GCD of 31, 574, 105, 441 Calculator

Given Input numbers are 31, 574, 105, 441

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 574

List of positive integer divisors of 574 that divides 574 without a remainder.

1, 2, 7, 14, 41, 82, 287, 574

Divisors of 105

List of positive integer divisors of 105 that divides 105 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105

Divisors of 441

List of positive integer divisors of 441 that divides 441 without a remainder.

1, 3, 7, 9, 21, 49, 63, 147, 441

Greatest Common Divisior

We found the divisors of 31, 574, 105, 441 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 31, 574, 105, 441 is 1.

Therefore, GCD of numbers 31, 574, 105, 441 is 1

Given Input Data is 31, 574, 105, 441

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

Prime Factorization of 31 is 31

Prime Factorization of 574 is 2 x 7 x 41

Prime Factorization of 105 is 3 x 5 x 7

Prime Factorization of 441 is 3 x 3 x 7 x 7

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, 574) = 17794

GCD(31, 574) = ( 31 x 574 ) / 17794

GCD(31, 574) = 17794 / 17794

GCD(31, 574) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 105

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

LCM(1, 105) = 105

GCD(1, 105) = ( 1 x 105 ) / 105

GCD(1, 105) = 105 / 105

GCD(1, 105) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 441

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

LCM(1, 441) = 441

GCD(1, 441) = ( 1 x 441 ) / 441

GCD(1, 441) = 441 / 441

GCD(1, 441) = 1

GCD of 31, 574, 105, 441 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 59, 854, 636, 416
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• GCD of 72, 533, 488, 405
• GCD of 40, 256, 971, 976
• GCD of 76, 842, 659, 960

1. What is the GCD of 31, 574, 105, 441?

GCD of 31, 574, 105, 441 is 1

2. Where do I get the detailed procedure to find GCD of 31, 574, 105, 441?

You can find a detailed procedure to find GCD of 31, 574, 105, 441 on our page.

3. How to find GCD of 31, 574, 105, 441 on a calculator?

You can find the GCD of 31, 574, 105, 441 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.