GCD of 424, 172, 78, 493 Calculator

Given Input numbers are 424, 172, 78, 493

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

Divisors of 424

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

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

Divisors of 172

List of positive integer divisors of 172 that divides 172 without a remainder.

1, 2, 4, 43, 86, 172

Divisors of 78

List of positive integer divisors of 78 that divides 78 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78

Divisors of 493

List of positive integer divisors of 493 that divides 493 without a remainder.

1, 17, 29, 493

Greatest Common Divisior

We found the divisors of 424, 172, 78, 493 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 424, 172, 78, 493 is 1.

Therefore, GCD of numbers 424, 172, 78, 493 is 1

Given Input Data is 424, 172, 78, 493

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

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

Prime Factorization of 172 is 2 x 2 x 43

Prime Factorization of 78 is 2 x 3 x 13

Prime Factorization of 493 is 17 x 29

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(424, 172) = 18232

GCD(424, 172) = ( 424 x 172 ) / 18232

GCD(424, 172) = 72928 / 18232

GCD(424, 172) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 78

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

LCM(4, 78) = 156

GCD(4, 78) = ( 4 x 78 ) / 156

GCD(4, 78) = 312 / 156

GCD(4, 78) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 493

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

LCM(2, 493) = 986

GCD(2, 493) = ( 2 x 493 ) / 986

GCD(2, 493) = 986 / 986

GCD(2, 493) = 1

GCD of 424, 172, 78, 493 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 209, 361, 27, 257
• GCD of 705, 796, 10, 238
• GCD of 523, 707, 14, 204
• GCD of 505, 566, 99, 206
• GCD of 170, 755, 80, 359

1. What is the GCD of 424, 172, 78, 493?

GCD of 424, 172, 78, 493 is 1

2. Where do I get the detailed procedure to find GCD of 424, 172, 78, 493?

You can find a detailed procedure to find GCD of 424, 172, 78, 493 on our page.

3. How to find GCD of 424, 172, 78, 493 on a calculator?

You can find the GCD of 424, 172, 78, 493 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.