GCD of 494, 160, 24, 407 Calculator

Given Input numbers are 494, 160, 24, 407

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

Divisors of 494

List of positive integer divisors of 494 that divides 494 without a remainder.

1, 2, 13, 19, 26, 38, 247, 494

Divisors of 160

List of positive integer divisors of 160 that divides 160 without a remainder.

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

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 407

List of positive integer divisors of 407 that divides 407 without a remainder.

1, 11, 37, 407

Greatest Common Divisior

We found the divisors of 494, 160, 24, 407 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 494, 160, 24, 407 is 1.

Therefore, GCD of numbers 494, 160, 24, 407 is 1

Given Input Data is 494, 160, 24, 407

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

Prime Factorization of 494 is 2 x 13 x 19

Prime Factorization of 160 is 2 x 2 x 2 x 2 x 2 x 5

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

Prime Factorization of 407 is 11 x 37

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(494, 160) = 39520

GCD(494, 160) = ( 494 x 160 ) / 39520

GCD(494, 160) = 79040 / 39520

GCD(494, 160) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 24

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

LCM(2, 24) = 24

GCD(2, 24) = ( 2 x 24 ) / 24

GCD(2, 24) = 48 / 24

GCD(2, 24) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 407

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

LCM(2, 407) = 814

GCD(2, 407) = ( 2 x 407 ) / 814

GCD(2, 407) = 814 / 814

GCD(2, 407) = 1

GCD of 494, 160, 24, 407 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 771, 293, 98, 495
• GCD of 697, 122, 82, 288
• GCD of 839, 742, 58, 522
• GCD of 433, 472, 54, 829
• GCD of 324, 190, 62, 776

1. What is the GCD of 494, 160, 24, 407?

GCD of 494, 160, 24, 407 is 1

2. Where do I get the detailed procedure to find GCD of 494, 160, 24, 407?

You can find a detailed procedure to find GCD of 494, 160, 24, 407 on our page.

3. How to find GCD of 494, 160, 24, 407 on a calculator?

You can find the GCD of 494, 160, 24, 407 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.