solve the greatest common divisor of 809, 784, 689, 745 i.e 1 in different methods as follows.
Given Input numbers are 809, 784, 689, 745
In the factoring method, we have to find the divisors of all numbers
Divisors of 809 :
The positive integer divisors of 809 that completely divides 809 are.
1, 809
Divisors of 784 :
The positive integer divisors of 784 that completely divides 784 are.
1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784
Divisors of 689 :
The positive integer divisors of 689 that completely divides 689 are.
1, 13, 53, 689
Divisors of 745 :
The positive integer divisors of 745 that completely divides 745 are.
1, 5, 149, 745
GCD of numbers is the greatest common divisor
So, the GCD (809, 784, 689, 745) = 1.
Given numbers are 809, 784, 689, 745
The list of prime factors of all numbers are
Prime factors of 809 are 809
Prime factors of 784 are 2 x 2 x 2 x 2 x 7 x 7
Prime factors of 689 are 13 x 53
Prime factors of 745 are 5 x 149
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 809, 784, 689, 745
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(809, 784) = 634256
GCD(809, 784) = ( 809 x 784 ) / 634256
= 809 / 784
= 809
Step2:
LCM(1, 689) = 689
GCD(1, 689) = ( 1 x 689 ) / 689
= 1 / 689
= 1
Step3:
LCM(1, 745) = 745
GCD(1, 745) = ( 1 x 745 ) / 745
= 1 / 745
= 1
So, Greatest Common Divisor of 809, 784, 689, 745 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 809, 784, 689, 745
The greatest common divisor of numbers 809, 784, 689, 745 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 809, 784, 689, 745 is 1.
1. What is the GCD of 809, 784, 689, 745?
GCD of given numbers 809, 784, 689, 745 is 1
2. How to calculate the greatest common divisor of 809, 784, 689, 745?
We can find the highest common divisor of 809, 784, 689, 745 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 809, 784, 689, 745 i.e 1.
3. How can I use the GCD of 809, 784, 689, 745Calculator?
Out the numbers 809, 784, 689, 745 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.