Online GCD Calculator is useful to find the GCD of 792, 508, 324, 600 quickly. Get the easiest ways to solve the greatest common divisor of 792, 508, 324, 600 i.e 4 in different methods as follows.
Given Input numbers are 792, 508, 324, 600
In the factoring method, we have to find the divisors of all numbers
Divisors of 792 :
The positive integer divisors of 792 that completely divides 792 are.
1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792
Divisors of 508 :
The positive integer divisors of 508 that completely divides 508 are.
1, 2, 4, 127, 254, 508
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 600 :
The positive integer divisors of 600 that completely divides 600 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600
GCD of numbers is the greatest common divisor
So, the GCD (792, 508, 324, 600) = 4.
Given numbers are 792, 508, 324, 600
The list of prime factors of all numbers are
Prime factors of 792 are 2 x 2 x 2 x 3 x 3 x 11
Prime factors of 508 are 2 x 2 x 127
Prime factors of 324 are 2 x 2 x 3 x 3 x 3 x 3
Prime factors of 600 are 2 x 2 x 2 x 3 x 5 x 5
The highest common occurrence is 22
Therefore, GCD of 792, 508, 324, 600 is 4.
Given numbers are 792, 508, 324, 600
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(792, 508) = 100584
GCD(792, 508) = ( 792 x 508 ) / 100584
= 792 / 508
= 792
Step2:
LCM(4, 324) = 324
GCD(4, 324) = ( 4 x 324 ) / 324
= 4 / 324
= 4
Step3:
LCM(4, 600) = 600
GCD(4, 600) = ( 4 x 600 ) / 600
= 4 / 600
= 4
So, Greatest Common Divisor of 792, 508, 324, 600 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 792, 508, 324, 600
The greatest common divisor of numbers 792, 508, 324, 600 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 792, 508, 324, 600 is 4.
1. What is the GCD of 792, 508, 324, 600?
GCD of given numbers 792, 508, 324, 600 is 4
2. How to calculate the greatest common divisor of 792, 508, 324, 600?
We can find the highest common divisor of 792, 508, 324, 600 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 792, 508, 324, 600 i.e 4.
3. How can I use the GCD of 792, 508, 324, 600Calculator?
Out the numbers 792, 508, 324, 600 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.