Online GCD Calculator is useful to find the GCD of 365, 540, 615, 665 quickly. Get the easiest ways to solve the greatest common divisor of 365, 540, 615, 665 i.e 5 in different methods as follows.
Given Input numbers are 365, 540, 615, 665
In the factoring method, we have to find the divisors of all numbers
Divisors of 365 :
The positive integer divisors of 365 that completely divides 365 are.
1, 5, 73, 365
Divisors of 540 :
The positive integer divisors of 540 that completely divides 540 are.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540
Divisors of 615 :
The positive integer divisors of 615 that completely divides 615 are.
1, 3, 5, 15, 41, 123, 205, 615
Divisors of 665 :
The positive integer divisors of 665 that completely divides 665 are.
1, 5, 7, 19, 35, 95, 133, 665
GCD of numbers is the greatest common divisor
So, the GCD (365, 540, 615, 665) = 5.
Given numbers are 365, 540, 615, 665
The list of prime factors of all numbers are
Prime factors of 365 are 5 x 73
Prime factors of 540 are 2 x 2 x 3 x 3 x 3 x 5
Prime factors of 615 are 3 x 5 x 41
Prime factors of 665 are 5 x 7 x 19
The highest common occurrence is 51
Therefore, GCD of 365, 540, 615, 665 is 5.
Given numbers are 365, 540, 615, 665
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(365, 540) = 39420
GCD(365, 540) = ( 365 x 540 ) / 39420
= 365 / 540
= 365
Step2:
LCM(5, 615) = 615
GCD(5, 615) = ( 5 x 615 ) / 615
= 5 / 615
= 5
Step3:
LCM(5, 665) = 665
GCD(5, 665) = ( 5 x 665 ) / 665
= 5 / 665
= 5
So, Greatest Common Divisor of 365, 540, 615, 665 is 5
Here are some samples of GCD of Numbers calculations.
Given numbers are 365, 540, 615, 665
The greatest common divisor of numbers 365, 540, 615, 665 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 365, 540, 615, 665 is 5.
1. What is the GCD of 365, 540, 615, 665?
GCD of given numbers 365, 540, 615, 665 is 5
2. How to calculate the greatest common divisor of 365, 540, 615, 665?
We can find the highest common divisor of 365, 540, 615, 665 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 365, 540, 615, 665 i.e 5.
3. How can I use the GCD of 365, 540, 615, 665Calculator?
Out the numbers 365, 540, 615, 665 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.