GCD of 69, 638, 285, 490 Calculator

Given Input numbers are 69, 638, 285, 490

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

Divisors of 69

List of positive integer divisors of 69 that divides 69 without a remainder.

1, 3, 23, 69

Divisors of 638

List of positive integer divisors of 638 that divides 638 without a remainder.

1, 2, 11, 22, 29, 58, 319, 638

Divisors of 285

List of positive integer divisors of 285 that divides 285 without a remainder.

1, 3, 5, 15, 19, 57, 95, 285

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 69, 638, 285, 490 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 69, 638, 285, 490 is 1.

Therefore, GCD of numbers 69, 638, 285, 490 is 1

Given Input Data is 69, 638, 285, 490

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

Prime Factorization of 69 is 3 x 23

Prime Factorization of 638 is 2 x 11 x 29

Prime Factorization of 285 is 3 x 5 x 19

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(69, 638) = 44022

GCD(69, 638) = ( 69 x 638 ) / 44022

GCD(69, 638) = 44022 / 44022

GCD(69, 638) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 285

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

LCM(1, 285) = 285

GCD(1, 285) = ( 1 x 285 ) / 285

GCD(1, 285) = 285 / 285

GCD(1, 285) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 490

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

LCM(1, 490) = 490

GCD(1, 490) = ( 1 x 490 ) / 490

GCD(1, 490) = 490 / 490

GCD(1, 490) = 1

GCD of 69, 638, 285, 490 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 15, 755, 802, 585
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• GCD of 37, 691, 848, 187

1. What is the GCD of 69, 638, 285, 490?

GCD of 69, 638, 285, 490 is 1

2. Where do I get the detailed procedure to find GCD of 69, 638, 285, 490?

You can find a detailed procedure to find GCD of 69, 638, 285, 490 on our page.

3. How to find GCD of 69, 638, 285, 490 on a calculator?

You can find the GCD of 69, 638, 285, 490 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.