GCD of 614, 129, 120, 319 Calculator

Given Input numbers are 614, 129, 120, 319

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 129

List of positive integer divisors of 129 that divides 129 without a remainder.

1, 3, 43, 129

Divisors of 120

List of positive integer divisors of 120 that divides 120 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Divisors of 319

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

1, 11, 29, 319

Greatest Common Divisior

We found the divisors of 614, 129, 120, 319 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 614, 129, 120, 319 is 1.

Therefore, GCD of numbers 614, 129, 120, 319 is 1

Given Input Data is 614, 129, 120, 319

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

Prime Factorization of 614 is 2 x 307

Prime Factorization of 129 is 3 x 43

Prime Factorization of 120 is 2 x 2 x 2 x 3 x 5

Prime Factorization of 319 is 11 x 29

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, 129) = 79206

GCD(614, 129) = ( 614 x 129 ) / 79206

GCD(614, 129) = 79206 / 79206

GCD(614, 129) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 120

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

LCM(1, 120) = 120

GCD(1, 120) = ( 1 x 120 ) / 120

GCD(1, 120) = 120 / 120

GCD(1, 120) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 319

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

LCM(1, 319) = 319

GCD(1, 319) = ( 1 x 319 ) / 319

GCD(1, 319) = 319 / 319

GCD(1, 319) = 1

GCD of 614, 129, 120, 319 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 940, 748, 701, 611
• GCD of 934, 394, 827, 933
• GCD of 741, 626, 798, 286
• GCD of 450, 542, 439, 144
• GCD of 921, 171, 835, 232

1. What is the GCD of 614, 129, 120, 319?

GCD of 614, 129, 120, 319 is 1

2. Where do I get the detailed procedure to find GCD of 614, 129, 120, 319?

You can find a detailed procedure to find GCD of 614, 129, 120, 319 on our page.

3. How to find GCD of 614, 129, 120, 319 on a calculator?

You can find the GCD of 614, 129, 120, 319 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.