GCD of 761, 998, 12, 509 Calculator

Given Input numbers are 761, 998, 12, 509

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

Divisors of 761

List of positive integer divisors of 761 that divides 761 without a remainder.

1, 761

Divisors of 998

List of positive integer divisors of 998 that divides 998 without a remainder.

1, 2, 499, 998

Divisors of 12

List of positive integer divisors of 12 that divides 12 without a remainder.

1, 2, 3, 4, 6, 12

Divisors of 509

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

1, 509

Greatest Common Divisior

We found the divisors of 761, 998, 12, 509 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 761, 998, 12, 509 is 1.

Therefore, GCD of numbers 761, 998, 12, 509 is 1

Given Input Data is 761, 998, 12, 509

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

Prime Factorization of 761 is 761

Prime Factorization of 998 is 2 x 499

Prime Factorization of 12 is 2 x 2 x 3

Prime Factorization of 509 is 509

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(761, 998) = 759478

GCD(761, 998) = ( 761 x 998 ) / 759478

GCD(761, 998) = 759478 / 759478

GCD(761, 998) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 12

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

LCM(1, 12) = 12

GCD(1, 12) = ( 1 x 12 ) / 12

GCD(1, 12) = 12 / 12

GCD(1, 12) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 509

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

LCM(1, 509) = 509

GCD(1, 509) = ( 1 x 509 ) / 509

GCD(1, 509) = 509 / 509

GCD(1, 509) = 1

GCD of 761, 998, 12, 509 is 1

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1. What is the GCD of 761, 998, 12, 509?

GCD of 761, 998, 12, 509 is 1

2. Where do I get the detailed procedure to find GCD of 761, 998, 12, 509?

You can find a detailed procedure to find GCD of 761, 998, 12, 509 on our page.

3. How to find GCD of 761, 998, 12, 509 on a calculator?

You can find the GCD of 761, 998, 12, 509 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.