GCD of 356, 297, 469, 198 Calculator

Given Input numbers are 356, 297, 469, 198

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

Divisors of 356

List of positive integer divisors of 356 that divides 356 without a remainder.

1, 2, 4, 89, 178, 356

Divisors of 297

List of positive integer divisors of 297 that divides 297 without a remainder.

1, 3, 9, 11, 27, 33, 99, 297

Divisors of 469

List of positive integer divisors of 469 that divides 469 without a remainder.

1, 7, 67, 469

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

Greatest Common Divisior

We found the divisors of 356, 297, 469, 198 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 356, 297, 469, 198 is 1.

Therefore, GCD of numbers 356, 297, 469, 198 is 1

Given Input Data is 356, 297, 469, 198

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

Prime Factorization of 356 is 2 x 2 x 89

Prime Factorization of 297 is 3 x 3 x 3 x 11

Prime Factorization of 469 is 7 x 67

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

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(356, 297) = 105732

GCD(356, 297) = ( 356 x 297 ) / 105732

GCD(356, 297) = 105732 / 105732

GCD(356, 297) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 469

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

LCM(1, 469) = 469

GCD(1, 469) = ( 1 x 469 ) / 469

GCD(1, 469) = 469 / 469

GCD(1, 469) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 198

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

LCM(1, 198) = 198

GCD(1, 198) = ( 1 x 198 ) / 198

GCD(1, 198) = 198 / 198

GCD(1, 198) = 1

GCD of 356, 297, 469, 198 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 348, 881, 418, 202
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• GCD of 791, 593, 360, 899

1. What is the GCD of 356, 297, 469, 198?

GCD of 356, 297, 469, 198 is 1

2. Where do I get the detailed procedure to find GCD of 356, 297, 469, 198?

You can find a detailed procedure to find GCD of 356, 297, 469, 198 on our page.

3. How to find GCD of 356, 297, 469, 198 on a calculator?

You can find the GCD of 356, 297, 469, 198 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.