GCD of 509, 722, 17, 988 Calculator

Given Input numbers are 509, 722, 17, 988

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 722

List of positive integer divisors of 722 that divides 722 without a remainder.

1, 2, 19, 38, 361, 722

Divisors of 17

List of positive integer divisors of 17 that divides 17 without a remainder.

1, 17

Divisors of 988

List of positive integer divisors of 988 that divides 988 without a remainder.

1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

Greatest Common Divisior

We found the divisors of 509, 722, 17, 988 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 509, 722, 17, 988 is 1.

Therefore, GCD of numbers 509, 722, 17, 988 is 1

Given Input Data is 509, 722, 17, 988

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

Prime Factorization of 509 is 509

Prime Factorization of 722 is 2 x 19 x 19

Prime Factorization of 17 is 17

Prime Factorization of 988 is 2 x 2 x 13 x 19

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, 722) = 367498

GCD(509, 722) = ( 509 x 722 ) / 367498

GCD(509, 722) = 367498 / 367498

GCD(509, 722) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 17

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

LCM(1, 17) = 17

GCD(1, 17) = ( 1 x 17 ) / 17

GCD(1, 17) = 17 / 17

GCD(1, 17) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 988

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

LCM(1, 988) = 988

GCD(1, 988) = ( 1 x 988 ) / 988

GCD(1, 988) = 988 / 988

GCD(1, 988) = 1

GCD of 509, 722, 17, 988 is 1

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1. What is the GCD of 509, 722, 17, 988?

GCD of 509, 722, 17, 988 is 1

2. Where do I get the detailed procedure to find GCD of 509, 722, 17, 988?

You can find a detailed procedure to find GCD of 509, 722, 17, 988 on our page.

3. How to find GCD of 509, 722, 17, 988 on a calculator?

You can find the GCD of 509, 722, 17, 988 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.