Online GCD Calculator is useful to find the GCD of 264, 855, 477, 810 quickly. Get the easiest ways to solve the greatest common divisor of 264, 855, 477, 810 i.e 3 in different methods as follows.
Given Input numbers are 264, 855, 477, 810
In the factoring method, we have to find the divisors of all numbers
Divisors of 264 :
The positive integer divisors of 264 that completely divides 264 are.
1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
Divisors of 855 :
The positive integer divisors of 855 that completely divides 855 are.
1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855
Divisors of 477 :
The positive integer divisors of 477 that completely divides 477 are.
1, 3, 9, 53, 159, 477
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
GCD of numbers is the greatest common divisor
So, the GCD (264, 855, 477, 810) = 3.
Given numbers are 264, 855, 477, 810
The list of prime factors of all numbers are
Prime factors of 264 are 2 x 2 x 2 x 3 x 11
Prime factors of 855 are 3 x 3 x 5 x 19
Prime factors of 477 are 3 x 3 x 53
Prime factors of 810 are 2 x 3 x 3 x 3 x 3 x 5
The highest common occurrence is 31
Therefore, GCD of 264, 855, 477, 810 is 3.
Given numbers are 264, 855, 477, 810
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(264, 855) = 75240
GCD(264, 855) = ( 264 x 855 ) / 75240
= 264 / 855
= 264
Step2:
LCM(3, 477) = 477
GCD(3, 477) = ( 3 x 477 ) / 477
= 3 / 477
= 3
Step3:
LCM(3, 810) = 810
GCD(3, 810) = ( 3 x 810 ) / 810
= 3 / 810
= 3
So, Greatest Common Divisor of 264, 855, 477, 810 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 264, 855, 477, 810
The greatest common divisor of numbers 264, 855, 477, 810 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 264, 855, 477, 810 is 3.
1. What is the GCD of 264, 855, 477, 810?
GCD of given numbers 264, 855, 477, 810 is 3
2. How to calculate the greatest common divisor of 264, 855, 477, 810?
We can find the highest common divisor of 264, 855, 477, 810 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 264, 855, 477, 810 i.e 3.
3. How can I use the GCD of 264, 855, 477, 810Calculator?
Out the numbers 264, 855, 477, 810 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.