Online GCD Calculator is useful to find the GCD of 324, 504, 448, 500 quickly. Get the easiest ways to solve the greatest common divisor of 324, 504, 448, 500 i.e 4 in different methods as follows.
Given Input numbers are 324, 504, 448, 500
In the factoring method, we have to find the divisors of all numbers
Divisors of 324 :
The positive integer divisors of 324 that completely divides 324 are.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324
Divisors of 504 :
The positive integer divisors of 504 that completely divides 504 are.
1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504
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 500 :
The positive integer divisors of 500 that completely divides 500 are.
1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500
GCD of numbers is the greatest common divisor
So, the GCD (324, 504, 448, 500) = 4.
Given numbers are 324, 504, 448, 500
The list of prime factors of all numbers are
Prime factors of 324 are 2 x 2 x 3 x 3 x 3 x 3
Prime factors of 504 are 2 x 2 x 2 x 3 x 3 x 7
Prime factors of 448 are 2 x 2 x 2 x 2 x 2 x 2 x 7
Prime factors of 500 are 2 x 2 x 5 x 5 x 5
The highest common occurrence is 22
Therefore, GCD of 324, 504, 448, 500 is 4.
Given numbers are 324, 504, 448, 500
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(324, 504) = 4536
GCD(324, 504) = ( 324 x 504 ) / 4536
= 324 / 504
= 324
Step2:
LCM(36, 448) = 4032
GCD(36, 448) = ( 36 x 448 ) / 4032
= 36 / 448
= 36
Step3:
LCM(4, 500) = 500
GCD(4, 500) = ( 4 x 500 ) / 500
= 4 / 500
= 4
So, Greatest Common Divisor of 324, 504, 448, 500 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 324, 504, 448, 500
The greatest common divisor of numbers 324, 504, 448, 500 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 324, 504, 448, 500 is 4.
1. What is the GCD of 324, 504, 448, 500?
GCD of given numbers 324, 504, 448, 500 is 4
2. How to calculate the greatest common divisor of 324, 504, 448, 500?
We can find the highest common divisor of 324, 504, 448, 500 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 324, 504, 448, 500 i.e 4.
3. How can I use the GCD of 324, 504, 448, 500Calculator?
Out the numbers 324, 504, 448, 500 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.