Online GCD Calculator is useful to find the GCD of 508, 800, 176, 288 quickly. Get the easiest ways to solve the greatest common divisor of 508, 800, 176, 288 i.e 4 in different methods as follows.
Given Input numbers are 508, 800, 176, 288
In the factoring method, we have to find the divisors of all numbers
Divisors of 508 :
The positive integer divisors of 508 that completely divides 508 are.
1, 2, 4, 127, 254, 508
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 176 :
The positive integer divisors of 176 that completely divides 176 are.
1, 2, 4, 8, 11, 16, 22, 44, 88, 176
Divisors of 288 :
The positive integer divisors of 288 that completely divides 288 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
GCD of numbers is the greatest common divisor
So, the GCD (508, 800, 176, 288) = 4.
Given numbers are 508, 800, 176, 288
The list of prime factors of all numbers are
Prime factors of 508 are 2 x 2 x 127
Prime factors of 800 are 2 x 2 x 2 x 2 x 2 x 5 x 5
Prime factors of 176 are 2 x 2 x 2 x 2 x 11
Prime factors of 288 are 2 x 2 x 2 x 2 x 2 x 3 x 3
The highest common occurrence is 22
Therefore, GCD of 508, 800, 176, 288 is 4.
Given numbers are 508, 800, 176, 288
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(508, 800) = 101600
GCD(508, 800) = ( 508 x 800 ) / 101600
= 508 / 800
= 508
Step2:
LCM(4, 176) = 176
GCD(4, 176) = ( 4 x 176 ) / 176
= 4 / 176
= 4
Step3:
LCM(4, 288) = 288
GCD(4, 288) = ( 4 x 288 ) / 288
= 4 / 288
= 4
So, Greatest Common Divisor of 508, 800, 176, 288 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 508, 800, 176, 288
The greatest common divisor of numbers 508, 800, 176, 288 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 508, 800, 176, 288 is 4.
1. What is the GCD of 508, 800, 176, 288?
GCD of given numbers 508, 800, 176, 288 is 4
2. How to calculate the greatest common divisor of 508, 800, 176, 288?
We can find the highest common divisor of 508, 800, 176, 288 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 508, 800, 176, 288 i.e 4.
3. How can I use the GCD of 508, 800, 176, 288Calculator?
Out the numbers 508, 800, 176, 288 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.