Online GCD Calculator is useful to find the GCD of 810, 468, 675, 246 quickly. Get the easiest ways to solve the greatest common divisor of 810, 468, 675, 246 i.e 3 in different methods as follows.
Given Input numbers are 810, 468, 675, 246
In the factoring method, we have to find the divisors of all numbers
Divisors of 810 :
The positive integer divisors of 810 that completely divides 810 are.
1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810
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 675 :
The positive integer divisors of 675 that completely divides 675 are.
1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675
Divisors of 246 :
The positive integer divisors of 246 that completely divides 246 are.
1, 2, 3, 6, 41, 82, 123, 246
GCD of numbers is the greatest common divisor
So, the GCD (810, 468, 675, 246) = 3.
Given numbers are 810, 468, 675, 246
The list of prime factors of all numbers are
Prime factors of 810 are 2 x 3 x 3 x 3 x 3 x 5
Prime factors of 468 are 2 x 2 x 3 x 3 x 13
Prime factors of 675 are 3 x 3 x 3 x 5 x 5
Prime factors of 246 are 2 x 3 x 41
The highest common occurrence is 31
Therefore, GCD of 810, 468, 675, 246 is 3.
Given numbers are 810, 468, 675, 246
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(810, 468) = 21060
GCD(810, 468) = ( 810 x 468 ) / 21060
= 810 / 468
= 810
Step2:
LCM(18, 675) = 1350
GCD(18, 675) = ( 18 x 675 ) / 1350
= 18 / 675
= 18
Step3:
LCM(9, 246) = 738
GCD(9, 246) = ( 9 x 246 ) / 738
= 9 / 246
= 9
So, Greatest Common Divisor of 810, 468, 675, 246 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 810, 468, 675, 246
The greatest common divisor of numbers 810, 468, 675, 246 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 810, 468, 675, 246 is 3.
1. What is the GCD of 810, 468, 675, 246?
GCD of given numbers 810, 468, 675, 246 is 3
2. How to calculate the greatest common divisor of 810, 468, 675, 246?
We can find the highest common divisor of 810, 468, 675, 246 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 810, 468, 675, 246 i.e 3.
3. How can I use the GCD of 810, 468, 675, 246Calculator?
Out the numbers 810, 468, 675, 246 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.