Online GCD Calculator is useful to find the GCD of 468, 531, 600 quickly. Get the easiest ways to solve the greatest common divisor of 468, 531, 600 i.e 3 in different methods as follows.
Given Input numbers are 468, 531, 600
In the factoring method, we have to find the divisors of all numbers
Divisors of 468 :
The positive integer divisors of 468 that completely divides 468 are.
1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
Divisors of 531 :
The positive integer divisors of 531 that completely divides 531 are.
1, 3, 9, 59, 177, 531
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 (468, 531, 600) = 3.
Given numbers are 468, 531, 600
The list of prime factors of all numbers are
Prime factors of 468 are 2 x 2 x 3 x 3 x 13
Prime factors of 531 are 3 x 3 x 59
Prime factors of 600 are 2 x 2 x 2 x 3 x 5 x 5
The highest common occurrence is 31
Therefore, GCD of 468, 531, 600 is 3.
Given numbers are 468, 531, 600
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(468, 531) = 27612
GCD(468, 531) = ( 468 x 531 ) / 27612
= 468 / 531
= 468
Step2:
LCM(9, 600) = 1800
GCD(9, 600) = ( 9 x 600 ) / 1800
= 9 / 600
= 9
So, Greatest Common Divisor of 468, 531, 600 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 468, 531, 600
The greatest common divisor of numbers 468, 531, 600 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 468, 531, 600 is 3.
1. What is the GCD of 468, 531, 600?
GCD of given numbers 468, 531, 600 is 3
2. How to calculate the greatest common divisor of 468, 531, 600?
We can find the highest common divisor of 468, 531, 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 468, 531, 600 i.e 3.
3. How can I use the GCD of 468, 531, 600Calculator?
Out the numbers 468, 531, 600 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.