GCD of 130, 906, 221, 362 Calculator

Given Input numbers are 130, 906, 221, 362

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

Divisors of 130

List of positive integer divisors of 130 that divides 130 without a remainder.

1, 2, 5, 10, 13, 26, 65, 130

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 221

List of positive integer divisors of 221 that divides 221 without a remainder.

1, 13, 17, 221

Divisors of 362

List of positive integer divisors of 362 that divides 362 without a remainder.

1, 2, 181, 362

Greatest Common Divisior

We found the divisors of 130, 906, 221, 362 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 130, 906, 221, 362 is 1.

Therefore, GCD of numbers 130, 906, 221, 362 is 1

Given Input Data is 130, 906, 221, 362

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

Prime Factorization of 130 is 2 x 5 x 13

Prime Factorization of 906 is 2 x 3 x 151

Prime Factorization of 221 is 13 x 17

Prime Factorization of 362 is 2 x 181

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(130, 906) = 58890

GCD(130, 906) = ( 130 x 906 ) / 58890

GCD(130, 906) = 117780 / 58890

GCD(130, 906) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 221

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

LCM(2, 221) = 442

GCD(2, 221) = ( 2 x 221 ) / 442

GCD(2, 221) = 442 / 442

GCD(2, 221) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 362

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

LCM(1, 362) = 362

GCD(1, 362) = ( 1 x 362 ) / 362

GCD(1, 362) = 362 / 362

GCD(1, 362) = 1

GCD of 130, 906, 221, 362 is 1

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1. What is the GCD of 130, 906, 221, 362?

GCD of 130, 906, 221, 362 is 1

2. Where do I get the detailed procedure to find GCD of 130, 906, 221, 362?

You can find a detailed procedure to find GCD of 130, 906, 221, 362 on our page.

3. How to find GCD of 130, 906, 221, 362 on a calculator?

You can find the GCD of 130, 906, 221, 362 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.