GCD of 43, 310, 676, 992 Calculator

Given Input numbers are 43, 310, 676, 992

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

Divisors of 43

List of positive integer divisors of 43 that divides 43 without a remainder.

1, 43

Divisors of 310

List of positive integer divisors of 310 that divides 310 without a remainder.

1, 2, 5, 10, 31, 62, 155, 310

Divisors of 676

List of positive integer divisors of 676 that divides 676 without a remainder.

1, 2, 4, 13, 26, 52, 169, 338, 676

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

Greatest Common Divisior

We found the divisors of 43, 310, 676, 992 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 43, 310, 676, 992 is 1.

Therefore, GCD of numbers 43, 310, 676, 992 is 1

Given Input Data is 43, 310, 676, 992

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

Prime Factorization of 43 is 43

Prime Factorization of 310 is 2 x 5 x 31

Prime Factorization of 676 is 2 x 2 x 13 x 13

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

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(43, 310) = 13330

GCD(43, 310) = ( 43 x 310 ) / 13330

GCD(43, 310) = 13330 / 13330

GCD(43, 310) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 676

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

LCM(1, 676) = 676

GCD(1, 676) = ( 1 x 676 ) / 676

GCD(1, 676) = 676 / 676

GCD(1, 676) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 992

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

LCM(1, 992) = 992

GCD(1, 992) = ( 1 x 992 ) / 992

GCD(1, 992) = 992 / 992

GCD(1, 992) = 1

GCD of 43, 310, 676, 992 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 97, 665, 860, 333
• GCD of 90, 219, 193, 120
• GCD of 42, 382, 165, 960
• GCD of 27, 602, 670, 653
• GCD of 48, 665, 585, 429

1. What is the GCD of 43, 310, 676, 992?

GCD of 43, 310, 676, 992 is 1

2. Where do I get the detailed procedure to find GCD of 43, 310, 676, 992?

You can find a detailed procedure to find GCD of 43, 310, 676, 992 on our page.

3. How to find GCD of 43, 310, 676, 992 on a calculator?

You can find the GCD of 43, 310, 676, 992 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.