GCD of 461, 214, 873, 130 Calculator

Given Input numbers are 461, 214, 873, 130

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

Divisors of 461

List of positive integer divisors of 461 that divides 461 without a remainder.

1, 461

Divisors of 214

List of positive integer divisors of 214 that divides 214 without a remainder.

1, 2, 107, 214

Divisors of 873

List of positive integer divisors of 873 that divides 873 without a remainder.

1, 3, 9, 97, 291, 873

Divisors of 130

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

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

Greatest Common Divisior

We found the divisors of 461, 214, 873, 130 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 461, 214, 873, 130 is 1.

Therefore, GCD of numbers 461, 214, 873, 130 is 1

Given Input Data is 461, 214, 873, 130

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

Prime Factorization of 461 is 461

Prime Factorization of 214 is 2 x 107

Prime Factorization of 873 is 3 x 3 x 97

Prime Factorization of 130 is 2 x 5 x 13

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(461, 214) = 98654

GCD(461, 214) = ( 461 x 214 ) / 98654

GCD(461, 214) = 98654 / 98654

GCD(461, 214) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 873

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

LCM(1, 873) = 873

GCD(1, 873) = ( 1 x 873 ) / 873

GCD(1, 873) = 873 / 873

GCD(1, 873) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 130

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

LCM(1, 130) = 130

GCD(1, 130) = ( 1 x 130 ) / 130

GCD(1, 130) = 130 / 130

GCD(1, 130) = 1

GCD of 461, 214, 873, 130 is 1

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• GCD of 378, 693, 543, 677
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1. What is the GCD of 461, 214, 873, 130?

GCD of 461, 214, 873, 130 is 1

2. Where do I get the detailed procedure to find GCD of 461, 214, 873, 130?

You can find a detailed procedure to find GCD of 461, 214, 873, 130 on our page.

3. How to find GCD of 461, 214, 873, 130 on a calculator?

You can find the GCD of 461, 214, 873, 130 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.