GCD of 320, 824, 960 Calculator

Given Input numbers are 320, 824, 960

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 320

List of positive integer divisors of 320 that divides 320 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

Divisors of 824

List of positive integer divisors of 824 that divides 824 without a remainder.

1, 2, 4, 8, 103, 206, 412, 824

Divisors of 960

List of positive integer divisors of 960 that divides 960 without a remainder.

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

Greatest Common Divisior

We found the divisors of 320, 824, 960 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 320, 824, 960 is 8.

Therefore, GCD of numbers 320, 824, 960 is 8

Given Input Data is 320, 824, 960

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 320 is 2 x 2 x 2 x 2 x 2 x 2 x 5

Prime Factorization of 824 is 2 x 2 x 2 x 103

Prime Factorization of 960 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

Highest common occurrences in the given inputs are 2³

Multiplying them we get the GCD as 8

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(320, 824) = 32960

GCD(320, 824) = ( 320 x 824 ) / 32960

GCD(320, 824) = 263680 / 32960

GCD(320, 824) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 960

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(8, 960) = 960

GCD(8, 960) = ( 8 x 960 ) / 960

GCD(8, 960) = 7680 / 960

GCD(8, 960) = 8

GCD of 320, 824, 960 is 8

Here are some samples of GCD of Numbers calculations.

• GCD of 123, 396, 130
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1. What is the GCD of 320, 824, 960?

GCD of 320, 824, 960 is 8

2. Where do I get the detailed procedure to find GCD of 320, 824, 960?

You can find a detailed procedure to find GCD of 320, 824, 960 on our page.

3. How to find GCD of 320, 824, 960 on a calculator?

You can find the GCD of 320, 824, 960 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.