Online GCD Calculator is useful to find the GCD of 216, 777, 750, 814 quickly. Get the easiest ways to solve the greatest common divisor of 216, 777, 750, 814 i.e 1 in different methods as follows.
Given Input numbers are 216, 777, 750, 814
In the factoring method, we have to find the divisors of all numbers
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 777 :
The positive integer divisors of 777 that completely divides 777 are.
1, 3, 7, 21, 37, 111, 259, 777
Divisors of 750 :
The positive integer divisors of 750 that completely divides 750 are.
1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750
Divisors of 814 :
The positive integer divisors of 814 that completely divides 814 are.
1, 2, 11, 22, 37, 74, 407, 814
GCD of numbers is the greatest common divisor
So, the GCD (216, 777, 750, 814) = 1.
Given numbers are 216, 777, 750, 814
The list of prime factors of all numbers are
Prime factors of 216 are 2 x 2 x 2 x 3 x 3 x 3
Prime factors of 777 are 3 x 7 x 37
Prime factors of 750 are 2 x 3 x 5 x 5 x 5
Prime factors of 814 are 2 x 11 x 37
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 216, 777, 750, 814
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(216, 777) = 55944
GCD(216, 777) = ( 216 x 777 ) / 55944
= 216 / 777
= 216
Step2:
LCM(3, 750) = 750
GCD(3, 750) = ( 3 x 750 ) / 750
= 3 / 750
= 3
Step3:
LCM(3, 814) = 2442
GCD(3, 814) = ( 3 x 814 ) / 2442
= 3 / 814
= 3
So, Greatest Common Divisor of 216, 777, 750, 814 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 216, 777, 750, 814
The greatest common divisor of numbers 216, 777, 750, 814 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 216, 777, 750, 814 is 1.
1. What is the GCD of 216, 777, 750, 814?
GCD of given numbers 216, 777, 750, 814 is 1
2. How to calculate the greatest common divisor of 216, 777, 750, 814?
We can find the highest common divisor of 216, 777, 750, 814 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 216, 777, 750, 814 i.e 1.
3. How can I use the GCD of 216, 777, 750, 814Calculator?
Out the numbers 216, 777, 750, 814 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.