GCD of 512, 745, 588, 298 Calculator

Given Input numbers are 512, 745, 588, 298

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

Divisors of 512

List of positive integer divisors of 512 that divides 512 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 256, 512

Divisors of 745

List of positive integer divisors of 745 that divides 745 without a remainder.

1, 5, 149, 745

Divisors of 588

List of positive integer divisors of 588 that divides 588 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

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 512, 745, 588, 298 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 512, 745, 588, 298 is 1.

Therefore, GCD of numbers 512, 745, 588, 298 is 1

Given Input Data is 512, 745, 588, 298

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

Prime Factorization of 512 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

Prime Factorization of 745 is 5 x 149

Prime Factorization of 588 is 2 x 2 x 3 x 7 x 7

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(512, 745) = 381440

GCD(512, 745) = ( 512 x 745 ) / 381440

GCD(512, 745) = 381440 / 381440

GCD(512, 745) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 588

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

LCM(1, 588) = 588

GCD(1, 588) = ( 1 x 588 ) / 588

GCD(1, 588) = 588 / 588

GCD(1, 588) = 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 512, 745, 588, 298 is 1

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1. What is the GCD of 512, 745, 588, 298?

GCD of 512, 745, 588, 298 is 1

2. Where do I get the detailed procedure to find GCD of 512, 745, 588, 298?

You can find a detailed procedure to find GCD of 512, 745, 588, 298 on our page.

3. How to find GCD of 512, 745, 588, 298 on a calculator?

You can find the GCD of 512, 745, 588, 298 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.