Online GCD Calculator is useful to find the GCD of 856, 768, 480 quickly. Get the easiest ways to solve the greatest common divisor of 856, 768, 480 i.e 8 in different methods as follows.
Given Input numbers are 856, 768, 480
In the factoring method, we have to find the divisors of all numbers
Divisors of 856 :
The positive integer divisors of 856 that completely divides 856 are.
1, 2, 4, 8, 107, 214, 428, 856
Divisors of 768 :
The positive integer divisors of 768 that completely divides 768 are.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
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
GCD of numbers is the greatest common divisor
So, the GCD (856, 768, 480) = 8.
Given numbers are 856, 768, 480
The list of prime factors of all numbers are
Prime factors of 856 are 2 x 2 x 2 x 107
Prime factors of 768 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3
Prime factors of 480 are 2 x 2 x 2 x 2 x 2 x 3 x 5
The highest common occurrence is 23
Therefore, GCD of 856, 768, 480 is 8.
Given numbers are 856, 768, 480
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(856, 768) = 82176
GCD(856, 768) = ( 856 x 768 ) / 82176
= 856 / 768
= 856
Step2:
LCM(8, 480) = 480
GCD(8, 480) = ( 8 x 480 ) / 480
= 8 / 480
= 8
So, Greatest Common Divisor of 856, 768, 480 is 8
Here are some samples of GCD of Numbers calculations.
Given numbers are 856, 768, 480
The greatest common divisor of numbers 856, 768, 480 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 856, 768, 480 is 8.
1. What is the GCD of 856, 768, 480?
GCD of given numbers 856, 768, 480 is 8
2. How to calculate the greatest common divisor of 856, 768, 480?
We can find the highest common divisor of 856, 768, 480 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 856, 768, 480 i.e 8.
3. How can I use the GCD of 856, 768, 480Calculator?
Out the numbers 856, 768, 480 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.