Online GCD Calculator is useful to find the GCD of 315, 561, 949, 314 quickly. Get the easiest ways to solve the greatest common divisor of 315, 561, 949, 314 i.e 1 in different methods as follows.
Given Input numbers are 315, 561, 949, 314
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 561 :
The positive integer divisors of 561 that completely divides 561 are.
1, 3, 11, 17, 33, 51, 187, 561
Divisors of 949 :
The positive integer divisors of 949 that completely divides 949 are.
1, 13, 73, 949
Divisors of 314 :
The positive integer divisors of 314 that completely divides 314 are.
1, 2, 157, 314
GCD of numbers is the greatest common divisor
So, the GCD (315, 561, 949, 314) = 1.
Given numbers are 315, 561, 949, 314
The list of prime factors of all numbers are
Prime factors of 315 are 3 x 3 x 5 x 7
Prime factors of 561 are 3 x 11 x 17
Prime factors of 949 are 13 x 73
Prime factors of 314 are 2 x 157
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 315, 561, 949, 314
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(315, 561) = 58905
GCD(315, 561) = ( 315 x 561 ) / 58905
= 315 / 561
= 315
Step2:
LCM(3, 949) = 2847
GCD(3, 949) = ( 3 x 949 ) / 2847
= 3 / 949
= 3
Step3:
LCM(1, 314) = 314
GCD(1, 314) = ( 1 x 314 ) / 314
= 1 / 314
= 1
So, Greatest Common Divisor of 315, 561, 949, 314 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 315, 561, 949, 314
The greatest common divisor of numbers 315, 561, 949, 314 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 315, 561, 949, 314 is 1.
1. What is the GCD of 315, 561, 949, 314?
GCD of given numbers 315, 561, 949, 314 is 1
2. How to calculate the greatest common divisor of 315, 561, 949, 314?
We can find the highest common divisor of 315, 561, 949, 314 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, 561, 949, 314 i.e 1.
3. How can I use the GCD of 315, 561, 949, 314Calculator?
Out the numbers 315, 561, 949, 314 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.