GCD of 992, 228, 31, 343 Calculator

Given Input numbers are 992, 228, 31, 343

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

Divisors of 992

List of positive integer divisors of 992 that divides 992 without a remainder.

1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

Divisors of 228

List of positive integer divisors of 228 that divides 228 without a remainder.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

Divisors of 31

List of positive integer divisors of 31 that divides 31 without a remainder.

1, 31

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 992, 228, 31, 343 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 992, 228, 31, 343 is 1.

Therefore, GCD of numbers 992, 228, 31, 343 is 1

Given Input Data is 992, 228, 31, 343

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

Prime Factorization of 992 is 2 x 2 x 2 x 2 x 2 x 31

Prime Factorization of 228 is 2 x 2 x 3 x 19

Prime Factorization of 31 is 31

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(992, 228) = 56544

GCD(992, 228) = ( 992 x 228 ) / 56544

GCD(992, 228) = 226176 / 56544

GCD(992, 228) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 31

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

LCM(4, 31) = 124

GCD(4, 31) = ( 4 x 31 ) / 124

GCD(4, 31) = 124 / 124

GCD(4, 31) = 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 992, 228, 31, 343 is 1

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1. What is the GCD of 992, 228, 31, 343?

GCD of 992, 228, 31, 343 is 1

2. Where do I get the detailed procedure to find GCD of 992, 228, 31, 343?

You can find a detailed procedure to find GCD of 992, 228, 31, 343 on our page.

3. How to find GCD of 992, 228, 31, 343 on a calculator?

You can find the GCD of 992, 228, 31, 343 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.