GCD of 514, 865, 380, 716 Calculator

Given Input numbers are 514, 865, 380, 716

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

Divisors of 514

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

1, 2, 257, 514

Divisors of 865

List of positive integer divisors of 865 that divides 865 without a remainder.

1, 5, 173, 865

Divisors of 380

List of positive integer divisors of 380 that divides 380 without a remainder.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

Divisors of 716

List of positive integer divisors of 716 that divides 716 without a remainder.

1, 2, 4, 179, 358, 716

Greatest Common Divisior

We found the divisors of 514, 865, 380, 716 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 514, 865, 380, 716 is 1.

Therefore, GCD of numbers 514, 865, 380, 716 is 1

Given Input Data is 514, 865, 380, 716

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

Prime Factorization of 514 is 2 x 257

Prime Factorization of 865 is 5 x 173

Prime Factorization of 380 is 2 x 2 x 5 x 19

Prime Factorization of 716 is 2 x 2 x 179

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(514, 865) = 444610

GCD(514, 865) = ( 514 x 865 ) / 444610

GCD(514, 865) = 444610 / 444610

GCD(514, 865) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 380

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

LCM(1, 380) = 380

GCD(1, 380) = ( 1 x 380 ) / 380

GCD(1, 380) = 380 / 380

GCD(1, 380) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 716

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

LCM(1, 716) = 716

GCD(1, 716) = ( 1 x 716 ) / 716

GCD(1, 716) = 716 / 716

GCD(1, 716) = 1

GCD of 514, 865, 380, 716 is 1

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1. What is the GCD of 514, 865, 380, 716?

GCD of 514, 865, 380, 716 is 1

2. Where do I get the detailed procedure to find GCD of 514, 865, 380, 716?

You can find a detailed procedure to find GCD of 514, 865, 380, 716 on our page.

3. How to find GCD of 514, 865, 380, 716 on a calculator?

You can find the GCD of 514, 865, 380, 716 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.