Online GCD Calculator is useful to find the GCD of 924, 480, 500, 508 quickly. Get the easiest ways to solve the greatest common divisor of 924, 480, 500, 508 i.e 4 in different methods as follows.
Given Input numbers are 924, 480, 500, 508
In the factoring method, we have to find the divisors of all numbers
Divisors of 924 :
The positive integer divisors of 924 that completely divides 924 are.
1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924
Divisors of 480 :
The positive integer divisors of 480 that completely divides 480 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480
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 508 :
The positive integer divisors of 508 that completely divides 508 are.
1, 2, 4, 127, 254, 508
GCD of numbers is the greatest common divisor
So, the GCD (924, 480, 500, 508) = 4.
Given numbers are 924, 480, 500, 508
The list of prime factors of all numbers are
Prime factors of 924 are 2 x 2 x 3 x 7 x 11
Prime factors of 480 are 2 x 2 x 2 x 2 x 2 x 3 x 5
Prime factors of 500 are 2 x 2 x 5 x 5 x 5
Prime factors of 508 are 2 x 2 x 127
The highest common occurrence is 22
Therefore, GCD of 924, 480, 500, 508 is 4.
Given numbers are 924, 480, 500, 508
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(924, 480) = 36960
GCD(924, 480) = ( 924 x 480 ) / 36960
= 924 / 480
= 924
Step2:
LCM(12, 500) = 1500
GCD(12, 500) = ( 12 x 500 ) / 1500
= 12 / 500
= 12
Step3:
LCM(4, 508) = 508
GCD(4, 508) = ( 4 x 508 ) / 508
= 4 / 508
= 4
So, Greatest Common Divisor of 924, 480, 500, 508 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 924, 480, 500, 508
The greatest common divisor of numbers 924, 480, 500, 508 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 924, 480, 500, 508 is 4.
1. What is the GCD of 924, 480, 500, 508?
GCD of given numbers 924, 480, 500, 508 is 4
2. How to calculate the greatest common divisor of 924, 480, 500, 508?
We can find the highest common divisor of 924, 480, 500, 508 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 924, 480, 500, 508 i.e 4.
3. How can I use the GCD of 924, 480, 500, 508Calculator?
Out the numbers 924, 480, 500, 508 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.