Online GCD Calculator is useful to find the GCD of 513, 480, 314, 998 quickly. Get the easiest ways to solve the greatest common divisor of 513, 480, 314, 998 i.e 1 in different methods as follows.
Given Input numbers are 513, 480, 314, 998
In the factoring method, we have to find the divisors of all numbers
Divisors of 513 :
The positive integer divisors of 513 that completely divides 513 are.
1, 3, 9, 19, 27, 57, 171, 513
Divisors of 480 :
The positive integer divisors of 480 that completely divides 480 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480
Divisors of 314 :
The positive integer divisors of 314 that completely divides 314 are.
1, 2, 157, 314
Divisors of 998 :
The positive integer divisors of 998 that completely divides 998 are.
1, 2, 499, 998
GCD of numbers is the greatest common divisor
So, the GCD (513, 480, 314, 998) = 1.
Given numbers are 513, 480, 314, 998
The list of prime factors of all numbers are
Prime factors of 513 are 3 x 3 x 3 x 19
Prime factors of 480 are 2 x 2 x 2 x 2 x 2 x 3 x 5
Prime factors of 314 are 2 x 157
Prime factors of 998 are 2 x 499
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 513, 480, 314, 998
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(513, 480) = 82080
GCD(513, 480) = ( 513 x 480 ) / 82080
= 513 / 480
= 513
Step2:
LCM(3, 314) = 942
GCD(3, 314) = ( 3 x 314 ) / 942
= 3 / 314
= 3
Step3:
LCM(1, 998) = 998
GCD(1, 998) = ( 1 x 998 ) / 998
= 1 / 998
= 1
So, Greatest Common Divisor of 513, 480, 314, 998 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 513, 480, 314, 998
The greatest common divisor of numbers 513, 480, 314, 998 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 513, 480, 314, 998 is 1.
1. What is the GCD of 513, 480, 314, 998?
GCD of given numbers 513, 480, 314, 998 is 1
2. How to calculate the greatest common divisor of 513, 480, 314, 998?
We can find the highest common divisor of 513, 480, 314, 998 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 513, 480, 314, 998 i.e 1.
3. How can I use the GCD of 513, 480, 314, 998Calculator?
Out the numbers 513, 480, 314, 998 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.