Online GCD Calculator is useful to find the GCD of 800, 480, 13, 984 quickly. Get the easiest ways to solve the greatest common divisor of 800, 480, 13, 984 i.e 1 in different methods as follows.
Given Input numbers are 800, 480, 13, 984
In the factoring method, we have to find the divisors of all numbers
Divisors of 800 :
The positive integer divisors of 800 that completely divides 800 are.
1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800
Divisors of 480 :
The positive integer divisors of 480 that completely divides 480 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480
Divisors of 13 :
The positive integer divisors of 13 that completely divides 13 are.
1, 13
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 (800, 480, 13, 984) = 1.
Given numbers are 800, 480, 13, 984
The list of prime factors of all numbers are
Prime factors of 800 are 2 x 2 x 2 x 2 x 2 x 5 x 5
Prime factors of 480 are 2 x 2 x 2 x 2 x 2 x 3 x 5
Prime factors of 13 are 13
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 800, 480, 13, 984
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(800, 480) = 2400
GCD(800, 480) = ( 800 x 480 ) / 2400
= 800 / 480
= 800
Step2:
LCM(160, 13) = 2080
GCD(160, 13) = ( 160 x 13 ) / 2080
= 160 / 13
= 160
Step3:
LCM(1, 984) = 984
GCD(1, 984) = ( 1 x 984 ) / 984
= 1 / 984
= 1
So, Greatest Common Divisor of 800, 480, 13, 984 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 800, 480, 13, 984
The greatest common divisor of numbers 800, 480, 13, 984 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 800, 480, 13, 984 is 1.
1. What is the GCD of 800, 480, 13, 984?
GCD of given numbers 800, 480, 13, 984 is 1
2. How to calculate the greatest common divisor of 800, 480, 13, 984?
We can find the highest common divisor of 800, 480, 13, 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 800, 480, 13, 984 i.e 1.
3. How can I use the GCD of 800, 480, 13, 984Calculator?
Out the numbers 800, 480, 13, 984 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.