GCD of 198, 280, 933, 425 Calculator

Given Input numbers are 198, 280, 933, 425

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 280

List of positive integer divisors of 280 that divides 280 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

Divisors of 933

List of positive integer divisors of 933 that divides 933 without a remainder.

1, 3, 311, 933

Divisors of 425

List of positive integer divisors of 425 that divides 425 without a remainder.

1, 5, 17, 25, 85, 425

Greatest Common Divisior

We found the divisors of 198, 280, 933, 425 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 198, 280, 933, 425 is 1.

Therefore, GCD of numbers 198, 280, 933, 425 is 1

Given Input Data is 198, 280, 933, 425

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 280 is 2 x 2 x 2 x 5 x 7

Prime Factorization of 933 is 3 x 311

Prime Factorization of 425 is 5 x 5 x 17

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, 280) = 27720

GCD(198, 280) = ( 198 x 280 ) / 27720

GCD(198, 280) = 55440 / 27720

GCD(198, 280) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 933

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

LCM(2, 933) = 1866

GCD(2, 933) = ( 2 x 933 ) / 1866

GCD(2, 933) = 1866 / 1866

GCD(2, 933) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 425

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

LCM(1, 425) = 425

GCD(1, 425) = ( 1 x 425 ) / 425

GCD(1, 425) = 425 / 425

GCD(1, 425) = 1

GCD of 198, 280, 933, 425 is 1

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• GCD of 159, 179, 380, 678
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1. What is the GCD of 198, 280, 933, 425?

GCD of 198, 280, 933, 425 is 1

2. Where do I get the detailed procedure to find GCD of 198, 280, 933, 425?

You can find a detailed procedure to find GCD of 198, 280, 933, 425 on our page.

3. How to find GCD of 198, 280, 933, 425 on a calculator?

You can find the GCD of 198, 280, 933, 425 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.