Online GCD Calculator is useful to find the GCD of 324, 546, 306, 858 quickly. Get the easiest ways to solve the greatest common divisor of 324, 546, 306, 858 i.e 6 in different methods as follows.
Given Input numbers are 324, 546, 306, 858
In the factoring method, we have to find the divisors of all numbers
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 546 :
The positive integer divisors of 546 that completely divides 546 are.
1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
Divisors of 306 :
The positive integer divisors of 306 that completely divides 306 are.
1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306
Divisors of 858 :
The positive integer divisors of 858 that completely divides 858 are.
1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
GCD of numbers is the greatest common divisor
So, the GCD (324, 546, 306, 858) = 6.
Given numbers are 324, 546, 306, 858
The list of prime factors of all numbers are
Prime factors of 324 are 2 x 2 x 3 x 3 x 3 x 3
Prime factors of 546 are 2 x 3 x 7 x 13
Prime factors of 306 are 2 x 3 x 3 x 17
Prime factors of 858 are 2 x 3 x 11 x 13
The highest common occurrence is 21 x 31
Therefore, GCD of 324, 546, 306, 858 is 6.
Given numbers are 324, 546, 306, 858
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(324, 546) = 29484
GCD(324, 546) = ( 324 x 546 ) / 29484
= 324 / 546
= 324
Step2:
LCM(6, 306) = 306
GCD(6, 306) = ( 6 x 306 ) / 306
= 6 / 306
= 6
Step3:
LCM(6, 858) = 858
GCD(6, 858) = ( 6 x 858 ) / 858
= 6 / 858
= 6
So, Greatest Common Divisor of 324, 546, 306, 858 is 6
Here are some samples of GCD of Numbers calculations.
Given numbers are 324, 546, 306, 858
The greatest common divisor of numbers 324, 546, 306, 858 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 324, 546, 306, 858 is 6.
1. What is the GCD of 324, 546, 306, 858?
GCD of given numbers 324, 546, 306, 858 is 6
2. How to calculate the greatest common divisor of 324, 546, 306, 858?
We can find the highest common divisor of 324, 546, 306, 858 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 324, 546, 306, 858 i.e 6.
3. How can I use the GCD of 324, 546, 306, 858Calculator?
Out the numbers 324, 546, 306, 858 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.