GCD of 43, 940, 500, 313 Calculator

Given Input numbers are 43, 940, 500, 313

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 940

List of positive integer divisors of 940 that divides 940 without a remainder.

1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

Divisors of 500

List of positive integer divisors of 500 that divides 500 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

Divisors of 313

List of positive integer divisors of 313 that divides 313 without a remainder.

1, 313

Greatest Common Divisior

We found the divisors of 43, 940, 500, 313 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 43, 940, 500, 313 is 1.

Therefore, GCD of numbers 43, 940, 500, 313 is 1

Given Input Data is 43, 940, 500, 313

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

Prime Factorization of 43 is 43

Prime Factorization of 940 is 2 x 2 x 5 x 47

Prime Factorization of 500 is 2 x 2 x 5 x 5 x 5

Prime Factorization of 313 is 313

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, 940) = 40420

GCD(43, 940) = ( 43 x 940 ) / 40420

GCD(43, 940) = 40420 / 40420

GCD(43, 940) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 500

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

LCM(1, 500) = 500

GCD(1, 500) = ( 1 x 500 ) / 500

GCD(1, 500) = 500 / 500

GCD(1, 500) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 313

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

LCM(1, 313) = 313

GCD(1, 313) = ( 1 x 313 ) / 313

GCD(1, 313) = 313 / 313

GCD(1, 313) = 1

GCD of 43, 940, 500, 313 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 34, 666, 335, 592
• GCD of 93, 893, 933, 530
• GCD of 52, 526, 716, 474
• GCD of 80, 317, 472, 920
• GCD of 82, 906, 374, 735

1. What is the GCD of 43, 940, 500, 313?

GCD of 43, 940, 500, 313 is 1

2. Where do I get the detailed procedure to find GCD of 43, 940, 500, 313?

You can find a detailed procedure to find GCD of 43, 940, 500, 313 on our page.

3. How to find GCD of 43, 940, 500, 313 on a calculator?

You can find the GCD of 43, 940, 500, 313 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.