GCD of 490, 902, 55, 363 Calculator

Given Input numbers are 490, 902, 55, 363

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

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

Divisors of 902

List of positive integer divisors of 902 that divides 902 without a remainder.

1, 2, 11, 22, 41, 82, 451, 902

Divisors of 55

List of positive integer divisors of 55 that divides 55 without a remainder.

1, 5, 11, 55

Divisors of 363

List of positive integer divisors of 363 that divides 363 without a remainder.

1, 3, 11, 33, 121, 363

Greatest Common Divisior

We found the divisors of 490, 902, 55, 363 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 490, 902, 55, 363 is 1.

Therefore, GCD of numbers 490, 902, 55, 363 is 1

Given Input Data is 490, 902, 55, 363

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

Prime Factorization of 490 is 2 x 5 x 7 x 7

Prime Factorization of 902 is 2 x 11 x 41

Prime Factorization of 55 is 5 x 11

Prime Factorization of 363 is 3 x 11 x 11

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(490, 902) = 220990

GCD(490, 902) = ( 490 x 902 ) / 220990

GCD(490, 902) = 441980 / 220990

GCD(490, 902) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 55

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

LCM(2, 55) = 110

GCD(2, 55) = ( 2 x 55 ) / 110

GCD(2, 55) = 110 / 110

GCD(2, 55) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 363

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

LCM(1, 363) = 363

GCD(1, 363) = ( 1 x 363 ) / 363

GCD(1, 363) = 363 / 363

GCD(1, 363) = 1

GCD of 490, 902, 55, 363 is 1

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• GCD of 434, 118, 26, 920
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• GCD of 621, 492, 36, 250

1. What is the GCD of 490, 902, 55, 363?

GCD of 490, 902, 55, 363 is 1

2. Where do I get the detailed procedure to find GCD of 490, 902, 55, 363?

You can find a detailed procedure to find GCD of 490, 902, 55, 363 on our page.

3. How to find GCD of 490, 902, 55, 363 on a calculator?

You can find the GCD of 490, 902, 55, 363 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.