Online GCD Calculator is useful to find the GCD of 509, 494, 300, 689 quickly. Get the easiest ways to solve the greatest common divisor of 509, 494, 300, 689 i.e 1 in different methods as follows.
Given Input numbers are 509, 494, 300, 689
In the factoring method, we have to find the divisors of all numbers
Divisors of 509 :
The positive integer divisors of 509 that completely divides 509 are.
1, 509
Divisors of 494 :
The positive integer divisors of 494 that completely divides 494 are.
1, 2, 13, 19, 26, 38, 247, 494
Divisors of 300 :
The positive integer divisors of 300 that completely divides 300 are.
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
Divisors of 689 :
The positive integer divisors of 689 that completely divides 689 are.
1, 13, 53, 689
GCD of numbers is the greatest common divisor
So, the GCD (509, 494, 300, 689) = 1.
Given numbers are 509, 494, 300, 689
The list of prime factors of all numbers are
Prime factors of 509 are 509
Prime factors of 494 are 2 x 13 x 19
Prime factors of 300 are 2 x 2 x 3 x 5 x 5
Prime factors of 689 are 13 x 53
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 509, 494, 300, 689
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(509, 494) = 251446
GCD(509, 494) = ( 509 x 494 ) / 251446
= 509 / 494
= 509
Step2:
LCM(1, 300) = 300
GCD(1, 300) = ( 1 x 300 ) / 300
= 1 / 300
= 1
Step3:
LCM(1, 689) = 689
GCD(1, 689) = ( 1 x 689 ) / 689
= 1 / 689
= 1
So, Greatest Common Divisor of 509, 494, 300, 689 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 509, 494, 300, 689
The greatest common divisor of numbers 509, 494, 300, 689 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 509, 494, 300, 689 is 1.
1. What is the GCD of 509, 494, 300, 689?
GCD of given numbers 509, 494, 300, 689 is 1
2. How to calculate the greatest common divisor of 509, 494, 300, 689?
We can find the highest common divisor of 509, 494, 300, 689 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 509, 494, 300, 689 i.e 1.
3. How can I use the GCD of 509, 494, 300, 689Calculator?
Out the numbers 509, 494, 300, 689 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.