GCD of 359, 343, 192, 730 Calculator

Given Input numbers are 359, 343, 192, 730

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

Divisors of 359

List of positive integer divisors of 359 that divides 359 without a remainder.

1, 359

Divisors of 343

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

1, 7, 49, 343

Divisors of 192

List of positive integer divisors of 192 that divides 192 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192

Divisors of 730

List of positive integer divisors of 730 that divides 730 without a remainder.

1, 2, 5, 10, 73, 146, 365, 730

Greatest Common Divisior

We found the divisors of 359, 343, 192, 730 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 359, 343, 192, 730 is 1.

Therefore, GCD of numbers 359, 343, 192, 730 is 1

Given Input Data is 359, 343, 192, 730

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

Prime Factorization of 359 is 359

Prime Factorization of 343 is 7 x 7 x 7

Prime Factorization of 192 is 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 730 is 2 x 5 x 73

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(359, 343) = 123137

GCD(359, 343) = ( 359 x 343 ) / 123137

GCD(359, 343) = 123137 / 123137

GCD(359, 343) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 192

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

LCM(1, 192) = 192

GCD(1, 192) = ( 1 x 192 ) / 192

GCD(1, 192) = 192 / 192

GCD(1, 192) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 730

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

LCM(1, 730) = 730

GCD(1, 730) = ( 1 x 730 ) / 730

GCD(1, 730) = 730 / 730

GCD(1, 730) = 1

GCD of 359, 343, 192, 730 is 1

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1. What is the GCD of 359, 343, 192, 730?

GCD of 359, 343, 192, 730 is 1

2. Where do I get the detailed procedure to find GCD of 359, 343, 192, 730?

You can find a detailed procedure to find GCD of 359, 343, 192, 730 on our page.

3. How to find GCD of 359, 343, 192, 730 on a calculator?

You can find the GCD of 359, 343, 192, 730 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.