Online GCD Calculator is useful to find the GCD of 813, 216, 741, 255 quickly. Get the easiest ways to solve the greatest common divisor of 813, 216, 741, 255 i.e 3 in different methods as follows.
Given Input numbers are 813, 216, 741, 255
In the factoring method, we have to find the divisors of all numbers
Divisors of 813 :
The positive integer divisors of 813 that completely divides 813 are.
1, 3, 271, 813
Divisors of 216 :
The positive integer divisors of 216 that completely divides 216 are.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
Divisors of 741 :
The positive integer divisors of 741 that completely divides 741 are.
1, 3, 13, 19, 39, 57, 247, 741
Divisors of 255 :
The positive integer divisors of 255 that completely divides 255 are.
1, 3, 5, 15, 17, 51, 85, 255
GCD of numbers is the greatest common divisor
So, the GCD (813, 216, 741, 255) = 3.
Given numbers are 813, 216, 741, 255
The list of prime factors of all numbers are
Prime factors of 813 are 3 x 271
Prime factors of 216 are 2 x 2 x 2 x 3 x 3 x 3
Prime factors of 741 are 3 x 13 x 19
Prime factors of 255 are 3 x 5 x 17
The highest common occurrence is 31
Therefore, GCD of 813, 216, 741, 255 is 3.
Given numbers are 813, 216, 741, 255
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(813, 216) = 58536
GCD(813, 216) = ( 813 x 216 ) / 58536
= 813 / 216
= 813
Step2:
LCM(3, 741) = 741
GCD(3, 741) = ( 3 x 741 ) / 741
= 3 / 741
= 3
Step3:
LCM(3, 255) = 255
GCD(3, 255) = ( 3 x 255 ) / 255
= 3 / 255
= 3
So, Greatest Common Divisor of 813, 216, 741, 255 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 813, 216, 741, 255
The greatest common divisor of numbers 813, 216, 741, 255 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 813, 216, 741, 255 is 3.
1. What is the GCD of 813, 216, 741, 255?
GCD of given numbers 813, 216, 741, 255 is 3
2. How to calculate the greatest common divisor of 813, 216, 741, 255?
We can find the highest common divisor of 813, 216, 741, 255 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 813, 216, 741, 255 i.e 3.
3. How can I use the GCD of 813, 216, 741, 255Calculator?
Out the numbers 813, 216, 741, 255 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.