Online GCD Calculator is useful to find the GCD of 960, 480, 780, 815 quickly. Get the easiest ways to solve the greatest common divisor of 960, 480, 780, 815 i.e 5 in different methods as follows.
Given Input numbers are 960, 480, 780, 815
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 480 :
The positive integer divisors of 480 that completely divides 480 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480
Divisors of 780 :
The positive integer divisors of 780 that completely divides 780 are.
1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780
Divisors of 815 :
The positive integer divisors of 815 that completely divides 815 are.
1, 5, 163, 815
GCD of numbers is the greatest common divisor
So, the GCD (960, 480, 780, 815) = 5.
Given numbers are 960, 480, 780, 815
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 480 are 2 x 2 x 2 x 2 x 2 x 3 x 5
Prime factors of 780 are 2 x 2 x 3 x 5 x 13
Prime factors of 815 are 5 x 163
The highest common occurrence is 51
Therefore, GCD of 960, 480, 780, 815 is 5.
Given numbers are 960, 480, 780, 815
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(960, 480) = 960
GCD(960, 480) = ( 960 x 480 ) / 960
= 960 / 480
= 960
Step2:
LCM(480, 780) = 6240
GCD(480, 780) = ( 480 x 780 ) / 6240
= 480 / 780
= 480
Step3:
LCM(60, 815) = 9780
GCD(60, 815) = ( 60 x 815 ) / 9780
= 60 / 815
= 60
So, Greatest Common Divisor of 960, 480, 780, 815 is 5
Here are some samples of GCD of Numbers calculations.
Given numbers are 960, 480, 780, 815
The greatest common divisor of numbers 960, 480, 780, 815 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 960, 480, 780, 815 is 5.
1. What is the GCD of 960, 480, 780, 815?
GCD of given numbers 960, 480, 780, 815 is 5
2. How to calculate the greatest common divisor of 960, 480, 780, 815?
We can find the highest common divisor of 960, 480, 780, 815 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, 480, 780, 815 i.e 5.
3. How can I use the GCD of 960, 480, 780, 815Calculator?
Out the numbers 960, 480, 780, 815 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.