GCD of 674, 243, 232, 343 Calculator

Given Input numbers are 674, 243, 232, 343

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

Divisors of 674

List of positive integer divisors of 674 that divides 674 without a remainder.

1, 2, 337, 674

Divisors of 243

List of positive integer divisors of 243 that divides 243 without a remainder.

1, 3, 9, 27, 81, 243

Divisors of 232

List of positive integer divisors of 232 that divides 232 without a remainder.

1, 2, 4, 8, 29, 58, 116, 232

Divisors of 343

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

1, 7, 49, 343

Greatest Common Divisior

We found the divisors of 674, 243, 232, 343 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 674, 243, 232, 343 is 1.

Therefore, GCD of numbers 674, 243, 232, 343 is 1

Given Input Data is 674, 243, 232, 343

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

Prime Factorization of 674 is 2 x 337

Prime Factorization of 243 is 3 x 3 x 3 x 3 x 3

Prime Factorization of 232 is 2 x 2 x 2 x 29

Prime Factorization of 343 is 7 x 7 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(674, 243) = 163782

GCD(674, 243) = ( 674 x 243 ) / 163782

GCD(674, 243) = 163782 / 163782

GCD(674, 243) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 232

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

LCM(1, 232) = 232

GCD(1, 232) = ( 1 x 232 ) / 232

GCD(1, 232) = 232 / 232

GCD(1, 232) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 343

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

LCM(1, 343) = 343

GCD(1, 343) = ( 1 x 343 ) / 343

GCD(1, 343) = 343 / 343

GCD(1, 343) = 1

GCD of 674, 243, 232, 343 is 1

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1. What is the GCD of 674, 243, 232, 343?

GCD of 674, 243, 232, 343 is 1

2. Where do I get the detailed procedure to find GCD of 674, 243, 232, 343?

You can find a detailed procedure to find GCD of 674, 243, 232, 343 on our page.

3. How to find GCD of 674, 243, 232, 343 on a calculator?

You can find the GCD of 674, 243, 232, 343 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.