GCD of 464, 348, 31, 493 Calculator

Given Input numbers are 464, 348, 31, 493

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

Divisors of 464

List of positive integer divisors of 464 that divides 464 without a remainder.

1, 2, 4, 8, 16, 29, 58, 116, 232, 464

Divisors of 348

List of positive integer divisors of 348 that divides 348 without a remainder.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

Divisors of 31

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

1, 31

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 464, 348, 31, 493 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 464, 348, 31, 493 is 1.

Therefore, GCD of numbers 464, 348, 31, 493 is 1

Given Input Data is 464, 348, 31, 493

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

Prime Factorization of 464 is 2 x 2 x 2 x 2 x 29

Prime Factorization of 348 is 2 x 2 x 3 x 29

Prime Factorization of 31 is 31

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(464, 348) = 1392

GCD(464, 348) = ( 464 x 348 ) / 1392

GCD(464, 348) = 161472 / 1392

GCD(464, 348) = 116

Step2:

Here we consider the GCD from the above i.e. 116 as first number and the next as 31

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

LCM(116, 31) = 3596

GCD(116, 31) = ( 116 x 31 ) / 3596

GCD(116, 31) = 3596 / 3596

GCD(116, 31) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 493

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

LCM(1, 493) = 493

GCD(1, 493) = ( 1 x 493 ) / 493

GCD(1, 493) = 493 / 493

GCD(1, 493) = 1

GCD of 464, 348, 31, 493 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 706, 182, 47, 348
• GCD of 363, 659, 62, 454
• GCD of 651, 834, 84, 246
• GCD of 336, 201, 51, 832
• GCD of 627, 844, 12, 525

1. What is the GCD of 464, 348, 31, 493?

GCD of 464, 348, 31, 493 is 1

2. Where do I get the detailed procedure to find GCD of 464, 348, 31, 493?

You can find a detailed procedure to find GCD of 464, 348, 31, 493 on our page.

3. How to find GCD of 464, 348, 31, 493 on a calculator?

You can find the GCD of 464, 348, 31, 493 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.