GCD of 300, 114, 681, 466 Calculator

Given Input numbers are 300, 114, 681, 466

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

Divisors of 300

List of positive integer divisors of 300 that divides 300 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

Divisors of 114

List of positive integer divisors of 114 that divides 114 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114

Divisors of 681

List of positive integer divisors of 681 that divides 681 without a remainder.

1, 3, 227, 681

Divisors of 466

List of positive integer divisors of 466 that divides 466 without a remainder.

1, 2, 233, 466

Greatest Common Divisior

We found the divisors of 300, 114, 681, 466 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 300, 114, 681, 466 is 1.

Therefore, GCD of numbers 300, 114, 681, 466 is 1

Given Input Data is 300, 114, 681, 466

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

Prime Factorization of 300 is 2 x 2 x 3 x 5 x 5

Prime Factorization of 114 is 2 x 3 x 19

Prime Factorization of 681 is 3 x 227

Prime Factorization of 466 is 2 x 233

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(300, 114) = 5700

GCD(300, 114) = ( 300 x 114 ) / 5700

GCD(300, 114) = 34200 / 5700

GCD(300, 114) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 681

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

LCM(6, 681) = 1362

GCD(6, 681) = ( 6 x 681 ) / 1362

GCD(6, 681) = 4086 / 1362

GCD(6, 681) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 466

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

LCM(3, 466) = 1398

GCD(3, 466) = ( 3 x 466 ) / 1398

GCD(3, 466) = 1398 / 1398

GCD(3, 466) = 1

GCD of 300, 114, 681, 466 is 1

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• GCD of 717, 248, 286, 843
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• GCD of 676, 467, 501, 753

1. What is the GCD of 300, 114, 681, 466?

GCD of 300, 114, 681, 466 is 1

2. Where do I get the detailed procedure to find GCD of 300, 114, 681, 466?

You can find a detailed procedure to find GCD of 300, 114, 681, 466 on our page.

3. How to find GCD of 300, 114, 681, 466 on a calculator?

You can find the GCD of 300, 114, 681, 466 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.