Online GCD Calculator is useful to find the GCD of 468, 711, 814, 509 quickly. Get the easiest ways to solve the greatest common divisor of 468, 711, 814, 509 i.e 1 in different methods as follows.
Given Input numbers are 468, 711, 814, 509
In the factoring method, we have to find the divisors of all numbers
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 711 :
The positive integer divisors of 711 that completely divides 711 are.
1, 3, 9, 79, 237, 711
Divisors of 814 :
The positive integer divisors of 814 that completely divides 814 are.
1, 2, 11, 22, 37, 74, 407, 814
Divisors of 509 :
The positive integer divisors of 509 that completely divides 509 are.
1, 509
GCD of numbers is the greatest common divisor
So, the GCD (468, 711, 814, 509) = 1.
Given numbers are 468, 711, 814, 509
The list of prime factors of all numbers are
Prime factors of 468 are 2 x 2 x 3 x 3 x 13
Prime factors of 711 are 3 x 3 x 79
Prime factors of 814 are 2 x 11 x 37
Prime factors of 509 are 509
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 468, 711, 814, 509
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(468, 711) = 36972
GCD(468, 711) = ( 468 x 711 ) / 36972
= 468 / 711
= 468
Step2:
LCM(9, 814) = 7326
GCD(9, 814) = ( 9 x 814 ) / 7326
= 9 / 814
= 9
Step3:
LCM(1, 509) = 509
GCD(1, 509) = ( 1 x 509 ) / 509
= 1 / 509
= 1
So, Greatest Common Divisor of 468, 711, 814, 509 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 468, 711, 814, 509
The greatest common divisor of numbers 468, 711, 814, 509 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 468, 711, 814, 509 is 1.
1. What is the GCD of 468, 711, 814, 509?
GCD of given numbers 468, 711, 814, 509 is 1
2. How to calculate the greatest common divisor of 468, 711, 814, 509?
We can find the highest common divisor of 468, 711, 814, 509 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 468, 711, 814, 509 i.e 1.
3. How can I use the GCD of 468, 711, 814, 509Calculator?
Out the numbers 468, 711, 814, 509 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.