GCD of 960, 232, 99, 424 Calculator

Given Input numbers are 960, 232, 99, 424

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

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 232

List of positive integer divisors of 232 that divides 232 without a remainder.

1, 2, 4, 8, 29, 58, 116, 232

Divisors of 99

List of positive integer divisors of 99 that divides 99 without a remainder.

1, 3, 9, 11, 33, 99

Divisors of 424

List of positive integer divisors of 424 that divides 424 without a remainder.

1, 2, 4, 8, 53, 106, 212, 424

Greatest Common Divisior

We found the divisors of 960, 232, 99, 424 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 960, 232, 99, 424 is 1.

Therefore, GCD of numbers 960, 232, 99, 424 is 1

Given Input Data is 960, 232, 99, 424

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

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

Prime Factorization of 232 is 2 x 2 x 2 x 29

Prime Factorization of 99 is 3 x 3 x 11

Prime Factorization of 424 is 2 x 2 x 2 x 53

The above numbers do not have any common prime factor. So GCD is 1

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(960, 232) = 27840

GCD(960, 232) = ( 960 x 232 ) / 27840

GCD(960, 232) = 222720 / 27840

GCD(960, 232) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 99

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

LCM(8, 99) = 792

GCD(8, 99) = ( 8 x 99 ) / 792

GCD(8, 99) = 792 / 792

GCD(8, 99) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 424

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

LCM(1, 424) = 424

GCD(1, 424) = ( 1 x 424 ) / 424

GCD(1, 424) = 424 / 424

GCD(1, 424) = 1

GCD of 960, 232, 99, 424 is 1

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1. What is the GCD of 960, 232, 99, 424?

GCD of 960, 232, 99, 424 is 1

2. Where do I get the detailed procedure to find GCD of 960, 232, 99, 424?

You can find a detailed procedure to find GCD of 960, 232, 99, 424 on our page.

3. How to find GCD of 960, 232, 99, 424 on a calculator?

You can find the GCD of 960, 232, 99, 424 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.