GCD of 343, 612, 413, 930 Calculator

Given Input numbers are 343, 612, 413, 930

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

Divisors of 343

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

1, 7, 49, 343

Divisors of 612

List of positive integer divisors of 612 that divides 612 without a remainder.

1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

Divisors of 413

List of positive integer divisors of 413 that divides 413 without a remainder.

1, 7, 59, 413

Divisors of 930

List of positive integer divisors of 930 that divides 930 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930

Greatest Common Divisior

We found the divisors of 343, 612, 413, 930 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 343, 612, 413, 930 is 1.

Therefore, GCD of numbers 343, 612, 413, 930 is 1

Given Input Data is 343, 612, 413, 930

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

Prime Factorization of 343 is 7 x 7 x 7

Prime Factorization of 612 is 2 x 2 x 3 x 3 x 17

Prime Factorization of 413 is 7 x 59

Prime Factorization of 930 is 2 x 3 x 5 x 31

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(343, 612) = 209916

GCD(343, 612) = ( 343 x 612 ) / 209916

GCD(343, 612) = 209916 / 209916

GCD(343, 612) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 413

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

LCM(1, 413) = 413

GCD(1, 413) = ( 1 x 413 ) / 413

GCD(1, 413) = 413 / 413

GCD(1, 413) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 930

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

LCM(1, 930) = 930

GCD(1, 930) = ( 1 x 930 ) / 930

GCD(1, 930) = 930 / 930

GCD(1, 930) = 1

GCD of 343, 612, 413, 930 is 1

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1. What is the GCD of 343, 612, 413, 930?

GCD of 343, 612, 413, 930 is 1

2. Where do I get the detailed procedure to find GCD of 343, 612, 413, 930?

You can find a detailed procedure to find GCD of 343, 612, 413, 930 on our page.

3. How to find GCD of 343, 612, 413, 930 on a calculator?

You can find the GCD of 343, 612, 413, 930 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.