GCD of 363, 156, 514 Calculator

Given Input numbers are 363, 156, 514

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

Divisors of 363

List of positive integer divisors of 363 that divides 363 without a remainder.

1, 3, 11, 33, 121, 363

Divisors of 156

List of positive integer divisors of 156 that divides 156 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156

Divisors of 514

List of positive integer divisors of 514 that divides 514 without a remainder.

1, 2, 257, 514

Greatest Common Divisior

We found the divisors of 363, 156, 514 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 363, 156, 514 is 1.

Therefore, GCD of numbers 363, 156, 514 is 1

Given Input Data is 363, 156, 514

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

Prime Factorization of 363 is 3 x 11 x 11

Prime Factorization of 156 is 2 x 2 x 3 x 13

Prime Factorization of 514 is 2 x 257

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(363, 156) = 18876

GCD(363, 156) = ( 363 x 156 ) / 18876

GCD(363, 156) = 56628 / 18876

GCD(363, 156) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 514

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

LCM(3, 514) = 1542

GCD(3, 514) = ( 3 x 514 ) / 1542

GCD(3, 514) = 1542 / 1542

GCD(3, 514) = 1

GCD of 363, 156, 514 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 957, 237, 429
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• GCD of 242, 111, 391
• GCD of 552, 224, 633

1. What is the GCD of 363, 156, 514?

GCD of 363, 156, 514 is 1

2. Where do I get the detailed procedure to find GCD of 363, 156, 514?

You can find a detailed procedure to find GCD of 363, 156, 514 on our page.

3. How to find GCD of 363, 156, 514 on a calculator?

You can find the GCD of 363, 156, 514 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.