Online GCD Calculator is useful to find the GCD of 520, 891, 314, 509 quickly. Get the easiest ways to solve the greatest common divisor of 520, 891, 314, 509 i.e 1 in different methods as follows.
Given Input numbers are 520, 891, 314, 509
In the factoring method, we have to find the divisors of all numbers
Divisors of 520 :
The positive integer divisors of 520 that completely divides 520 are.
1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520
Divisors of 891 :
The positive integer divisors of 891 that completely divides 891 are.
1, 3, 9, 11, 27, 33, 81, 99, 297, 891
Divisors of 314 :
The positive integer divisors of 314 that completely divides 314 are.
1, 2, 157, 314
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 (520, 891, 314, 509) = 1.
Given numbers are 520, 891, 314, 509
The list of prime factors of all numbers are
Prime factors of 520 are 2 x 2 x 2 x 5 x 13
Prime factors of 891 are 3 x 3 x 3 x 3 x 11
Prime factors of 314 are 2 x 157
Prime factors of 509 are 509
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 520, 891, 314, 509
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(520, 891) = 463320
GCD(520, 891) = ( 520 x 891 ) / 463320
= 520 / 891
= 520
Step2:
LCM(1, 314) = 314
GCD(1, 314) = ( 1 x 314 ) / 314
= 1 / 314
= 1
Step3:
LCM(1, 509) = 509
GCD(1, 509) = ( 1 x 509 ) / 509
= 1 / 509
= 1
So, Greatest Common Divisor of 520, 891, 314, 509 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 520, 891, 314, 509
The greatest common divisor of numbers 520, 891, 314, 509 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 520, 891, 314, 509 is 1.
1. What is the GCD of 520, 891, 314, 509?
GCD of given numbers 520, 891, 314, 509 is 1
2. How to calculate the greatest common divisor of 520, 891, 314, 509?
We can find the highest common divisor of 520, 891, 314, 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 520, 891, 314, 509 i.e 1.
3. How can I use the GCD of 520, 891, 314, 509Calculator?
Out the numbers 520, 891, 314, 509 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.