Online GCD Calculator is useful to find the GCD of 960, 297, 500, 365 quickly. Get the easiest ways to solve the greatest common divisor of 960, 297, 500, 365 i.e 1 in different methods as follows.
Given Input numbers are 960, 297, 500, 365
In the factoring method, we have to find the divisors of all numbers
Divisors of 960 :
The positive integer divisors of 960 that completely divides 960 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
Divisors of 297 :
The positive integer divisors of 297 that completely divides 297 are.
1, 3, 9, 11, 27, 33, 99, 297
Divisors of 500 :
The positive integer divisors of 500 that completely divides 500 are.
1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500
Divisors of 365 :
The positive integer divisors of 365 that completely divides 365 are.
1, 5, 73, 365
GCD of numbers is the greatest common divisor
So, the GCD (960, 297, 500, 365) = 1.
Given numbers are 960, 297, 500, 365
The list of prime factors of all numbers are
Prime factors of 960 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5
Prime factors of 297 are 3 x 3 x 3 x 11
Prime factors of 500 are 2 x 2 x 5 x 5 x 5
Prime factors of 365 are 5 x 73
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 960, 297, 500, 365
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(960, 297) = 95040
GCD(960, 297) = ( 960 x 297 ) / 95040
= 960 / 297
= 960
Step2:
LCM(3, 500) = 1500
GCD(3, 500) = ( 3 x 500 ) / 1500
= 3 / 500
= 3
Step3:
LCM(1, 365) = 365
GCD(1, 365) = ( 1 x 365 ) / 365
= 1 / 365
= 1
So, Greatest Common Divisor of 960, 297, 500, 365 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 960, 297, 500, 365
The greatest common divisor of numbers 960, 297, 500, 365 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 960, 297, 500, 365 is 1.
1. What is the GCD of 960, 297, 500, 365?
GCD of given numbers 960, 297, 500, 365 is 1
2. How to calculate the greatest common divisor of 960, 297, 500, 365?
We can find the highest common divisor of 960, 297, 500, 365 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 960, 297, 500, 365 i.e 1.
3. How can I use the GCD of 960, 297, 500, 365Calculator?
Out the numbers 960, 297, 500, 365 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.