GCD of 509, 714, 180, 917 Calculator

Given Input numbers are 509, 714, 180, 917

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

Divisors of 509

List of positive integer divisors of 509 that divides 509 without a remainder.

1, 509

Divisors of 714

List of positive integer divisors of 714 that divides 714 without a remainder.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

Divisors of 180

List of positive integer divisors of 180 that divides 180 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Divisors of 917

List of positive integer divisors of 917 that divides 917 without a remainder.

1, 7, 131, 917

Greatest Common Divisior

We found the divisors of 509, 714, 180, 917 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 509, 714, 180, 917 is 1.

Therefore, GCD of numbers 509, 714, 180, 917 is 1

Given Input Data is 509, 714, 180, 917

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

Prime Factorization of 509 is 509

Prime Factorization of 714 is 2 x 3 x 7 x 17

Prime Factorization of 180 is 2 x 2 x 3 x 3 x 5

Prime Factorization of 917 is 7 x 131

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(509, 714) = 363426

GCD(509, 714) = ( 509 x 714 ) / 363426

GCD(509, 714) = 363426 / 363426

GCD(509, 714) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 180

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

LCM(1, 180) = 180

GCD(1, 180) = ( 1 x 180 ) / 180

GCD(1, 180) = 180 / 180

GCD(1, 180) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 917

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

LCM(1, 917) = 917

GCD(1, 917) = ( 1 x 917 ) / 917

GCD(1, 917) = 917 / 917

GCD(1, 917) = 1

GCD of 509, 714, 180, 917 is 1

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1. What is the GCD of 509, 714, 180, 917?

GCD of 509, 714, 180, 917 is 1

2. Where do I get the detailed procedure to find GCD of 509, 714, 180, 917?

You can find a detailed procedure to find GCD of 509, 714, 180, 917 on our page.

3. How to find GCD of 509, 714, 180, 917 on a calculator?

You can find the GCD of 509, 714, 180, 917 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.