GCD of 934, 343, 998, 313 Calculator

Given Input numbers are 934, 343, 998, 313

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

Divisors of 934

List of positive integer divisors of 934 that divides 934 without a remainder.

1, 2, 467, 934

Divisors of 343

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

1, 7, 49, 343

Divisors of 998

List of positive integer divisors of 998 that divides 998 without a remainder.

1, 2, 499, 998

Divisors of 313

List of positive integer divisors of 313 that divides 313 without a remainder.

1, 313

Greatest Common Divisior

We found the divisors of 934, 343, 998, 313 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 934, 343, 998, 313 is 1.

Therefore, GCD of numbers 934, 343, 998, 313 is 1

Given Input Data is 934, 343, 998, 313

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

Prime Factorization of 934 is 2 x 467

Prime Factorization of 343 is 7 x 7 x 7

Prime Factorization of 998 is 2 x 499

Prime Factorization of 313 is 313

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(934, 343) = 320362

GCD(934, 343) = ( 934 x 343 ) / 320362

GCD(934, 343) = 320362 / 320362

GCD(934, 343) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 998

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

LCM(1, 998) = 998

GCD(1, 998) = ( 1 x 998 ) / 998

GCD(1, 998) = 998 / 998

GCD(1, 998) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 313

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

LCM(1, 313) = 313

GCD(1, 313) = ( 1 x 313 ) / 313

GCD(1, 313) = 313 / 313

GCD(1, 313) = 1

GCD of 934, 343, 998, 313 is 1

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1. What is the GCD of 934, 343, 998, 313?

GCD of 934, 343, 998, 313 is 1

2. Where do I get the detailed procedure to find GCD of 934, 343, 998, 313?

You can find a detailed procedure to find GCD of 934, 343, 998, 313 on our page.

3. How to find GCD of 934, 343, 998, 313 on a calculator?

You can find the GCD of 934, 343, 998, 313 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.