GCD of 381, 261, 585, 490 Calculator

Given Input numbers are 381, 261, 585, 490

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

Divisors of 381

List of positive integer divisors of 381 that divides 381 without a remainder.

1, 3, 127, 381

Divisors of 261

List of positive integer divisors of 261 that divides 261 without a remainder.

1, 3, 9, 29, 87, 261

Divisors of 585

List of positive integer divisors of 585 that divides 585 without a remainder.

1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

Divisors of 490

List of positive integer divisors of 490 that divides 490 without a remainder.

1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

Greatest Common Divisior

We found the divisors of 381, 261, 585, 490 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 381, 261, 585, 490 is 1.

Therefore, GCD of numbers 381, 261, 585, 490 is 1

Given Input Data is 381, 261, 585, 490

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

Prime Factorization of 381 is 3 x 127

Prime Factorization of 261 is 3 x 3 x 29

Prime Factorization of 585 is 3 x 3 x 5 x 13

Prime Factorization of 490 is 2 x 5 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(381, 261) = 33147

GCD(381, 261) = ( 381 x 261 ) / 33147

GCD(381, 261) = 99441 / 33147

GCD(381, 261) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 585

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

LCM(3, 585) = 585

GCD(3, 585) = ( 3 x 585 ) / 585

GCD(3, 585) = 1755 / 585

GCD(3, 585) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 490

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

LCM(3, 490) = 1470

GCD(3, 490) = ( 3 x 490 ) / 1470

GCD(3, 490) = 1470 / 1470

GCD(3, 490) = 1

GCD of 381, 261, 585, 490 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 550, 973, 858, 169
• GCD of 219, 747, 736, 467
• GCD of 533, 123, 613, 888
• GCD of 676, 927, 976, 453
• GCD of 307, 756, 607, 886

1. What is the GCD of 381, 261, 585, 490?

GCD of 381, 261, 585, 490 is 1

2. Where do I get the detailed procedure to find GCD of 381, 261, 585, 490?

You can find a detailed procedure to find GCD of 381, 261, 585, 490 on our page.

3. How to find GCD of 381, 261, 585, 490 on a calculator?

You can find the GCD of 381, 261, 585, 490 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.