GCD of 513, 348, 30, 355 Calculator

Given Input numbers are 513, 348, 30, 355

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 348

List of positive integer divisors of 348 that divides 348 without a remainder.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

Divisors of 30

List of positive integer divisors of 30 that divides 30 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30

Divisors of 355

List of positive integer divisors of 355 that divides 355 without a remainder.

1, 5, 71, 355

Greatest Common Divisior

We found the divisors of 513, 348, 30, 355 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 513, 348, 30, 355 is 1.

Therefore, GCD of numbers 513, 348, 30, 355 is 1

Given Input Data is 513, 348, 30, 355

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 348 is 2 x 2 x 3 x 29

Prime Factorization of 30 is 2 x 3 x 5

Prime Factorization of 355 is 5 x 71

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, 348) = 59508

GCD(513, 348) = ( 513 x 348 ) / 59508

GCD(513, 348) = 178524 / 59508

GCD(513, 348) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 30

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

LCM(3, 30) = 30

GCD(3, 30) = ( 3 x 30 ) / 30

GCD(3, 30) = 90 / 30

GCD(3, 30) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 355

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

LCM(3, 355) = 1065

GCD(3, 355) = ( 3 x 355 ) / 1065

GCD(3, 355) = 1065 / 1065

GCD(3, 355) = 1

GCD of 513, 348, 30, 355 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 429, 834, 79, 370
• GCD of 707, 189, 23, 337
• GCD of 643, 602, 52, 726
• GCD of 951, 248, 40, 338
• GCD of 514, 141, 92, 777

1. What is the GCD of 513, 348, 30, 355?

GCD of 513, 348, 30, 355 is 1

2. Where do I get the detailed procedure to find GCD of 513, 348, 30, 355?

You can find a detailed procedure to find GCD of 513, 348, 30, 355 on our page.

3. How to find GCD of 513, 348, 30, 355 on a calculator?

You can find the GCD of 513, 348, 30, 355 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.