GCD of 431, 517, 71, 360 Calculator

Given Input numbers are 431, 517, 71, 360

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

Divisors of 431

List of positive integer divisors of 431 that divides 431 without a remainder.

1, 431

Divisors of 517

List of positive integer divisors of 517 that divides 517 without a remainder.

1, 11, 47, 517

Divisors of 71

List of positive integer divisors of 71 that divides 71 without a remainder.

1, 71

Divisors of 360

List of positive integer divisors of 360 that divides 360 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Greatest Common Divisior

We found the divisors of 431, 517, 71, 360 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 431, 517, 71, 360 is 1.

Therefore, GCD of numbers 431, 517, 71, 360 is 1

Given Input Data is 431, 517, 71, 360

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

Prime Factorization of 431 is 431

Prime Factorization of 517 is 11 x 47

Prime Factorization of 71 is 71

Prime Factorization of 360 is 2 x 2 x 2 x 3 x 3 x 5

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(431, 517) = 222827

GCD(431, 517) = ( 431 x 517 ) / 222827

GCD(431, 517) = 222827 / 222827

GCD(431, 517) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 71

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

LCM(1, 71) = 71

GCD(1, 71) = ( 1 x 71 ) / 71

GCD(1, 71) = 71 / 71

GCD(1, 71) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 360

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

LCM(1, 360) = 360

GCD(1, 360) = ( 1 x 360 ) / 360

GCD(1, 360) = 360 / 360

GCD(1, 360) = 1

GCD of 431, 517, 71, 360 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 164, 912, 42, 445
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• GCD of 872, 760, 78, 607

1. What is the GCD of 431, 517, 71, 360?

GCD of 431, 517, 71, 360 is 1

2. Where do I get the detailed procedure to find GCD of 431, 517, 71, 360?

You can find a detailed procedure to find GCD of 431, 517, 71, 360 on our page.

3. How to find GCD of 431, 517, 71, 360 on a calculator?

You can find the GCD of 431, 517, 71, 360 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.