GCD of 394, 610, 514, 133 Calculator

Given Input numbers are 394, 610, 514, 133

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

Divisors of 394

List of positive integer divisors of 394 that divides 394 without a remainder.

1, 2, 197, 394

Divisors of 610

List of positive integer divisors of 610 that divides 610 without a remainder.

1, 2, 5, 10, 61, 122, 305, 610

Divisors of 514

List of positive integer divisors of 514 that divides 514 without a remainder.

1, 2, 257, 514

Divisors of 133

List of positive integer divisors of 133 that divides 133 without a remainder.

1, 7, 19, 133

Greatest Common Divisior

We found the divisors of 394, 610, 514, 133 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 394, 610, 514, 133 is 1.

Therefore, GCD of numbers 394, 610, 514, 133 is 1

Given Input Data is 394, 610, 514, 133

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

Prime Factorization of 394 is 2 x 197

Prime Factorization of 610 is 2 x 5 x 61

Prime Factorization of 514 is 2 x 257

Prime Factorization of 133 is 7 x 19

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(394, 610) = 120170

GCD(394, 610) = ( 394 x 610 ) / 120170

GCD(394, 610) = 240340 / 120170

GCD(394, 610) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 514

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

LCM(2, 514) = 514

GCD(2, 514) = ( 2 x 514 ) / 514

GCD(2, 514) = 1028 / 514

GCD(2, 514) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 133

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

LCM(2, 133) = 266

GCD(2, 133) = ( 2 x 133 ) / 266

GCD(2, 133) = 266 / 266

GCD(2, 133) = 1

GCD of 394, 610, 514, 133 is 1

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1. What is the GCD of 394, 610, 514, 133?

GCD of 394, 610, 514, 133 is 1

2. Where do I get the detailed procedure to find GCD of 394, 610, 514, 133?

You can find a detailed procedure to find GCD of 394, 610, 514, 133 on our page.

3. How to find GCD of 394, 610, 514, 133 on a calculator?

You can find the GCD of 394, 610, 514, 133 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.