GCD of 374, 493, 319, 940 Calculator

Given Input numbers are 374, 493, 319, 940

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

Divisors of 374

List of positive integer divisors of 374 that divides 374 without a remainder.

1, 2, 11, 17, 22, 34, 187, 374

Divisors of 493

List of positive integer divisors of 493 that divides 493 without a remainder.

1, 17, 29, 493

Divisors of 319

List of positive integer divisors of 319 that divides 319 without a remainder.

1, 11, 29, 319

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

Greatest Common Divisior

We found the divisors of 374, 493, 319, 940 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 374, 493, 319, 940 is 1.

Therefore, GCD of numbers 374, 493, 319, 940 is 1

Given Input Data is 374, 493, 319, 940

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

Prime Factorization of 374 is 2 x 11 x 17

Prime Factorization of 493 is 17 x 29

Prime Factorization of 319 is 11 x 29

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

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(374, 493) = 10846

GCD(374, 493) = ( 374 x 493 ) / 10846

GCD(374, 493) = 184382 / 10846

GCD(374, 493) = 17

Step2:

Here we consider the GCD from the above i.e. 17 as first number and the next as 319

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

LCM(17, 319) = 5423

GCD(17, 319) = ( 17 x 319 ) / 5423

GCD(17, 319) = 5423 / 5423

GCD(17, 319) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 940

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

LCM(1, 940) = 940

GCD(1, 940) = ( 1 x 940 ) / 940

GCD(1, 940) = 940 / 940

GCD(1, 940) = 1

GCD of 374, 493, 319, 940 is 1

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1. What is the GCD of 374, 493, 319, 940?

GCD of 374, 493, 319, 940 is 1

2. Where do I get the detailed procedure to find GCD of 374, 493, 319, 940?

You can find a detailed procedure to find GCD of 374, 493, 319, 940 on our page.

3. How to find GCD of 374, 493, 319, 940 on a calculator?

You can find the GCD of 374, 493, 319, 940 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.