GCD of 687, 150, 514 Calculator

Given Input numbers are 687, 150, 514

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

Divisors of 687

List of positive integer divisors of 687 that divides 687 without a remainder.

1, 3, 229, 687

Divisors of 150

List of positive integer divisors of 150 that divides 150 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

Divisors of 514

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

1, 2, 257, 514

Greatest Common Divisior

We found the divisors of 687, 150, 514 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 687, 150, 514 is 1.

Therefore, GCD of numbers 687, 150, 514 is 1

Given Input Data is 687, 150, 514

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

Prime Factorization of 687 is 3 x 229

Prime Factorization of 150 is 2 x 3 x 5 x 5

Prime Factorization of 514 is 2 x 257

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(687, 150) = 34350

GCD(687, 150) = ( 687 x 150 ) / 34350

GCD(687, 150) = 103050 / 34350

GCD(687, 150) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 514

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

LCM(3, 514) = 1542

GCD(3, 514) = ( 3 x 514 ) / 1542

GCD(3, 514) = 1542 / 1542

GCD(3, 514) = 1

GCD of 687, 150, 514 is 1

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• GCD of 598, 775, 614
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1. What is the GCD of 687, 150, 514?

GCD of 687, 150, 514 is 1

2. Where do I get the detailed procedure to find GCD of 687, 150, 514?

You can find a detailed procedure to find GCD of 687, 150, 514 on our page.

3. How to find GCD of 687, 150, 514 on a calculator?

You can find the GCD of 687, 150, 514 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.