GCD of 510, 798, 38, 247 Calculator

Given Input numbers are 510, 798, 38, 247

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

Divisors of 510

List of positive integer divisors of 510 that divides 510 without a remainder.

1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510

Divisors of 798

List of positive integer divisors of 798 that divides 798 without a remainder.

1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

Divisors of 38

List of positive integer divisors of 38 that divides 38 without a remainder.

1, 2, 19, 38

Divisors of 247

List of positive integer divisors of 247 that divides 247 without a remainder.

1, 13, 19, 247

Greatest Common Divisior

We found the divisors of 510, 798, 38, 247 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 510, 798, 38, 247 is 1.

Therefore, GCD of numbers 510, 798, 38, 247 is 1

Given Input Data is 510, 798, 38, 247

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

Prime Factorization of 510 is 2 x 3 x 5 x 17

Prime Factorization of 798 is 2 x 3 x 7 x 19

Prime Factorization of 38 is 2 x 19

Prime Factorization of 247 is 13 x 19

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(510, 798) = 67830

GCD(510, 798) = ( 510 x 798 ) / 67830

GCD(510, 798) = 406980 / 67830

GCD(510, 798) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 38

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

LCM(6, 38) = 114

GCD(6, 38) = ( 6 x 38 ) / 114

GCD(6, 38) = 228 / 114

GCD(6, 38) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 247

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

LCM(2, 247) = 494

GCD(2, 247) = ( 2 x 247 ) / 494

GCD(2, 247) = 494 / 494

GCD(2, 247) = 1

GCD of 510, 798, 38, 247 is 1

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• GCD of 592, 962, 48, 524
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1. What is the GCD of 510, 798, 38, 247?

GCD of 510, 798, 38, 247 is 1

2. Where do I get the detailed procedure to find GCD of 510, 798, 38, 247?

You can find a detailed procedure to find GCD of 510, 798, 38, 247 on our page.

3. How to find GCD of 510, 798, 38, 247 on a calculator?

You can find the GCD of 510, 798, 38, 247 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.