Online GCD Calculator is useful to find the GCD of 320, 765, 675, 995 quickly. Get the easiest ways to solve the greatest common divisor of 320, 765, 675, 995 i.e 5 in different methods as follows.
Given Input numbers are 320, 765, 675, 995
In the factoring method, we have to find the divisors of all numbers
Divisors of 320 :
The positive integer divisors of 320 that completely divides 320 are.
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320
Divisors of 765 :
The positive integer divisors of 765 that completely divides 765 are.
1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765
Divisors of 675 :
The positive integer divisors of 675 that completely divides 675 are.
1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675
Divisors of 995 :
The positive integer divisors of 995 that completely divides 995 are.
1, 5, 199, 995
GCD of numbers is the greatest common divisor
So, the GCD (320, 765, 675, 995) = 5.
Given numbers are 320, 765, 675, 995
The list of prime factors of all numbers are
Prime factors of 320 are 2 x 2 x 2 x 2 x 2 x 2 x 5
Prime factors of 765 are 3 x 3 x 5 x 17
Prime factors of 675 are 3 x 3 x 3 x 5 x 5
Prime factors of 995 are 5 x 199
The highest common occurrence is 51
Therefore, GCD of 320, 765, 675, 995 is 5.
Given numbers are 320, 765, 675, 995
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(320, 765) = 48960
GCD(320, 765) = ( 320 x 765 ) / 48960
= 320 / 765
= 320
Step2:
LCM(5, 675) = 675
GCD(5, 675) = ( 5 x 675 ) / 675
= 5 / 675
= 5
Step3:
LCM(5, 995) = 995
GCD(5, 995) = ( 5 x 995 ) / 995
= 5 / 995
= 5
So, Greatest Common Divisor of 320, 765, 675, 995 is 5
Here are some samples of GCD of Numbers calculations.
Given numbers are 320, 765, 675, 995
The greatest common divisor of numbers 320, 765, 675, 995 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 320, 765, 675, 995 is 5.
1. What is the GCD of 320, 765, 675, 995?
GCD of given numbers 320, 765, 675, 995 is 5
2. How to calculate the greatest common divisor of 320, 765, 675, 995?
We can find the highest common divisor of 320, 765, 675, 995 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 320, 765, 675, 995 i.e 5.
3. How can I use the GCD of 320, 765, 675, 995Calculator?
Out the numbers 320, 765, 675, 995 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.