GCD of 560, 390, 171, 115 Calculator

Given Input numbers are 560, 390, 171, 115

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

Divisors of 560

List of positive integer divisors of 560 that divides 560 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

Divisors of 390

List of positive integer divisors of 390 that divides 390 without a remainder.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

Divisors of 171

List of positive integer divisors of 171 that divides 171 without a remainder.

1, 3, 9, 19, 57, 171

Divisors of 115

List of positive integer divisors of 115 that divides 115 without a remainder.

1, 5, 23, 115

Greatest Common Divisior

We found the divisors of 560, 390, 171, 115 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 560, 390, 171, 115 is 1.

Therefore, GCD of numbers 560, 390, 171, 115 is 1

Given Input Data is 560, 390, 171, 115

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

Prime Factorization of 560 is 2 x 2 x 2 x 2 x 5 x 7

Prime Factorization of 390 is 2 x 3 x 5 x 13

Prime Factorization of 171 is 3 x 3 x 19

Prime Factorization of 115 is 5 x 23

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(560, 390) = 21840

GCD(560, 390) = ( 560 x 390 ) / 21840

GCD(560, 390) = 218400 / 21840

GCD(560, 390) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 171

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

LCM(10, 171) = 1710

GCD(10, 171) = ( 10 x 171 ) / 1710

GCD(10, 171) = 1710 / 1710

GCD(10, 171) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 115

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

LCM(1, 115) = 115

GCD(1, 115) = ( 1 x 115 ) / 115

GCD(1, 115) = 115 / 115

GCD(1, 115) = 1

GCD of 560, 390, 171, 115 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 117, 760, 649, 338
• GCD of 209, 144, 153, 333
• GCD of 450, 485, 928, 430
• GCD of 684, 370, 122, 940
• GCD of 929, 401, 259, 458

1. What is the GCD of 560, 390, 171, 115?

GCD of 560, 390, 171, 115 is 1

2. Where do I get the detailed procedure to find GCD of 560, 390, 171, 115?

You can find a detailed procedure to find GCD of 560, 390, 171, 115 on our page.

3. How to find GCD of 560, 390, 171, 115 on a calculator?

You can find the GCD of 560, 390, 171, 115 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.