GCD of 198, 709, 505 Calculator

Given Input numbers are 198, 709, 505

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 709

List of positive integer divisors of 709 that divides 709 without a remainder.

1, 709

Divisors of 505

List of positive integer divisors of 505 that divides 505 without a remainder.

1, 5, 101, 505

Greatest Common Divisior

We found the divisors of 198, 709, 505 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 198, 709, 505 is 1.

Therefore, GCD of numbers 198, 709, 505 is 1

Given Input Data is 198, 709, 505

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 709 is 709

Prime Factorization of 505 is 5 x 101

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, 709) = 140382

GCD(198, 709) = ( 198 x 709 ) / 140382

GCD(198, 709) = 140382 / 140382

GCD(198, 709) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 505

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

LCM(1, 505) = 505

GCD(1, 505) = ( 1 x 505 ) / 505

GCD(1, 505) = 505 / 505

GCD(1, 505) = 1

GCD of 198, 709, 505 is 1

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1. What is the GCD of 198, 709, 505?

GCD of 198, 709, 505 is 1

2. Where do I get the detailed procedure to find GCD of 198, 709, 505?

You can find a detailed procedure to find GCD of 198, 709, 505 on our page.

3. How to find GCD of 198, 709, 505 on a calculator?

You can find the GCD of 198, 709, 505 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.