GCD of 99, 694, 298, 506 Calculator

Given Input numbers are 99, 694, 298, 506

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

Divisors of 99

List of positive integer divisors of 99 that divides 99 without a remainder.

1, 3, 9, 11, 33, 99

Divisors of 694

List of positive integer divisors of 694 that divides 694 without a remainder.

1, 2, 347, 694

Divisors of 298

List of positive integer divisors of 298 that divides 298 without a remainder.

1, 2, 149, 298

Divisors of 506

List of positive integer divisors of 506 that divides 506 without a remainder.

1, 2, 11, 22, 23, 46, 253, 506

Greatest Common Divisior

We found the divisors of 99, 694, 298, 506 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 99, 694, 298, 506 is 1.

Therefore, GCD of numbers 99, 694, 298, 506 is 1

Given Input Data is 99, 694, 298, 506

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

Prime Factorization of 99 is 3 x 3 x 11

Prime Factorization of 694 is 2 x 347

Prime Factorization of 298 is 2 x 149

Prime Factorization of 506 is 2 x 11 x 23

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(99, 694) = 68706

GCD(99, 694) = ( 99 x 694 ) / 68706

GCD(99, 694) = 68706 / 68706

GCD(99, 694) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 298

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

LCM(1, 298) = 298

GCD(1, 298) = ( 1 x 298 ) / 298

GCD(1, 298) = 298 / 298

GCD(1, 298) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 506

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

LCM(1, 506) = 506

GCD(1, 506) = ( 1 x 506 ) / 506

GCD(1, 506) = 506 / 506

GCD(1, 506) = 1

GCD of 99, 694, 298, 506 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 13, 949, 504, 992
• GCD of 31, 499, 432, 938
• GCD of 51, 871, 177, 126
• GCD of 47, 402, 456, 727
• GCD of 75, 905, 185, 460

1. What is the GCD of 99, 694, 298, 506?

GCD of 99, 694, 298, 506 is 1

2. Where do I get the detailed procedure to find GCD of 99, 694, 298, 506?

You can find a detailed procedure to find GCD of 99, 694, 298, 506 on our page.

3. How to find GCD of 99, 694, 298, 506 on a calculator?

You can find the GCD of 99, 694, 298, 506 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.