GCD of 275, 580, 17, 298 Calculator

Given Input numbers are 275, 580, 17, 298

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

Divisors of 275

List of positive integer divisors of 275 that divides 275 without a remainder.

1, 5, 11, 25, 55, 275

Divisors of 580

List of positive integer divisors of 580 that divides 580 without a remainder.

1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

Divisors of 17

List of positive integer divisors of 17 that divides 17 without a remainder.

1, 17

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 275, 580, 17, 298 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 275, 580, 17, 298 is 1.

Therefore, GCD of numbers 275, 580, 17, 298 is 1

Given Input Data is 275, 580, 17, 298

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

Prime Factorization of 275 is 5 x 5 x 11

Prime Factorization of 580 is 2 x 2 x 5 x 29

Prime Factorization of 17 is 17

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(275, 580) = 31900

GCD(275, 580) = ( 275 x 580 ) / 31900

GCD(275, 580) = 159500 / 31900

GCD(275, 580) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 17

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

LCM(5, 17) = 85

GCD(5, 17) = ( 5 x 17 ) / 85

GCD(5, 17) = 85 / 85

GCD(5, 17) = 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 275, 580, 17, 298 is 1

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• GCD of 618, 484, 91, 565
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1. What is the GCD of 275, 580, 17, 298?

GCD of 275, 580, 17, 298 is 1

2. Where do I get the detailed procedure to find GCD of 275, 580, 17, 298?

You can find a detailed procedure to find GCD of 275, 580, 17, 298 on our page.

3. How to find GCD of 275, 580, 17, 298 on a calculator?

You can find the GCD of 275, 580, 17, 298 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.