GCD of 513, 540, 82, 658 Calculator

Given Input numbers are 513, 540, 82, 658

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

Divisors of 513

List of positive integer divisors of 513 that divides 513 without a remainder.

1, 3, 9, 19, 27, 57, 171, 513

Divisors of 540

List of positive integer divisors of 540 that divides 540 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

Divisors of 82

List of positive integer divisors of 82 that divides 82 without a remainder.

1, 2, 41, 82

Divisors of 658

List of positive integer divisors of 658 that divides 658 without a remainder.

1, 2, 7, 14, 47, 94, 329, 658

Greatest Common Divisior

We found the divisors of 513, 540, 82, 658 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 513, 540, 82, 658 is 1.

Therefore, GCD of numbers 513, 540, 82, 658 is 1

Given Input Data is 513, 540, 82, 658

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

Prime Factorization of 513 is 3 x 3 x 3 x 19

Prime Factorization of 540 is 2 x 2 x 3 x 3 x 3 x 5

Prime Factorization of 82 is 2 x 41

Prime Factorization of 658 is 2 x 7 x 47

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(513, 540) = 10260

GCD(513, 540) = ( 513 x 540 ) / 10260

GCD(513, 540) = 277020 / 10260

GCD(513, 540) = 27

Step2:

Here we consider the GCD from the above i.e. 27 as first number and the next as 82

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

LCM(27, 82) = 2214

GCD(27, 82) = ( 27 x 82 ) / 2214

GCD(27, 82) = 2214 / 2214

GCD(27, 82) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 658

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

LCM(1, 658) = 658

GCD(1, 658) = ( 1 x 658 ) / 658

GCD(1, 658) = 658 / 658

GCD(1, 658) = 1

GCD of 513, 540, 82, 658 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 657, 576, 48, 834
• GCD of 672, 877, 37, 240
• GCD of 666, 444, 26, 977
• GCD of 844, 452, 28, 778
• GCD of 194, 611, 66, 679

1. What is the GCD of 513, 540, 82, 658?

GCD of 513, 540, 82, 658 is 1

2. Where do I get the detailed procedure to find GCD of 513, 540, 82, 658?

You can find a detailed procedure to find GCD of 513, 540, 82, 658 on our page.

3. How to find GCD of 513, 540, 82, 658 on a calculator?

You can find the GCD of 513, 540, 82, 658 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.