GCD of 490, 412, 11, 906 Calculator

Given Input numbers are 490, 412, 11, 906

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 412

List of positive integer divisors of 412 that divides 412 without a remainder.

1, 2, 4, 103, 206, 412

Divisors of 11

List of positive integer divisors of 11 that divides 11 without a remainder.

1, 11

Divisors of 906

List of positive integer divisors of 906 that divides 906 without a remainder.

1, 2, 3, 6, 151, 302, 453, 906

Greatest Common Divisior

We found the divisors of 490, 412, 11, 906 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 490, 412, 11, 906 is 1.

Therefore, GCD of numbers 490, 412, 11, 906 is 1

Given Input Data is 490, 412, 11, 906

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 412 is 2 x 2 x 103

Prime Factorization of 11 is 11

Prime Factorization of 906 is 2 x 3 x 151

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, 412) = 100940

GCD(490, 412) = ( 490 x 412 ) / 100940

GCD(490, 412) = 201880 / 100940

GCD(490, 412) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 11

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

LCM(2, 11) = 22

GCD(2, 11) = ( 2 x 11 ) / 22

GCD(2, 11) = 22 / 22

GCD(2, 11) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 906

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

LCM(1, 906) = 906

GCD(1, 906) = ( 1 x 906 ) / 906

GCD(1, 906) = 906 / 906

GCD(1, 906) = 1

GCD of 490, 412, 11, 906 is 1

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1. What is the GCD of 490, 412, 11, 906?

GCD of 490, 412, 11, 906 is 1

2. Where do I get the detailed procedure to find GCD of 490, 412, 11, 906?

You can find a detailed procedure to find GCD of 490, 412, 11, 906 on our page.

3. How to find GCD of 490, 412, 11, 906 on a calculator?

You can find the GCD of 490, 412, 11, 906 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.