GCD of 198, 783, 79, 523 Calculator

Given Input numbers are 198, 783, 79, 523

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

Divisors of 198

List of positive integer divisors of 198 that divides 198 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

Divisors of 783

List of positive integer divisors of 783 that divides 783 without a remainder.

1, 3, 9, 27, 29, 87, 261, 783

Divisors of 79

List of positive integer divisors of 79 that divides 79 without a remainder.

1, 79

Divisors of 523

List of positive integer divisors of 523 that divides 523 without a remainder.

1, 523

Greatest Common Divisior

We found the divisors of 198, 783, 79, 523 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 198, 783, 79, 523 is 1.

Therefore, GCD of numbers 198, 783, 79, 523 is 1

Given Input Data is 198, 783, 79, 523

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

Prime Factorization of 198 is 2 x 3 x 3 x 11

Prime Factorization of 783 is 3 x 3 x 3 x 29

Prime Factorization of 79 is 79

Prime Factorization of 523 is 523

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(198, 783) = 17226

GCD(198, 783) = ( 198 x 783 ) / 17226

GCD(198, 783) = 155034 / 17226

GCD(198, 783) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 79

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

LCM(9, 79) = 711

GCD(9, 79) = ( 9 x 79 ) / 711

GCD(9, 79) = 711 / 711

GCD(9, 79) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 523

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

LCM(1, 523) = 523

GCD(1, 523) = ( 1 x 523 ) / 523

GCD(1, 523) = 523 / 523

GCD(1, 523) = 1

GCD of 198, 783, 79, 523 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 402, 425, 57, 642
• GCD of 622, 303, 24, 968
• GCD of 900, 702, 16, 295
• GCD of 924, 131, 17, 769
• GCD of 695, 623, 72, 883

1. What is the GCD of 198, 783, 79, 523?

GCD of 198, 783, 79, 523 is 1

2. Where do I get the detailed procedure to find GCD of 198, 783, 79, 523?

You can find a detailed procedure to find GCD of 198, 783, 79, 523 on our page.

3. How to find GCD of 198, 783, 79, 523 on a calculator?

You can find the GCD of 198, 783, 79, 523 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.