GCD of 31, 349, 809, 144 Calculator

Given Input numbers are 31, 349, 809, 144

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

Divisors of 31

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

1, 31

Divisors of 349

List of positive integer divisors of 349 that divides 349 without a remainder.

1, 349

Divisors of 809

List of positive integer divisors of 809 that divides 809 without a remainder.

1, 809

Divisors of 144

List of positive integer divisors of 144 that divides 144 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

Greatest Common Divisior

We found the divisors of 31, 349, 809, 144 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 31, 349, 809, 144 is 1.

Therefore, GCD of numbers 31, 349, 809, 144 is 1

Given Input Data is 31, 349, 809, 144

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

Prime Factorization of 31 is 31

Prime Factorization of 349 is 349

Prime Factorization of 809 is 809

Prime Factorization of 144 is 2 x 2 x 2 x 2 x 3 x 3

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(31, 349) = 10819

GCD(31, 349) = ( 31 x 349 ) / 10819

GCD(31, 349) = 10819 / 10819

GCD(31, 349) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 809

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

LCM(1, 809) = 809

GCD(1, 809) = ( 1 x 809 ) / 809

GCD(1, 809) = 809 / 809

GCD(1, 809) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 144

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

LCM(1, 144) = 144

GCD(1, 144) = ( 1 x 144 ) / 144

GCD(1, 144) = 144 / 144

GCD(1, 144) = 1

GCD of 31, 349, 809, 144 is 1

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• GCD of 11, 395, 524, 778
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1. What is the GCD of 31, 349, 809, 144?

GCD of 31, 349, 809, 144 is 1

2. Where do I get the detailed procedure to find GCD of 31, 349, 809, 144?

You can find a detailed procedure to find GCD of 31, 349, 809, 144 on our page.

3. How to find GCD of 31, 349, 809, 144 on a calculator?

You can find the GCD of 31, 349, 809, 144 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.