GCD of 113, 558, 298, 370 Calculator

Given Input numbers are 113, 558, 298, 370

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

Divisors of 113

List of positive integer divisors of 113 that divides 113 without a remainder.

1, 113

Divisors of 558

List of positive integer divisors of 558 that divides 558 without a remainder.

1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558

Divisors of 298

List of positive integer divisors of 298 that divides 298 without a remainder.

1, 2, 149, 298

Divisors of 370

List of positive integer divisors of 370 that divides 370 without a remainder.

1, 2, 5, 10, 37, 74, 185, 370

Greatest Common Divisior

We found the divisors of 113, 558, 298, 370 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 113, 558, 298, 370 is 1.

Therefore, GCD of numbers 113, 558, 298, 370 is 1

Given Input Data is 113, 558, 298, 370

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

Prime Factorization of 113 is 113

Prime Factorization of 558 is 2 x 3 x 3 x 31

Prime Factorization of 298 is 2 x 149

Prime Factorization of 370 is 2 x 5 x 37

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(113, 558) = 63054

GCD(113, 558) = ( 113 x 558 ) / 63054

GCD(113, 558) = 63054 / 63054

GCD(113, 558) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 298

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

LCM(1, 298) = 298

GCD(1, 298) = ( 1 x 298 ) / 298

GCD(1, 298) = 298 / 298

GCD(1, 298) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 370

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

LCM(1, 370) = 370

GCD(1, 370) = ( 1 x 370 ) / 370

GCD(1, 370) = 370 / 370

GCD(1, 370) = 1

GCD of 113, 558, 298, 370 is 1

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1. What is the GCD of 113, 558, 298, 370?

GCD of 113, 558, 298, 370 is 1

2. Where do I get the detailed procedure to find GCD of 113, 558, 298, 370?

You can find a detailed procedure to find GCD of 113, 558, 298, 370 on our page.

3. How to find GCD of 113, 558, 298, 370 on a calculator?

You can find the GCD of 113, 558, 298, 370 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.