GCD of 590, 418, 928, 297 Calculator

Given Input numbers are 590, 418, 928, 297

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

Divisors of 590

List of positive integer divisors of 590 that divides 590 without a remainder.

1, 2, 5, 10, 59, 118, 295, 590

Divisors of 418

List of positive integer divisors of 418 that divides 418 without a remainder.

1, 2, 11, 19, 22, 38, 209, 418

Divisors of 928

List of positive integer divisors of 928 that divides 928 without a remainder.

1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928

Divisors of 297

List of positive integer divisors of 297 that divides 297 without a remainder.

1, 3, 9, 11, 27, 33, 99, 297

Greatest Common Divisior

We found the divisors of 590, 418, 928, 297 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 590, 418, 928, 297 is 1.

Therefore, GCD of numbers 590, 418, 928, 297 is 1

Given Input Data is 590, 418, 928, 297

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

Prime Factorization of 590 is 2 x 5 x 59

Prime Factorization of 418 is 2 x 11 x 19

Prime Factorization of 928 is 2 x 2 x 2 x 2 x 2 x 29

Prime Factorization of 297 is 3 x 3 x 3 x 11

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(590, 418) = 123310

GCD(590, 418) = ( 590 x 418 ) / 123310

GCD(590, 418) = 246620 / 123310

GCD(590, 418) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 928

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

LCM(2, 928) = 928

GCD(2, 928) = ( 2 x 928 ) / 928

GCD(2, 928) = 1856 / 928

GCD(2, 928) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 297

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

LCM(2, 297) = 594

GCD(2, 297) = ( 2 x 297 ) / 594

GCD(2, 297) = 594 / 594

GCD(2, 297) = 1

GCD of 590, 418, 928, 297 is 1

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• GCD of 658, 354, 266, 813
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• GCD of 333, 437, 267, 858

1. What is the GCD of 590, 418, 928, 297?

GCD of 590, 418, 928, 297 is 1

2. Where do I get the detailed procedure to find GCD of 590, 418, 928, 297?

You can find a detailed procedure to find GCD of 590, 418, 928, 297 on our page.

3. How to find GCD of 590, 418, 928, 297 on a calculator?

You can find the GCD of 590, 418, 928, 297 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.