GCD of 98, 279, 226, 524 Calculator

Given Input numbers are 98, 279, 226, 524

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

Divisors of 98

List of positive integer divisors of 98 that divides 98 without a remainder.

1, 2, 7, 14, 49, 98

Divisors of 279

List of positive integer divisors of 279 that divides 279 without a remainder.

1, 3, 9, 31, 93, 279

Divisors of 226

List of positive integer divisors of 226 that divides 226 without a remainder.

1, 2, 113, 226

Divisors of 524

List of positive integer divisors of 524 that divides 524 without a remainder.

1, 2, 4, 131, 262, 524

Greatest Common Divisior

We found the divisors of 98, 279, 226, 524 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 98, 279, 226, 524 is 1.

Therefore, GCD of numbers 98, 279, 226, 524 is 1

Given Input Data is 98, 279, 226, 524

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

Prime Factorization of 98 is 2 x 7 x 7

Prime Factorization of 279 is 3 x 3 x 31

Prime Factorization of 226 is 2 x 113

Prime Factorization of 524 is 2 x 2 x 131

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(98, 279) = 27342

GCD(98, 279) = ( 98 x 279 ) / 27342

GCD(98, 279) = 27342 / 27342

GCD(98, 279) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 226

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

LCM(1, 226) = 226

GCD(1, 226) = ( 1 x 226 ) / 226

GCD(1, 226) = 226 / 226

GCD(1, 226) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 524

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

LCM(1, 524) = 524

GCD(1, 524) = ( 1 x 524 ) / 524

GCD(1, 524) = 524 / 524

GCD(1, 524) = 1

GCD of 98, 279, 226, 524 is 1

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1. What is the GCD of 98, 279, 226, 524?

GCD of 98, 279, 226, 524 is 1

2. Where do I get the detailed procedure to find GCD of 98, 279, 226, 524?

You can find a detailed procedure to find GCD of 98, 279, 226, 524 on our page.

3. How to find GCD of 98, 279, 226, 524 on a calculator?

You can find the GCD of 98, 279, 226, 524 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.