GCD of 402, 960, 24, 496 Calculator

Given Input numbers are 402, 960, 24, 496

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

Divisors of 402

List of positive integer divisors of 402 that divides 402 without a remainder.

1, 2, 3, 6, 67, 134, 201, 402

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 24

List of positive integer divisors of 24 that divides 24 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24

Divisors of 496

List of positive integer divisors of 496 that divides 496 without a remainder.

1, 2, 4, 8, 16, 31, 62, 124, 248, 496

Greatest Common Divisior

We found the divisors of 402, 960, 24, 496 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 402, 960, 24, 496 is 2.

Therefore, GCD of numbers 402, 960, 24, 496 is 2

Given Input Data is 402, 960, 24, 496

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

Prime Factorization of 402 is 2 x 3 x 67

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

Prime Factorization of 24 is 2 x 2 x 2 x 3

Prime Factorization of 496 is 2 x 2 x 2 x 2 x 31

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(402, 960) = 64320

GCD(402, 960) = ( 402 x 960 ) / 64320

GCD(402, 960) = 385920 / 64320

GCD(402, 960) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 24

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

LCM(6, 24) = 24

GCD(6, 24) = ( 6 x 24 ) / 24

GCD(6, 24) = 144 / 24

GCD(6, 24) = 6

Step3:

Here we consider the GCD from the above i.e. 6 as first number and the next as 496

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

LCM(6, 496) = 1488

GCD(6, 496) = ( 6 x 496 ) / 1488

GCD(6, 496) = 2976 / 1488

GCD(6, 496) = 2

GCD of 402, 960, 24, 496 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 331, 690, 69, 144
• GCD of 818, 384, 62, 691
• GCD of 165, 265, 42, 989
• GCD of 644, 619, 33, 757
• GCD of 717, 613, 10, 582

1. What is the GCD of 402, 960, 24, 496?

GCD of 402, 960, 24, 496 is 2

2. Where do I get the detailed procedure to find GCD of 402, 960, 24, 496?

You can find a detailed procedure to find GCD of 402, 960, 24, 496 on our page.

3. How to find GCD of 402, 960, 24, 496 on a calculator?

You can find the GCD of 402, 960, 24, 496 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.