GCD of 614, 423, 50, 313 Calculator

Given Input numbers are 614, 423, 50, 313

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

Divisors of 614

List of positive integer divisors of 614 that divides 614 without a remainder.

1, 2, 307, 614

Divisors of 423

List of positive integer divisors of 423 that divides 423 without a remainder.

1, 3, 9, 47, 141, 423

Divisors of 50

List of positive integer divisors of 50 that divides 50 without a remainder.

1, 2, 5, 10, 25, 50

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 614, 423, 50, 313 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 614, 423, 50, 313 is 1.

Therefore, GCD of numbers 614, 423, 50, 313 is 1

Given Input Data is 614, 423, 50, 313

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

Prime Factorization of 614 is 2 x 307

Prime Factorization of 423 is 3 x 3 x 47

Prime Factorization of 50 is 2 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(614, 423) = 259722

GCD(614, 423) = ( 614 x 423 ) / 259722

GCD(614, 423) = 259722 / 259722

GCD(614, 423) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 50

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

LCM(1, 50) = 50

GCD(1, 50) = ( 1 x 50 ) / 50

GCD(1, 50) = 50 / 50

GCD(1, 50) = 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 614, 423, 50, 313 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 257, 322, 77, 422
• GCD of 610, 129, 21, 532
• GCD of 725, 161, 57, 135
• GCD of 583, 702, 44, 149
• GCD of 902, 238, 37, 854

1. What is the GCD of 614, 423, 50, 313?

GCD of 614, 423, 50, 313 is 1

2. Where do I get the detailed procedure to find GCD of 614, 423, 50, 313?

You can find a detailed procedure to find GCD of 614, 423, 50, 313 on our page.

3. How to find GCD of 614, 423, 50, 313 on a calculator?

You can find the GCD of 614, 423, 50, 313 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.