GCD of 278, 198, 245, 554 Calculator

Given Input numbers are 278, 198, 245, 554

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

Divisors of 278

List of positive integer divisors of 278 that divides 278 without a remainder.

1, 2, 139, 278

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 245

List of positive integer divisors of 245 that divides 245 without a remainder.

1, 5, 7, 35, 49, 245

Divisors of 554

List of positive integer divisors of 554 that divides 554 without a remainder.

1, 2, 277, 554

Greatest Common Divisior

We found the divisors of 278, 198, 245, 554 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 278, 198, 245, 554 is 1.

Therefore, GCD of numbers 278, 198, 245, 554 is 1

Given Input Data is 278, 198, 245, 554

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

Prime Factorization of 278 is 2 x 139

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

Prime Factorization of 245 is 5 x 7 x 7

Prime Factorization of 554 is 2 x 277

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(278, 198) = 27522

GCD(278, 198) = ( 278 x 198 ) / 27522

GCD(278, 198) = 55044 / 27522

GCD(278, 198) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 245

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

LCM(2, 245) = 490

GCD(2, 245) = ( 2 x 245 ) / 490

GCD(2, 245) = 490 / 490

GCD(2, 245) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 554

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

LCM(1, 554) = 554

GCD(1, 554) = ( 1 x 554 ) / 554

GCD(1, 554) = 554 / 554

GCD(1, 554) = 1

GCD of 278, 198, 245, 554 is 1

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1. What is the GCD of 278, 198, 245, 554?

GCD of 278, 198, 245, 554 is 1

2. Where do I get the detailed procedure to find GCD of 278, 198, 245, 554?

You can find a detailed procedure to find GCD of 278, 198, 245, 554 on our page.

3. How to find GCD of 278, 198, 245, 554 on a calculator?

You can find the GCD of 278, 198, 245, 554 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.