GCD of 346, 400, 982, 351 Calculator

Given Input numbers are 346, 400, 982, 351

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

Divisors of 346

List of positive integer divisors of 346 that divides 346 without a remainder.

1, 2, 173, 346

Divisors of 400

List of positive integer divisors of 400 that divides 400 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

Divisors of 982

List of positive integer divisors of 982 that divides 982 without a remainder.

1, 2, 491, 982

Divisors of 351

List of positive integer divisors of 351 that divides 351 without a remainder.

1, 3, 9, 13, 27, 39, 117, 351

Greatest Common Divisior

We found the divisors of 346, 400, 982, 351 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 346, 400, 982, 351 is 1.

Therefore, GCD of numbers 346, 400, 982, 351 is 1

Given Input Data is 346, 400, 982, 351

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

Prime Factorization of 346 is 2 x 173

Prime Factorization of 400 is 2 x 2 x 2 x 2 x 5 x 5

Prime Factorization of 982 is 2 x 491

Prime Factorization of 351 is 3 x 3 x 3 x 13

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(346, 400) = 69200

GCD(346, 400) = ( 346 x 400 ) / 69200

GCD(346, 400) = 138400 / 69200

GCD(346, 400) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 982

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

LCM(2, 982) = 982

GCD(2, 982) = ( 2 x 982 ) / 982

GCD(2, 982) = 1964 / 982

GCD(2, 982) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 351

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

LCM(2, 351) = 702

GCD(2, 351) = ( 2 x 351 ) / 702

GCD(2, 351) = 702 / 702

GCD(2, 351) = 1

GCD of 346, 400, 982, 351 is 1

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1. What is the GCD of 346, 400, 982, 351?

GCD of 346, 400, 982, 351 is 1

2. Where do I get the detailed procedure to find GCD of 346, 400, 982, 351?

You can find a detailed procedure to find GCD of 346, 400, 982, 351 on our page.

3. How to find GCD of 346, 400, 982, 351 on a calculator?

You can find the GCD of 346, 400, 982, 351 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.