GCD of 514, 830, 531, 528 Calculator

Given Input numbers are 514, 830, 531, 528

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 830

List of positive integer divisors of 830 that divides 830 without a remainder.

1, 2, 5, 10, 83, 166, 415, 830

Divisors of 531

List of positive integer divisors of 531 that divides 531 without a remainder.

1, 3, 9, 59, 177, 531

Divisors of 528

List of positive integer divisors of 528 that divides 528 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

Greatest Common Divisior

We found the divisors of 514, 830, 531, 528 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 514, 830, 531, 528 is 1.

Therefore, GCD of numbers 514, 830, 531, 528 is 1

Given Input Data is 514, 830, 531, 528

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

Prime Factorization of 514 is 2 x 257

Prime Factorization of 830 is 2 x 5 x 83

Prime Factorization of 531 is 3 x 3 x 59

Prime Factorization of 528 is 2 x 2 x 2 x 2 x 3 x 11

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, 830) = 213310

GCD(514, 830) = ( 514 x 830 ) / 213310

GCD(514, 830) = 426620 / 213310

GCD(514, 830) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 531

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

LCM(2, 531) = 1062

GCD(2, 531) = ( 2 x 531 ) / 1062

GCD(2, 531) = 1062 / 1062

GCD(2, 531) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 528

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

LCM(1, 528) = 528

GCD(1, 528) = ( 1 x 528 ) / 528

GCD(1, 528) = 528 / 528

GCD(1, 528) = 1

GCD of 514, 830, 531, 528 is 1

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• GCD of 540, 443, 497, 159
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1. What is the GCD of 514, 830, 531, 528?

GCD of 514, 830, 531, 528 is 1

2. Where do I get the detailed procedure to find GCD of 514, 830, 531, 528?

You can find a detailed procedure to find GCD of 514, 830, 531, 528 on our page.

3. How to find GCD of 514, 830, 531, 528 on a calculator?

You can find the GCD of 514, 830, 531, 528 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.