Online GCD Calculator is useful to find the GCD of 488, 448, 464, 808 quickly. Get the easiest ways to solve the greatest common divisor of 488, 448, 464, 808 i.e 8 in different methods as follows.
Given Input numbers are 488, 448, 464, 808
In the factoring method, we have to find the divisors of all numbers
Divisors of 488 :
The positive integer divisors of 488 that completely divides 488 are.
1, 2, 4, 8, 61, 122, 244, 488
Divisors of 448 :
The positive integer divisors of 448 that completely divides 448 are.
1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448
Divisors of 464 :
The positive integer divisors of 464 that completely divides 464 are.
1, 2, 4, 8, 16, 29, 58, 116, 232, 464
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 (488, 448, 464, 808) = 8.
Given numbers are 488, 448, 464, 808
The list of prime factors of all numbers are
Prime factors of 488 are 2 x 2 x 2 x 61
Prime factors of 448 are 2 x 2 x 2 x 2 x 2 x 2 x 7
Prime factors of 464 are 2 x 2 x 2 x 2 x 29
Prime factors of 808 are 2 x 2 x 2 x 101
The highest common occurrence is 23
Therefore, GCD of 488, 448, 464, 808 is 8.
Given numbers are 488, 448, 464, 808
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(488, 448) = 27328
GCD(488, 448) = ( 488 x 448 ) / 27328
= 488 / 448
= 488
Step2:
LCM(8, 464) = 464
GCD(8, 464) = ( 8 x 464 ) / 464
= 8 / 464
= 8
Step3:
LCM(8, 808) = 808
GCD(8, 808) = ( 8 x 808 ) / 808
= 8 / 808
= 8
So, Greatest Common Divisor of 488, 448, 464, 808 is 8
Here are some samples of GCD of Numbers calculations.
Given numbers are 488, 448, 464, 808
The greatest common divisor of numbers 488, 448, 464, 808 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 488, 448, 464, 808 is 8.
1. What is the GCD of 488, 448, 464, 808?
GCD of given numbers 488, 448, 464, 808 is 8
2. How to calculate the greatest common divisor of 488, 448, 464, 808?
We can find the highest common divisor of 488, 448, 464, 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 488, 448, 464, 808 i.e 8.
3. How can I use the GCD of 488, 448, 464, 808Calculator?
Out the numbers 488, 448, 464, 808 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.