Online GCD Calculator is useful to find the GCD of 500, 178, 176, 638 quickly. Get the easiest ways to solve the greatest common divisor of 500, 178, 176, 638 i.e 2 in different methods as follows.
Given Input numbers are 500, 178, 176, 638
In the factoring method, we have to find the divisors of all numbers
Divisors of 500 :
The positive integer divisors of 500 that completely divides 500 are.
1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500
Divisors of 178 :
The positive integer divisors of 178 that completely divides 178 are.
1, 2, 89, 178
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 638 :
The positive integer divisors of 638 that completely divides 638 are.
1, 2, 11, 22, 29, 58, 319, 638
GCD of numbers is the greatest common divisor
So, the GCD (500, 178, 176, 638) = 2.
Given numbers are 500, 178, 176, 638
The list of prime factors of all numbers are
Prime factors of 500 are 2 x 2 x 5 x 5 x 5
Prime factors of 178 are 2 x 89
Prime factors of 176 are 2 x 2 x 2 x 2 x 11
Prime factors of 638 are 2 x 11 x 29
The highest common occurrence is 21
Therefore, GCD of 500, 178, 176, 638 is 2.
Given numbers are 500, 178, 176, 638
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(500, 178) = 44500
GCD(500, 178) = ( 500 x 178 ) / 44500
= 500 / 178
= 500
Step2:
LCM(2, 176) = 176
GCD(2, 176) = ( 2 x 176 ) / 176
= 2 / 176
= 2
Step3:
LCM(2, 638) = 638
GCD(2, 638) = ( 2 x 638 ) / 638
= 2 / 638
= 2
So, Greatest Common Divisor of 500, 178, 176, 638 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 500, 178, 176, 638
The greatest common divisor of numbers 500, 178, 176, 638 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 500, 178, 176, 638 is 2.
1. What is the GCD of 500, 178, 176, 638?
GCD of given numbers 500, 178, 176, 638 is 2
2. How to calculate the greatest common divisor of 500, 178, 176, 638?
We can find the highest common divisor of 500, 178, 176, 638 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 500, 178, 176, 638 i.e 2.
3. How can I use the GCD of 500, 178, 176, 638Calculator?
Out the numbers 500, 178, 176, 638 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.