GCD of 23, 391, 343, 630 Calculator

Given Input numbers are 23, 391, 343, 630

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

Divisors of 23

List of positive integer divisors of 23 that divides 23 without a remainder.

1, 23

Divisors of 391

List of positive integer divisors of 391 that divides 391 without a remainder.

1, 17, 23, 391

Divisors of 343

List of positive integer divisors of 343 that divides 343 without a remainder.

1, 7, 49, 343

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 23, 391, 343, 630 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 23, 391, 343, 630 is 1.

Therefore, GCD of numbers 23, 391, 343, 630 is 1

Given Input Data is 23, 391, 343, 630

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

Prime Factorization of 23 is 23

Prime Factorization of 391 is 17 x 23

Prime Factorization of 343 is 7 x 7 x 7

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

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(23, 391) = 391

GCD(23, 391) = ( 23 x 391 ) / 391

GCD(23, 391) = 8993 / 391

GCD(23, 391) = 23

Step2:

Here we consider the GCD from the above i.e. 23 as first number and the next as 343

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

LCM(23, 343) = 7889

GCD(23, 343) = ( 23 x 343 ) / 7889

GCD(23, 343) = 7889 / 7889

GCD(23, 343) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 630

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

LCM(1, 630) = 630

GCD(1, 630) = ( 1 x 630 ) / 630

GCD(1, 630) = 630 / 630

GCD(1, 630) = 1

GCD of 23, 391, 343, 630 is 1

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1. What is the GCD of 23, 391, 343, 630?

GCD of 23, 391, 343, 630 is 1

2. Where do I get the detailed procedure to find GCD of 23, 391, 343, 630?

You can find a detailed procedure to find GCD of 23, 391, 343, 630 on our page.

3. How to find GCD of 23, 391, 343, 630 on a calculator?

You can find the GCD of 23, 391, 343, 630 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.