Online GCD Calculator is useful to find the GCD of 918, 588, 500, 324 quickly. Get the easiest ways to solve the greatest common divisor of 918, 588, 500, 324 i.e 2 in different methods as follows.
Given Input numbers are 918, 588, 500, 324
In the factoring method, we have to find the divisors of all numbers
Divisors of 918 :
The positive integer divisors of 918 that completely divides 918 are.
1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
Divisors of 588 :
The positive integer divisors of 588 that completely divides 588 are.
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
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 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
GCD of numbers is the greatest common divisor
So, the GCD (918, 588, 500, 324) = 2.
Given numbers are 918, 588, 500, 324
The list of prime factors of all numbers are
Prime factors of 918 are 2 x 3 x 3 x 3 x 17
Prime factors of 588 are 2 x 2 x 3 x 7 x 7
Prime factors of 500 are 2 x 2 x 5 x 5 x 5
Prime factors of 324 are 2 x 2 x 3 x 3 x 3 x 3
The highest common occurrence is 21
Therefore, GCD of 918, 588, 500, 324 is 2.
Given numbers are 918, 588, 500, 324
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(918, 588) = 89964
GCD(918, 588) = ( 918 x 588 ) / 89964
= 918 / 588
= 918
Step2:
LCM(6, 500) = 1500
GCD(6, 500) = ( 6 x 500 ) / 1500
= 6 / 500
= 6
Step3:
LCM(2, 324) = 324
GCD(2, 324) = ( 2 x 324 ) / 324
= 2 / 324
= 2
So, Greatest Common Divisor of 918, 588, 500, 324 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 918, 588, 500, 324
The greatest common divisor of numbers 918, 588, 500, 324 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 918, 588, 500, 324 is 2.
1. What is the GCD of 918, 588, 500, 324?
GCD of given numbers 918, 588, 500, 324 is 2
2. How to calculate the greatest common divisor of 918, 588, 500, 324?
We can find the highest common divisor of 918, 588, 500, 324 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 918, 588, 500, 324 i.e 2.
3. How can I use the GCD of 918, 588, 500, 324Calculator?
Out the numbers 918, 588, 500, 324 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.