GCD of 198, 161, 49, 724 Calculator

Given Input numbers are 198, 161, 49, 724

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 161

List of positive integer divisors of 161 that divides 161 without a remainder.

1, 7, 23, 161

Divisors of 49

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

1, 7, 49

Divisors of 724

List of positive integer divisors of 724 that divides 724 without a remainder.

1, 2, 4, 181, 362, 724

Greatest Common Divisior

We found the divisors of 198, 161, 49, 724 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 198, 161, 49, 724 is 1.

Therefore, GCD of numbers 198, 161, 49, 724 is 1

Given Input Data is 198, 161, 49, 724

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 161 is 7 x 23

Prime Factorization of 49 is 7 x 7

Prime Factorization of 724 is 2 x 2 x 181

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, 161) = 31878

GCD(198, 161) = ( 198 x 161 ) / 31878

GCD(198, 161) = 31878 / 31878

GCD(198, 161) = 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 724

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

LCM(1, 724) = 724

GCD(1, 724) = ( 1 x 724 ) / 724

GCD(1, 724) = 724 / 724

GCD(1, 724) = 1

GCD of 198, 161, 49, 724 is 1

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1. What is the GCD of 198, 161, 49, 724?

GCD of 198, 161, 49, 724 is 1

2. Where do I get the detailed procedure to find GCD of 198, 161, 49, 724?

You can find a detailed procedure to find GCD of 198, 161, 49, 724 on our page.

3. How to find GCD of 198, 161, 49, 724 on a calculator?

You can find the GCD of 198, 161, 49, 724 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.