Online GCD Calculator is useful to find the GCD of 315, 789, 319, 270 quickly. Get the easiest ways to solve the greatest common divisor of 315, 789, 319, 270 i.e 1 in different methods as follows.
Given Input numbers are 315, 789, 319, 270
In the factoring method, we have to find the divisors of all numbers
Divisors of 315 :
The positive integer divisors of 315 that completely divides 315 are.
1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
Divisors of 789 :
The positive integer divisors of 789 that completely divides 789 are.
1, 3, 263, 789
Divisors of 319 :
The positive integer divisors of 319 that completely divides 319 are.
1, 11, 29, 319
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 (315, 789, 319, 270) = 1.
Given numbers are 315, 789, 319, 270
The list of prime factors of all numbers are
Prime factors of 315 are 3 x 3 x 5 x 7
Prime factors of 789 are 3 x 263
Prime factors of 319 are 11 x 29
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 315, 789, 319, 270
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(315, 789) = 82845
GCD(315, 789) = ( 315 x 789 ) / 82845
= 315 / 789
= 315
Step2:
LCM(3, 319) = 957
GCD(3, 319) = ( 3 x 319 ) / 957
= 3 / 319
= 3
Step3:
LCM(1, 270) = 270
GCD(1, 270) = ( 1 x 270 ) / 270
= 1 / 270
= 1
So, Greatest Common Divisor of 315, 789, 319, 270 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 315, 789, 319, 270
The greatest common divisor of numbers 315, 789, 319, 270 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 315, 789, 319, 270 is 1.
1. What is the GCD of 315, 789, 319, 270?
GCD of given numbers 315, 789, 319, 270 is 1
2. How to calculate the greatest common divisor of 315, 789, 319, 270?
We can find the highest common divisor of 315, 789, 319, 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 315, 789, 319, 270 i.e 1.
3. How can I use the GCD of 315, 789, 319, 270Calculator?
Out the numbers 315, 789, 319, 270 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.