GCD of 490, 321, 71, 961 Calculator

Given Input numbers are 490, 321, 71, 961

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 321

List of positive integer divisors of 321 that divides 321 without a remainder.

1, 3, 107, 321

Divisors of 71

List of positive integer divisors of 71 that divides 71 without a remainder.

1, 71

Divisors of 961

List of positive integer divisors of 961 that divides 961 without a remainder.

1, 31, 961

Greatest Common Divisior

We found the divisors of 490, 321, 71, 961 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 490, 321, 71, 961 is 1.

Therefore, GCD of numbers 490, 321, 71, 961 is 1

Given Input Data is 490, 321, 71, 961

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 321 is 3 x 107

Prime Factorization of 71 is 71

Prime Factorization of 961 is 31 x 31

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, 321) = 157290

GCD(490, 321) = ( 490 x 321 ) / 157290

GCD(490, 321) = 157290 / 157290

GCD(490, 321) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 71

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

LCM(1, 71) = 71

GCD(1, 71) = ( 1 x 71 ) / 71

GCD(1, 71) = 71 / 71

GCD(1, 71) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 961

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

LCM(1, 961) = 961

GCD(1, 961) = ( 1 x 961 ) / 961

GCD(1, 961) = 961 / 961

GCD(1, 961) = 1

GCD of 490, 321, 71, 961 is 1

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1. What is the GCD of 490, 321, 71, 961?

GCD of 490, 321, 71, 961 is 1

2. Where do I get the detailed procedure to find GCD of 490, 321, 71, 961?

You can find a detailed procedure to find GCD of 490, 321, 71, 961 on our page.

3. How to find GCD of 490, 321, 71, 961 on a calculator?

You can find the GCD of 490, 321, 71, 961 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.