Online GCD Calculator is useful to find the GCD of 510, 765, 318, 320 quickly. Get the easiest ways to solve the greatest common divisor of 510, 765, 318, 320 i.e 1 in different methods as follows.
Given Input numbers are 510, 765, 318, 320
In the factoring method, we have to find the divisors of all numbers
Divisors of 510 :
The positive integer divisors of 510 that completely divides 510 are.
1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
Divisors of 765 :
The positive integer divisors of 765 that completely divides 765 are.
1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765
Divisors of 318 :
The positive integer divisors of 318 that completely divides 318 are.
1, 2, 3, 6, 53, 106, 159, 318
Divisors of 320 :
The positive integer divisors of 320 that completely divides 320 are.
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320
GCD of numbers is the greatest common divisor
So, the GCD (510, 765, 318, 320) = 1.
Given numbers are 510, 765, 318, 320
The list of prime factors of all numbers are
Prime factors of 510 are 2 x 3 x 5 x 17
Prime factors of 765 are 3 x 3 x 5 x 17
Prime factors of 318 are 2 x 3 x 53
Prime factors of 320 are 2 x 2 x 2 x 2 x 2 x 2 x 5
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 510, 765, 318, 320
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(510, 765) = 1530
GCD(510, 765) = ( 510 x 765 ) / 1530
= 510 / 765
= 510
Step2:
LCM(255, 318) = 27030
GCD(255, 318) = ( 255 x 318 ) / 27030
= 255 / 318
= 255
Step3:
LCM(3, 320) = 960
GCD(3, 320) = ( 3 x 320 ) / 960
= 3 / 320
= 3
So, Greatest Common Divisor of 510, 765, 318, 320 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 510, 765, 318, 320
The greatest common divisor of numbers 510, 765, 318, 320 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 510, 765, 318, 320 is 1.
1. What is the GCD of 510, 765, 318, 320?
GCD of given numbers 510, 765, 318, 320 is 1
2. How to calculate the greatest common divisor of 510, 765, 318, 320?
We can find the highest common divisor of 510, 765, 318, 320 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 510, 765, 318, 320 i.e 1.
3. How can I use the GCD of 510, 765, 318, 320Calculator?
Out the numbers 510, 765, 318, 320 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.