GCD of 198, 685, 61, 232 Calculator

Given Input numbers are 198, 685, 61, 232

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 685

List of positive integer divisors of 685 that divides 685 without a remainder.

1, 5, 137, 685

Divisors of 61

List of positive integer divisors of 61 that divides 61 without a remainder.

1, 61

Divisors of 232

List of positive integer divisors of 232 that divides 232 without a remainder.

1, 2, 4, 8, 29, 58, 116, 232

Greatest Common Divisior

We found the divisors of 198, 685, 61, 232 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 198, 685, 61, 232 is 1.

Therefore, GCD of numbers 198, 685, 61, 232 is 1

Given Input Data is 198, 685, 61, 232

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 685 is 5 x 137

Prime Factorization of 61 is 61

Prime Factorization of 232 is 2 x 2 x 2 x 29

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, 685) = 135630

GCD(198, 685) = ( 198 x 685 ) / 135630

GCD(198, 685) = 135630 / 135630

GCD(198, 685) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 61

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

LCM(1, 61) = 61

GCD(1, 61) = ( 1 x 61 ) / 61

GCD(1, 61) = 61 / 61

GCD(1, 61) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 232

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

LCM(1, 232) = 232

GCD(1, 232) = ( 1 x 232 ) / 232

GCD(1, 232) = 232 / 232

GCD(1, 232) = 1

GCD of 198, 685, 61, 232 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 195, 784, 64, 442
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• GCD of 700, 865, 46, 413
• GCD of 712, 257, 98, 105
• GCD of 461, 361, 44, 377

1. What is the GCD of 198, 685, 61, 232?

GCD of 198, 685, 61, 232 is 1

2. Where do I get the detailed procedure to find GCD of 198, 685, 61, 232?

You can find a detailed procedure to find GCD of 198, 685, 61, 232 on our page.

3. How to find GCD of 198, 685, 61, 232 on a calculator?

You can find the GCD of 198, 685, 61, 232 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.