GCD of 58, 315, 185, 298 Calculator

Given Input numbers are 58, 315, 185, 298

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

Divisors of 58

List of positive integer divisors of 58 that divides 58 without a remainder.

1, 2, 29, 58

Divisors of 315

List of positive integer divisors of 315 that divides 315 without a remainder.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

Divisors of 185

List of positive integer divisors of 185 that divides 185 without a remainder.

1, 5, 37, 185

Divisors of 298

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

1, 2, 149, 298

Greatest Common Divisior

We found the divisors of 58, 315, 185, 298 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 58, 315, 185, 298 is 1.

Therefore, GCD of numbers 58, 315, 185, 298 is 1

Given Input Data is 58, 315, 185, 298

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

Prime Factorization of 58 is 2 x 29

Prime Factorization of 315 is 3 x 3 x 5 x 7

Prime Factorization of 185 is 5 x 37

Prime Factorization of 298 is 2 x 149

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(58, 315) = 18270

GCD(58, 315) = ( 58 x 315 ) / 18270

GCD(58, 315) = 18270 / 18270

GCD(58, 315) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 185

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

LCM(1, 185) = 185

GCD(1, 185) = ( 1 x 185 ) / 185

GCD(1, 185) = 185 / 185

GCD(1, 185) = 1

Step3:

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

GCD of 58, 315, 185, 298 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 85, 710, 874, 621
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• GCD of 12, 649, 771, 345
• GCD of 10, 379, 389, 783

1. What is the GCD of 58, 315, 185, 298?

GCD of 58, 315, 185, 298 is 1

2. Where do I get the detailed procedure to find GCD of 58, 315, 185, 298?

You can find a detailed procedure to find GCD of 58, 315, 185, 298 on our page.

3. How to find GCD of 58, 315, 185, 298 on a calculator?

You can find the GCD of 58, 315, 185, 298 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.