GCD of 699, 960, 399 Calculator

Given Input numbers are 699, 960, 399

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

Divisors of 699

List of positive integer divisors of 699 that divides 699 without a remainder.

1, 3, 233, 699

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

Divisors of 399

List of positive integer divisors of 399 that divides 399 without a remainder.

1, 3, 7, 19, 21, 57, 133, 399

Greatest Common Divisior

We found the divisors of 699, 960, 399 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 699, 960, 399 is 3.

Therefore, GCD of numbers 699, 960, 399 is 3

Given Input Data is 699, 960, 399

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

Prime Factorization of 699 is 3 x 233

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

Prime Factorization of 399 is 3 x 7 x 19

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(699, 960) = 223680

GCD(699, 960) = ( 699 x 960 ) / 223680

GCD(699, 960) = 671040 / 223680

GCD(699, 960) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 399

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

LCM(3, 399) = 399

GCD(3, 399) = ( 3 x 399 ) / 399

GCD(3, 399) = 1197 / 399

GCD(3, 399) = 3

GCD of 699, 960, 399 is 3

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1. What is the GCD of 699, 960, 399?

GCD of 699, 960, 399 is 3

2. Where do I get the detailed procedure to find GCD of 699, 960, 399?

You can find a detailed procedure to find GCD of 699, 960, 399 on our page.

3. How to find GCD of 699, 960, 399 on a calculator?

You can find the GCD of 699, 960, 399 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.