GCD of 681, 312, 630 Calculator

Given Input numbers are 681, 312, 630

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

Divisors of 681

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

1, 3, 227, 681

Divisors of 312

List of positive integer divisors of 312 that divides 312 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Divisors of 630

List of positive integer divisors of 630 that divides 630 without a remainder.

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630

Greatest Common Divisior

We found the divisors of 681, 312, 630 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 681, 312, 630 is 3.

Therefore, GCD of numbers 681, 312, 630 is 3

Given Input Data is 681, 312, 630

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

Prime Factorization of 681 is 3 x 227

Prime Factorization of 312 is 2 x 2 x 2 x 3 x 13

Prime Factorization of 630 is 2 x 3 x 3 x 5 x 7

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(681, 312) = 70824

GCD(681, 312) = ( 681 x 312 ) / 70824

GCD(681, 312) = 212472 / 70824

GCD(681, 312) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 630

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

LCM(3, 630) = 630

GCD(3, 630) = ( 3 x 630 ) / 630

GCD(3, 630) = 1890 / 630

GCD(3, 630) = 3

GCD of 681, 312, 630 is 3

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• GCD of 351, 249, 177
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1. What is the GCD of 681, 312, 630?

GCD of 681, 312, 630 is 3

2. Where do I get the detailed procedure to find GCD of 681, 312, 630?

You can find a detailed procedure to find GCD of 681, 312, 630 on our page.

3. How to find GCD of 681, 312, 630 on a calculator?

You can find the GCD of 681, 312, 630 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.