GCD of 298, 630, 601, 512 Calculator

Given Input numbers are 298, 630, 601, 512

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

Divisors of 298

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

1, 2, 149, 298

Divisors of 630

List of positive integer divisors of 630 that divides 630 without a remainder.

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630

Divisors of 601

List of positive integer divisors of 601 that divides 601 without a remainder.

1, 601

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

Greatest Common Divisior

We found the divisors of 298, 630, 601, 512 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 298, 630, 601, 512 is 1.

Therefore, GCD of numbers 298, 630, 601, 512 is 1

Given Input Data is 298, 630, 601, 512

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

Prime Factorization of 298 is 2 x 149

Prime Factorization of 630 is 2 x 3 x 3 x 5 x 7

Prime Factorization of 601 is 601

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

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(298, 630) = 93870

GCD(298, 630) = ( 298 x 630 ) / 93870

GCD(298, 630) = 187740 / 93870

GCD(298, 630) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 601

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

LCM(2, 601) = 1202

GCD(2, 601) = ( 2 x 601 ) / 1202

GCD(2, 601) = 1202 / 1202

GCD(2, 601) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 512

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

LCM(1, 512) = 512

GCD(1, 512) = ( 1 x 512 ) / 512

GCD(1, 512) = 512 / 512

GCD(1, 512) = 1

GCD of 298, 630, 601, 512 is 1

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1. What is the GCD of 298, 630, 601, 512?

GCD of 298, 630, 601, 512 is 1

2. Where do I get the detailed procedure to find GCD of 298, 630, 601, 512?

You can find a detailed procedure to find GCD of 298, 630, 601, 512 on our page.

3. How to find GCD of 298, 630, 601, 512 on a calculator?

You can find the GCD of 298, 630, 601, 512 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.