GCD of 510, 423, 614, 534 Calculator

Given Input numbers are 510, 423, 614, 534

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

Divisors of 510

List of positive integer divisors of 510 that divides 510 without a remainder.

1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510

Divisors of 423

List of positive integer divisors of 423 that divides 423 without a remainder.

1, 3, 9, 47, 141, 423

Divisors of 614

List of positive integer divisors of 614 that divides 614 without a remainder.

1, 2, 307, 614

Divisors of 534

List of positive integer divisors of 534 that divides 534 without a remainder.

1, 2, 3, 6, 89, 178, 267, 534

Greatest Common Divisior

We found the divisors of 510, 423, 614, 534 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 510, 423, 614, 534 is 1.

Therefore, GCD of numbers 510, 423, 614, 534 is 1

Given Input Data is 510, 423, 614, 534

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

Prime Factorization of 510 is 2 x 3 x 5 x 17

Prime Factorization of 423 is 3 x 3 x 47

Prime Factorization of 614 is 2 x 307

Prime Factorization of 534 is 2 x 3 x 89

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(510, 423) = 71910

GCD(510, 423) = ( 510 x 423 ) / 71910

GCD(510, 423) = 215730 / 71910

GCD(510, 423) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 614

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

LCM(3, 614) = 1842

GCD(3, 614) = ( 3 x 614 ) / 1842

GCD(3, 614) = 1842 / 1842

GCD(3, 614) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 534

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

LCM(1, 534) = 534

GCD(1, 534) = ( 1 x 534 ) / 534

GCD(1, 534) = 534 / 534

GCD(1, 534) = 1

GCD of 510, 423, 614, 534 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 764, 396, 205, 499
• GCD of 186, 438, 407, 907
• GCD of 614, 798, 247, 602
• GCD of 882, 437, 276, 747
• GCD of 569, 930, 533, 496

1. What is the GCD of 510, 423, 614, 534?

GCD of 510, 423, 614, 534 is 1

2. Where do I get the detailed procedure to find GCD of 510, 423, 614, 534?

You can find a detailed procedure to find GCD of 510, 423, 614, 534 on our page.

3. How to find GCD of 510, 423, 614, 534 on a calculator?

You can find the GCD of 510, 423, 614, 534 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.