GCD of 494, 994, 37, 527 Calculator

Given Input numbers are 494, 994, 37, 527

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

Divisors of 494

List of positive integer divisors of 494 that divides 494 without a remainder.

1, 2, 13, 19, 26, 38, 247, 494

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 37

List of positive integer divisors of 37 that divides 37 without a remainder.

1, 37

Divisors of 527

List of positive integer divisors of 527 that divides 527 without a remainder.

1, 17, 31, 527

Greatest Common Divisior

We found the divisors of 494, 994, 37, 527 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 494, 994, 37, 527 is 1.

Therefore, GCD of numbers 494, 994, 37, 527 is 1

Given Input Data is 494, 994, 37, 527

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

Prime Factorization of 494 is 2 x 13 x 19

Prime Factorization of 994 is 2 x 7 x 71

Prime Factorization of 37 is 37

Prime Factorization of 527 is 17 x 31

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(494, 994) = 245518

GCD(494, 994) = ( 494 x 994 ) / 245518

GCD(494, 994) = 491036 / 245518

GCD(494, 994) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 37

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

LCM(2, 37) = 74

GCD(2, 37) = ( 2 x 37 ) / 74

GCD(2, 37) = 74 / 74

GCD(2, 37) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 527

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

LCM(1, 527) = 527

GCD(1, 527) = ( 1 x 527 ) / 527

GCD(1, 527) = 527 / 527

GCD(1, 527) = 1

GCD of 494, 994, 37, 527 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 606, 277, 23, 447
• GCD of 574, 887, 68, 660
• GCD of 670, 822, 46, 634
• GCD of 142, 261, 37, 649
• GCD of 206, 548, 60, 598

1. What is the GCD of 494, 994, 37, 527?

GCD of 494, 994, 37, 527 is 1

2. Where do I get the detailed procedure to find GCD of 494, 994, 37, 527?

You can find a detailed procedure to find GCD of 494, 994, 37, 527 on our page.

3. How to find GCD of 494, 994, 37, 527 on a calculator?

You can find the GCD of 494, 994, 37, 527 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.