Online GCD Calculator is useful to find the GCD of 317, 720, 735, 270 quickly. Get the easiest ways to solve the greatest common divisor of 317, 720, 735, 270 i.e 1 in different methods as follows.
Given Input numbers are 317, 720, 735, 270
In the factoring method, we have to find the divisors of all numbers
Divisors of 317 :
The positive integer divisors of 317 that completely divides 317 are.
1, 317
Divisors of 720 :
The positive integer divisors of 720 that completely divides 720 are.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720
Divisors of 735 :
The positive integer divisors of 735 that completely divides 735 are.
1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
Divisors of 270 :
The positive integer divisors of 270 that completely divides 270 are.
1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
GCD of numbers is the greatest common divisor
So, the GCD (317, 720, 735, 270) = 1.
Given numbers are 317, 720, 735, 270
The list of prime factors of all numbers are
Prime factors of 317 are 317
Prime factors of 720 are 2 x 2 x 2 x 2 x 3 x 3 x 5
Prime factors of 735 are 3 x 5 x 7 x 7
Prime factors of 270 are 2 x 3 x 3 x 3 x 5
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 317, 720, 735, 270
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(317, 720) = 228240
GCD(317, 720) = ( 317 x 720 ) / 228240
= 317 / 720
= 317
Step2:
LCM(1, 735) = 735
GCD(1, 735) = ( 1 x 735 ) / 735
= 1 / 735
= 1
Step3:
LCM(1, 270) = 270
GCD(1, 270) = ( 1 x 270 ) / 270
= 1 / 270
= 1
So, Greatest Common Divisor of 317, 720, 735, 270 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 317, 720, 735, 270
The greatest common divisor of numbers 317, 720, 735, 270 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 317, 720, 735, 270 is 1.
1. What is the GCD of 317, 720, 735, 270?
GCD of given numbers 317, 720, 735, 270 is 1
2. How to calculate the greatest common divisor of 317, 720, 735, 270?
We can find the highest common divisor of 317, 720, 735, 270 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 317, 720, 735, 270 i.e 1.
3. How can I use the GCD of 317, 720, 735, 270Calculator?
Out the numbers 317, 720, 735, 270 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.