GCD of 509, 331, 84, 785 Calculator

Given Input numbers are 509, 331, 84, 785

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 331

List of positive integer divisors of 331 that divides 331 without a remainder.

1, 331

Divisors of 84

List of positive integer divisors of 84 that divides 84 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

Divisors of 785

List of positive integer divisors of 785 that divides 785 without a remainder.

1, 5, 157, 785

Greatest Common Divisior

We found the divisors of 509, 331, 84, 785 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 509, 331, 84, 785 is 1.

Therefore, GCD of numbers 509, 331, 84, 785 is 1

Given Input Data is 509, 331, 84, 785

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

Prime Factorization of 509 is 509

Prime Factorization of 331 is 331

Prime Factorization of 84 is 2 x 2 x 3 x 7

Prime Factorization of 785 is 5 x 157

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, 331) = 168479

GCD(509, 331) = ( 509 x 331 ) / 168479

GCD(509, 331) = 168479 / 168479

GCD(509, 331) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 84

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

LCM(1, 84) = 84

GCD(1, 84) = ( 1 x 84 ) / 84

GCD(1, 84) = 84 / 84

GCD(1, 84) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 785

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

LCM(1, 785) = 785

GCD(1, 785) = ( 1 x 785 ) / 785

GCD(1, 785) = 785 / 785

GCD(1, 785) = 1

GCD of 509, 331, 84, 785 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 771, 772, 65, 937
• GCD of 324, 432, 87, 983
• GCD of 673, 618, 46, 206
• GCD of 708, 737, 89, 879
• GCD of 228, 483, 18, 457

1. What is the GCD of 509, 331, 84, 785?

GCD of 509, 331, 84, 785 is 1

2. Where do I get the detailed procedure to find GCD of 509, 331, 84, 785?

You can find a detailed procedure to find GCD of 509, 331, 84, 785 on our page.

3. How to find GCD of 509, 331, 84, 785 on a calculator?

You can find the GCD of 509, 331, 84, 785 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.