Online GCD Calculator is useful to find the GCD of 315, 365, 448, 940 quickly. Get the easiest ways to solve the greatest common divisor of 315, 365, 448, 940 i.e 1 in different methods as follows.
Given Input numbers are 315, 365, 448, 940
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 365 :
The positive integer divisors of 365 that completely divides 365 are.
1, 5, 73, 365
Divisors of 448 :
The positive integer divisors of 448 that completely divides 448 are.
1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448
Divisors of 940 :
The positive integer divisors of 940 that completely divides 940 are.
1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940
GCD of numbers is the greatest common divisor
So, the GCD (315, 365, 448, 940) = 1.
Given numbers are 315, 365, 448, 940
The list of prime factors of all numbers are
Prime factors of 315 are 3 x 3 x 5 x 7
Prime factors of 365 are 5 x 73
Prime factors of 448 are 2 x 2 x 2 x 2 x 2 x 2 x 7
Prime factors of 940 are 2 x 2 x 5 x 47
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 315, 365, 448, 940
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(315, 365) = 22995
GCD(315, 365) = ( 315 x 365 ) / 22995
= 315 / 365
= 315
Step2:
LCM(5, 448) = 2240
GCD(5, 448) = ( 5 x 448 ) / 2240
= 5 / 448
= 5
Step3:
LCM(1, 940) = 940
GCD(1, 940) = ( 1 x 940 ) / 940
= 1 / 940
= 1
So, Greatest Common Divisor of 315, 365, 448, 940 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 315, 365, 448, 940
The greatest common divisor of numbers 315, 365, 448, 940 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 315, 365, 448, 940 is 1.
1. What is the GCD of 315, 365, 448, 940?
GCD of given numbers 315, 365, 448, 940 is 1
2. How to calculate the greatest common divisor of 315, 365, 448, 940?
We can find the highest common divisor of 315, 365, 448, 940 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, 365, 448, 940 i.e 1.
3. How can I use the GCD of 315, 365, 448, 940Calculator?
Out the numbers 315, 365, 448, 940 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.