GCD of 13, 156, 617, 297 Calculator

Given Input numbers are 13, 156, 617, 297

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

Divisors of 13

List of positive integer divisors of 13 that divides 13 without a remainder.

1, 13

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 617

List of positive integer divisors of 617 that divides 617 without a remainder.

1, 617

Divisors of 297

List of positive integer divisors of 297 that divides 297 without a remainder.

1, 3, 9, 11, 27, 33, 99, 297

Greatest Common Divisior

We found the divisors of 13, 156, 617, 297 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 13, 156, 617, 297 is 1.

Therefore, GCD of numbers 13, 156, 617, 297 is 1

Given Input Data is 13, 156, 617, 297

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

Prime Factorization of 13 is 13

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

Prime Factorization of 617 is 617

Prime Factorization of 297 is 3 x 3 x 3 x 11

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(13, 156) = 156

GCD(13, 156) = ( 13 x 156 ) / 156

GCD(13, 156) = 2028 / 156

GCD(13, 156) = 13

Step2:

Here we consider the GCD from the above i.e. 13 as first number and the next as 617

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

LCM(13, 617) = 8021

GCD(13, 617) = ( 13 x 617 ) / 8021

GCD(13, 617) = 8021 / 8021

GCD(13, 617) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 297

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

LCM(1, 297) = 297

GCD(1, 297) = ( 1 x 297 ) / 297

GCD(1, 297) = 297 / 297

GCD(1, 297) = 1

GCD of 13, 156, 617, 297 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 58, 590, 841, 729
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• GCD of 73, 135, 607, 901
• GCD of 54, 769, 674, 683
• GCD of 15, 697, 386, 933

1. What is the GCD of 13, 156, 617, 297?

GCD of 13, 156, 617, 297 is 1

2. Where do I get the detailed procedure to find GCD of 13, 156, 617, 297?

You can find a detailed procedure to find GCD of 13, 156, 617, 297 on our page.

3. How to find GCD of 13, 156, 617, 297 on a calculator?

You can find the GCD of 13, 156, 617, 297 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.