GCD of 513, 438, 242, 714 Calculator

Given Input numbers are 513, 438, 242, 714

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 438

List of positive integer divisors of 438 that divides 438 without a remainder.

1, 2, 3, 6, 73, 146, 219, 438

Divisors of 242

List of positive integer divisors of 242 that divides 242 without a remainder.

1, 2, 11, 22, 121, 242

Divisors of 714

List of positive integer divisors of 714 that divides 714 without a remainder.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

Greatest Common Divisior

We found the divisors of 513, 438, 242, 714 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 513, 438, 242, 714 is 1.

Therefore, GCD of numbers 513, 438, 242, 714 is 1

Given Input Data is 513, 438, 242, 714

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 438 is 2 x 3 x 73

Prime Factorization of 242 is 2 x 11 x 11

Prime Factorization of 714 is 2 x 3 x 7 x 17

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, 438) = 74898

GCD(513, 438) = ( 513 x 438 ) / 74898

GCD(513, 438) = 224694 / 74898

GCD(513, 438) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 242

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

LCM(3, 242) = 726

GCD(3, 242) = ( 3 x 242 ) / 726

GCD(3, 242) = 726 / 726

GCD(3, 242) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 714

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

LCM(1, 714) = 714

GCD(1, 714) = ( 1 x 714 ) / 714

GCD(1, 714) = 714 / 714

GCD(1, 714) = 1

GCD of 513, 438, 242, 714 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 878, 683, 363, 850
• GCD of 319, 737, 231, 692
• GCD of 162, 243, 658, 116
• GCD of 482, 567, 589, 227
• GCD of 558, 397, 787, 721

1. What is the GCD of 513, 438, 242, 714?

GCD of 513, 438, 242, 714 is 1

2. Where do I get the detailed procedure to find GCD of 513, 438, 242, 714?

You can find a detailed procedure to find GCD of 513, 438, 242, 714 on our page.

3. How to find GCD of 513, 438, 242, 714 on a calculator?

You can find the GCD of 513, 438, 242, 714 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.