Online GCD Calculator is useful to find the GCD of 720, 400, 384, 808 quickly. Get the easiest ways to solve the greatest common divisor of 720, 400, 384, 808 i.e 8 in different methods as follows.
Given Input numbers are 720, 400, 384, 808
In the factoring method, we have to find the divisors of all numbers
Divisors of 720 :
The positive integer divisors of 720 that completely divides 720 are.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720
Divisors of 400 :
The positive integer divisors of 400 that completely divides 400 are.
1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
Divisors of 384 :
The positive integer divisors of 384 that completely divides 384 are.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384
Divisors of 808 :
The positive integer divisors of 808 that completely divides 808 are.
1, 2, 4, 8, 101, 202, 404, 808
GCD of numbers is the greatest common divisor
So, the GCD (720, 400, 384, 808) = 8.
Given numbers are 720, 400, 384, 808
The list of prime factors of all numbers are
Prime factors of 720 are 2 x 2 x 2 x 2 x 3 x 3 x 5
Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5
Prime factors of 384 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3
Prime factors of 808 are 2 x 2 x 2 x 101
The highest common occurrence is 23
Therefore, GCD of 720, 400, 384, 808 is 8.
Given numbers are 720, 400, 384, 808
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(720, 400) = 3600
GCD(720, 400) = ( 720 x 400 ) / 3600
= 720 / 400
= 720
Step2:
LCM(80, 384) = 1920
GCD(80, 384) = ( 80 x 384 ) / 1920
= 80 / 384
= 80
Step3:
LCM(16, 808) = 1616
GCD(16, 808) = ( 16 x 808 ) / 1616
= 16 / 808
= 16
So, Greatest Common Divisor of 720, 400, 384, 808 is 8
Here are some samples of GCD of Numbers calculations.
Given numbers are 720, 400, 384, 808
The greatest common divisor of numbers 720, 400, 384, 808 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 720, 400, 384, 808 is 8.
1. What is the GCD of 720, 400, 384, 808?
GCD of given numbers 720, 400, 384, 808 is 8
2. How to calculate the greatest common divisor of 720, 400, 384, 808?
We can find the highest common divisor of 720, 400, 384, 808 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 720, 400, 384, 808 i.e 8.
3. How can I use the GCD of 720, 400, 384, 808Calculator?
Out the numbers 720, 400, 384, 808 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.