GCD of 343, 399, 84, 997 Calculator

Given Input numbers are 343, 399, 84, 997

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

Divisors of 343

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

1, 7, 49, 343

Divisors of 399

List of positive integer divisors of 399 that divides 399 without a remainder.

1, 3, 7, 19, 21, 57, 133, 399

Divisors of 84

List of positive integer divisors of 84 that divides 84 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

Divisors of 997

List of positive integer divisors of 997 that divides 997 without a remainder.

1, 997

Greatest Common Divisior

We found the divisors of 343, 399, 84, 997 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 343, 399, 84, 997 is 1.

Therefore, GCD of numbers 343, 399, 84, 997 is 1

Given Input Data is 343, 399, 84, 997

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

Prime Factorization of 343 is 7 x 7 x 7

Prime Factorization of 399 is 3 x 7 x 19

Prime Factorization of 84 is 2 x 2 x 3 x 7

Prime Factorization of 997 is 997

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(343, 399) = 19551

GCD(343, 399) = ( 343 x 399 ) / 19551

GCD(343, 399) = 136857 / 19551

GCD(343, 399) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 84

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

LCM(7, 84) = 84

GCD(7, 84) = ( 7 x 84 ) / 84

GCD(7, 84) = 588 / 84

GCD(7, 84) = 7

Step3:

Here we consider the GCD from the above i.e. 7 as first number and the next as 997

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

LCM(7, 997) = 6979

GCD(7, 997) = ( 7 x 997 ) / 6979

GCD(7, 997) = 6979 / 6979

GCD(7, 997) = 1

GCD of 343, 399, 84, 997 is 1

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1. What is the GCD of 343, 399, 84, 997?

GCD of 343, 399, 84, 997 is 1

2. Where do I get the detailed procedure to find GCD of 343, 399, 84, 997?

You can find a detailed procedure to find GCD of 343, 399, 84, 997 on our page.

3. How to find GCD of 343, 399, 84, 997 on a calculator?

You can find the GCD of 343, 399, 84, 997 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.