Online GCD Calculator is useful to find the GCD of 594, 828, 498 quickly. Get the easiest ways to solve the greatest common divisor of 594, 828, 498 i.e 6 in different methods as follows.
Given Input numbers are 594, 828, 498
In the factoring method, we have to find the divisors of all numbers
Divisors of 594 :
The positive integer divisors of 594 that completely divides 594 are.
1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594
Divisors of 828 :
The positive integer divisors of 828 that completely divides 828 are.
1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
Divisors of 498 :
The positive integer divisors of 498 that completely divides 498 are.
1, 2, 3, 6, 83, 166, 249, 498
GCD of numbers is the greatest common divisor
So, the GCD (594, 828, 498) = 6.
Given numbers are 594, 828, 498
The list of prime factors of all numbers are
Prime factors of 594 are 2 x 3 x 3 x 3 x 11
Prime factors of 828 are 2 x 2 x 3 x 3 x 23
Prime factors of 498 are 2 x 3 x 83
The highest common occurrence is 21 x 31
Therefore, GCD of 594, 828, 498 is 6.
Given numbers are 594, 828, 498
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(594, 828) = 27324
GCD(594, 828) = ( 594 x 828 ) / 27324
= 594 / 828
= 594
Step2:
LCM(18, 498) = 1494
GCD(18, 498) = ( 18 x 498 ) / 1494
= 18 / 498
= 18
So, Greatest Common Divisor of 594, 828, 498 is 6
Here are some samples of GCD of Numbers calculations.
Given numbers are 594, 828, 498
The greatest common divisor of numbers 594, 828, 498 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 594, 828, 498 is 6.
1. What is the GCD of 594, 828, 498?
GCD of given numbers 594, 828, 498 is 6
2. How to calculate the greatest common divisor of 594, 828, 498?
We can find the highest common divisor of 594, 828, 498 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 594, 828, 498 i.e 6.
3. How can I use the GCD of 594, 828, 498Calculator?
Out the numbers 594, 828, 498 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.