GCD of 498, 407, 49, 994 Calculator

Given Input numbers are 498, 407, 49, 994

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

Divisors of 498

List of positive integer divisors of 498 that divides 498 without a remainder.

1, 2, 3, 6, 83, 166, 249, 498

Divisors of 407

List of positive integer divisors of 407 that divides 407 without a remainder.

1, 11, 37, 407

Divisors of 49

List of positive integer divisors of 49 that divides 49 without a remainder.

1, 7, 49

Divisors of 994

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

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

Greatest Common Divisior

We found the divisors of 498, 407, 49, 994 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 498, 407, 49, 994 is 1.

Therefore, GCD of numbers 498, 407, 49, 994 is 1

Given Input Data is 498, 407, 49, 994

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

Prime Factorization of 498 is 2 x 3 x 83

Prime Factorization of 407 is 11 x 37

Prime Factorization of 49 is 7 x 7

Prime Factorization of 994 is 2 x 7 x 71

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(498, 407) = 202686

GCD(498, 407) = ( 498 x 407 ) / 202686

GCD(498, 407) = 202686 / 202686

GCD(498, 407) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 49

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

LCM(1, 49) = 49

GCD(1, 49) = ( 1 x 49 ) / 49

GCD(1, 49) = 49 / 49

GCD(1, 49) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 994

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

LCM(1, 994) = 994

GCD(1, 994) = ( 1 x 994 ) / 994

GCD(1, 994) = 994 / 994

GCD(1, 994) = 1

GCD of 498, 407, 49, 994 is 1

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1. What is the GCD of 498, 407, 49, 994?

GCD of 498, 407, 49, 994 is 1

2. Where do I get the detailed procedure to find GCD of 498, 407, 49, 994?

You can find a detailed procedure to find GCD of 498, 407, 49, 994 on our page.

3. How to find GCD of 498, 407, 49, 994 on a calculator?

You can find the GCD of 498, 407, 49, 994 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.