Online GCD Calculator is useful to find the GCD of 160, 784, 809, 984 quickly. Get the easiest ways to solve the greatest common divisor of 160, 784, 809, 984 i.e 1 in different methods as follows.
Given Input numbers are 160, 784, 809, 984
In the factoring method, we have to find the divisors of all numbers
Divisors of 160 :
The positive integer divisors of 160 that completely divides 160 are.
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160
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 809 :
The positive integer divisors of 809 that completely divides 809 are.
1, 809
Divisors of 984 :
The positive integer divisors of 984 that completely divides 984 are.
1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984
GCD of numbers is the greatest common divisor
So, the GCD (160, 784, 809, 984) = 1.
Given numbers are 160, 784, 809, 984
The list of prime factors of all numbers are
Prime factors of 160 are 2 x 2 x 2 x 2 x 2 x 5
Prime factors of 784 are 2 x 2 x 2 x 2 x 7 x 7
Prime factors of 809 are 809
Prime factors of 984 are 2 x 2 x 2 x 3 x 41
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 160, 784, 809, 984
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(160, 784) = 7840
GCD(160, 784) = ( 160 x 784 ) / 7840
= 160 / 784
= 160
Step2:
LCM(16, 809) = 12944
GCD(16, 809) = ( 16 x 809 ) / 12944
= 16 / 809
= 16
Step3:
LCM(1, 984) = 984
GCD(1, 984) = ( 1 x 984 ) / 984
= 1 / 984
= 1
So, Greatest Common Divisor of 160, 784, 809, 984 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 160, 784, 809, 984
The greatest common divisor of numbers 160, 784, 809, 984 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 160, 784, 809, 984 is 1.
1. What is the GCD of 160, 784, 809, 984?
GCD of given numbers 160, 784, 809, 984 is 1
2. How to calculate the greatest common divisor of 160, 784, 809, 984?
We can find the highest common divisor of 160, 784, 809, 984 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 160, 784, 809, 984 i.e 1.
3. How can I use the GCD of 160, 784, 809, 984Calculator?
Out the numbers 160, 784, 809, 984 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.