GCD of 994, 782, 33, 507 Calculator

Given Input numbers are 994, 782, 33, 507

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

Divisors of 994

List of positive integer divisors of 994 that divides 994 without a remainder.

1, 2, 7, 14, 71, 142, 497, 994

Divisors of 782

List of positive integer divisors of 782 that divides 782 without a remainder.

1, 2, 17, 23, 34, 46, 391, 782

Divisors of 33

List of positive integer divisors of 33 that divides 33 without a remainder.

1, 3, 11, 33

Divisors of 507

List of positive integer divisors of 507 that divides 507 without a remainder.

1, 3, 13, 39, 169, 507

Greatest Common Divisior

We found the divisors of 994, 782, 33, 507 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 994, 782, 33, 507 is 1.

Therefore, GCD of numbers 994, 782, 33, 507 is 1

Given Input Data is 994, 782, 33, 507

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

Prime Factorization of 994 is 2 x 7 x 71

Prime Factorization of 782 is 2 x 17 x 23

Prime Factorization of 33 is 3 x 11

Prime Factorization of 507 is 3 x 13 x 13

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(994, 782) = 388654

GCD(994, 782) = ( 994 x 782 ) / 388654

GCD(994, 782) = 777308 / 388654

GCD(994, 782) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 33

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

LCM(2, 33) = 66

GCD(2, 33) = ( 2 x 33 ) / 66

GCD(2, 33) = 66 / 66

GCD(2, 33) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 507

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

LCM(1, 507) = 507

GCD(1, 507) = ( 1 x 507 ) / 507

GCD(1, 507) = 507 / 507

GCD(1, 507) = 1

GCD of 994, 782, 33, 507 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 821, 844, 82, 941
• GCD of 347, 384, 60, 380
• GCD of 977, 289, 69, 695
• GCD of 385, 936, 40, 905
• GCD of 142, 814, 79, 508

1. What is the GCD of 994, 782, 33, 507?

GCD of 994, 782, 33, 507 is 1

2. Where do I get the detailed procedure to find GCD of 994, 782, 33, 507?

You can find a detailed procedure to find GCD of 994, 782, 33, 507 on our page.

3. How to find GCD of 994, 782, 33, 507 on a calculator?

You can find the GCD of 994, 782, 33, 507 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.