GCD of 198, 494, 67, 448 Calculator

Given Input numbers are 198, 494, 67, 448

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 494

List of positive integer divisors of 494 that divides 494 without a remainder.

1, 2, 13, 19, 26, 38, 247, 494

Divisors of 67

List of positive integer divisors of 67 that divides 67 without a remainder.

1, 67

Divisors of 448

List of positive integer divisors of 448 that divides 448 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448

Greatest Common Divisior

We found the divisors of 198, 494, 67, 448 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 198, 494, 67, 448 is 1.

Therefore, GCD of numbers 198, 494, 67, 448 is 1

Given Input Data is 198, 494, 67, 448

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 494 is 2 x 13 x 19

Prime Factorization of 67 is 67

Prime Factorization of 448 is 2 x 2 x 2 x 2 x 2 x 2 x 7

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, 494) = 48906

GCD(198, 494) = ( 198 x 494 ) / 48906

GCD(198, 494) = 97812 / 48906

GCD(198, 494) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 67

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

LCM(2, 67) = 134

GCD(2, 67) = ( 2 x 67 ) / 134

GCD(2, 67) = 134 / 134

GCD(2, 67) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 448

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

LCM(1, 448) = 448

GCD(1, 448) = ( 1 x 448 ) / 448

GCD(1, 448) = 448 / 448

GCD(1, 448) = 1

GCD of 198, 494, 67, 448 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 498, 536, 81, 512
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• GCD of 422, 319, 90, 335
• GCD of 522, 982, 13, 144
• GCD of 430, 473, 66, 545

1. What is the GCD of 198, 494, 67, 448?

GCD of 198, 494, 67, 448 is 1

2. Where do I get the detailed procedure to find GCD of 198, 494, 67, 448?

You can find a detailed procedure to find GCD of 198, 494, 67, 448 on our page.

3. How to find GCD of 198, 494, 67, 448 on a calculator?

You can find the GCD of 198, 494, 67, 448 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.