GCD of 343, 912, 506, 494 Calculator

Given Input numbers are 343, 912, 506, 494

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 912

List of positive integer divisors of 912 that divides 912 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

Divisors of 506

List of positive integer divisors of 506 that divides 506 without a remainder.

1, 2, 11, 22, 23, 46, 253, 506

Divisors of 494

List of positive integer divisors of 494 that divides 494 without a remainder.

1, 2, 13, 19, 26, 38, 247, 494

Greatest Common Divisior

We found the divisors of 343, 912, 506, 494 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 343, 912, 506, 494 is 1.

Therefore, GCD of numbers 343, 912, 506, 494 is 1

Given Input Data is 343, 912, 506, 494

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 912 is 2 x 2 x 2 x 2 x 3 x 19

Prime Factorization of 506 is 2 x 11 x 23

Prime Factorization of 494 is 2 x 13 x 19

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, 912) = 312816

GCD(343, 912) = ( 343 x 912 ) / 312816

GCD(343, 912) = 312816 / 312816

GCD(343, 912) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 506

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

LCM(1, 506) = 506

GCD(1, 506) = ( 1 x 506 ) / 506

GCD(1, 506) = 506 / 506

GCD(1, 506) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 494

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

LCM(1, 494) = 494

GCD(1, 494) = ( 1 x 494 ) / 494

GCD(1, 494) = 494 / 494

GCD(1, 494) = 1

GCD of 343, 912, 506, 494 is 1

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• GCD of 250, 791, 357, 402
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1. What is the GCD of 343, 912, 506, 494?

GCD of 343, 912, 506, 494 is 1

2. Where do I get the detailed procedure to find GCD of 343, 912, 506, 494?

You can find a detailed procedure to find GCD of 343, 912, 506, 494 on our page.

3. How to find GCD of 343, 912, 506, 494 on a calculator?

You can find the GCD of 343, 912, 506, 494 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.