GCD of 299, 343, 962, 391 Calculator

Given Input numbers are 299, 343, 962, 391

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

Divisors of 299

List of positive integer divisors of 299 that divides 299 without a remainder.

1, 13, 23, 299

Divisors of 343

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

1, 7, 49, 343

Divisors of 962

List of positive integer divisors of 962 that divides 962 without a remainder.

1, 2, 13, 26, 37, 74, 481, 962

Divisors of 391

List of positive integer divisors of 391 that divides 391 without a remainder.

1, 17, 23, 391

Greatest Common Divisior

We found the divisors of 299, 343, 962, 391 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 299, 343, 962, 391 is 1.

Therefore, GCD of numbers 299, 343, 962, 391 is 1

Given Input Data is 299, 343, 962, 391

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

Prime Factorization of 299 is 13 x 23

Prime Factorization of 343 is 7 x 7 x 7

Prime Factorization of 962 is 2 x 13 x 37

Prime Factorization of 391 is 17 x 23

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(299, 343) = 102557

GCD(299, 343) = ( 299 x 343 ) / 102557

GCD(299, 343) = 102557 / 102557

GCD(299, 343) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 962

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

LCM(1, 962) = 962

GCD(1, 962) = ( 1 x 962 ) / 962

GCD(1, 962) = 962 / 962

GCD(1, 962) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 391

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

LCM(1, 391) = 391

GCD(1, 391) = ( 1 x 391 ) / 391

GCD(1, 391) = 391 / 391

GCD(1, 391) = 1

GCD of 299, 343, 962, 391 is 1

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1. What is the GCD of 299, 343, 962, 391?

GCD of 299, 343, 962, 391 is 1

2. Where do I get the detailed procedure to find GCD of 299, 343, 962, 391?

You can find a detailed procedure to find GCD of 299, 343, 962, 391 on our page.

3. How to find GCD of 299, 343, 962, 391 on a calculator?

You can find the GCD of 299, 343, 962, 391 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.