GCD of 585, 509, 94, 989 Calculator

Given Input numbers are 585, 509, 94, 989

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

Divisors of 585

List of positive integer divisors of 585 that divides 585 without a remainder.

1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

Divisors of 509

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

1, 509

Divisors of 94

List of positive integer divisors of 94 that divides 94 without a remainder.

1, 2, 47, 94

Divisors of 989

List of positive integer divisors of 989 that divides 989 without a remainder.

1, 23, 43, 989

Greatest Common Divisior

We found the divisors of 585, 509, 94, 989 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 585, 509, 94, 989 is 1.

Therefore, GCD of numbers 585, 509, 94, 989 is 1

Given Input Data is 585, 509, 94, 989

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

Prime Factorization of 585 is 3 x 3 x 5 x 13

Prime Factorization of 509 is 509

Prime Factorization of 94 is 2 x 47

Prime Factorization of 989 is 23 x 43

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(585, 509) = 297765

GCD(585, 509) = ( 585 x 509 ) / 297765

GCD(585, 509) = 297765 / 297765

GCD(585, 509) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 94

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

LCM(1, 94) = 94

GCD(1, 94) = ( 1 x 94 ) / 94

GCD(1, 94) = 94 / 94

GCD(1, 94) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 989

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

LCM(1, 989) = 989

GCD(1, 989) = ( 1 x 989 ) / 989

GCD(1, 989) = 989 / 989

GCD(1, 989) = 1

GCD of 585, 509, 94, 989 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 936, 976, 52, 716
• GCD of 357, 341, 26, 943
• GCD of 935, 677, 47, 596
• GCD of 827, 954, 95, 933
• GCD of 891, 398, 34, 632

1. What is the GCD of 585, 509, 94, 989?

GCD of 585, 509, 94, 989 is 1

2. Where do I get the detailed procedure to find GCD of 585, 509, 94, 989?

You can find a detailed procedure to find GCD of 585, 509, 94, 989 on our page.

3. How to find GCD of 585, 509, 94, 989 on a calculator?

You can find the GCD of 585, 509, 94, 989 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.