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GCD of 856, 768, 480 Calculator

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


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.

GCD of

How to Find GCD of Numbers 856, 768, 480 with Factoring?

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.

Find GCD of 856, 768, 480 using Prime Factorization

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.

Steps to Calculate GCD of 856, 768, 480 using LCM Formula

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

GCD of Numbers Calculation Examples

Greatest Common Divisor of 856, 768, 480

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.

FAQs on GCD of 856, 768, 480 Calculator

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.