GCD of 906, 649, 41, 490 Calculator

Given Input numbers are 906, 649, 41, 490

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

Divisors of 906

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

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

Divisors of 649

List of positive integer divisors of 649 that divides 649 without a remainder.

1, 11, 59, 649

Divisors of 41

List of positive integer divisors of 41 that divides 41 without a remainder.

1, 41

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 906, 649, 41, 490 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 906, 649, 41, 490 is 1.

Therefore, GCD of numbers 906, 649, 41, 490 is 1

Given Input Data is 906, 649, 41, 490

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

Prime Factorization of 906 is 2 x 3 x 151

Prime Factorization of 649 is 11 x 59

Prime Factorization of 41 is 41

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(906, 649) = 587994

GCD(906, 649) = ( 906 x 649 ) / 587994

GCD(906, 649) = 587994 / 587994

GCD(906, 649) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 41

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

LCM(1, 41) = 41

GCD(1, 41) = ( 1 x 41 ) / 41

GCD(1, 41) = 41 / 41

GCD(1, 41) = 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 906, 649, 41, 490 is 1

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1. What is the GCD of 906, 649, 41, 490?

GCD of 906, 649, 41, 490 is 1

2. Where do I get the detailed procedure to find GCD of 906, 649, 41, 490?

You can find a detailed procedure to find GCD of 906, 649, 41, 490 on our page.

3. How to find GCD of 906, 649, 41, 490 on a calculator?

You can find the GCD of 906, 649, 41, 490 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.