GCD of 424, 454, 31, 736 Calculator

Given Input numbers are 424, 454, 31, 736

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 454

List of positive integer divisors of 454 that divides 454 without a remainder.

1, 2, 227, 454

Divisors of 31

List of positive integer divisors of 31 that divides 31 without a remainder.

1, 31

Divisors of 736

List of positive integer divisors of 736 that divides 736 without a remainder.

1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

Greatest Common Divisior

We found the divisors of 424, 454, 31, 736 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 424, 454, 31, 736 is 1.

Therefore, GCD of numbers 424, 454, 31, 736 is 1

Given Input Data is 424, 454, 31, 736

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 454 is 2 x 227

Prime Factorization of 31 is 31

Prime Factorization of 736 is 2 x 2 x 2 x 2 x 2 x 23

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, 454) = 96248

GCD(424, 454) = ( 424 x 454 ) / 96248

GCD(424, 454) = 192496 / 96248

GCD(424, 454) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 31

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

LCM(2, 31) = 62

GCD(2, 31) = ( 2 x 31 ) / 62

GCD(2, 31) = 62 / 62

GCD(2, 31) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 736

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

LCM(1, 736) = 736

GCD(1, 736) = ( 1 x 736 ) / 736

GCD(1, 736) = 736 / 736

GCD(1, 736) = 1

GCD of 424, 454, 31, 736 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 410, 820, 12, 928
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• GCD of 274, 680, 32, 442

1. What is the GCD of 424, 454, 31, 736?

GCD of 424, 454, 31, 736 is 1

2. Where do I get the detailed procedure to find GCD of 424, 454, 31, 736?

You can find a detailed procedure to find GCD of 424, 454, 31, 736 on our page.

3. How to find GCD of 424, 454, 31, 736 on a calculator?

You can find the GCD of 424, 454, 31, 736 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.