GCD of 518, 544, 781, 387 Calculator

Given Input numbers are 518, 544, 781, 387

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

Divisors of 518

List of positive integer divisors of 518 that divides 518 without a remainder.

1, 2, 7, 14, 37, 74, 259, 518

Divisors of 544

List of positive integer divisors of 544 that divides 544 without a remainder.

1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544

Divisors of 781

List of positive integer divisors of 781 that divides 781 without a remainder.

1, 11, 71, 781

Divisors of 387

List of positive integer divisors of 387 that divides 387 without a remainder.

1, 3, 9, 43, 129, 387

Greatest Common Divisior

We found the divisors of 518, 544, 781, 387 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 518, 544, 781, 387 is 1.

Therefore, GCD of numbers 518, 544, 781, 387 is 1

Given Input Data is 518, 544, 781, 387

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

Prime Factorization of 518 is 2 x 7 x 37

Prime Factorization of 544 is 2 x 2 x 2 x 2 x 2 x 17

Prime Factorization of 781 is 11 x 71

Prime Factorization of 387 is 3 x 3 x 43

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(518, 544) = 140896

GCD(518, 544) = ( 518 x 544 ) / 140896

GCD(518, 544) = 281792 / 140896

GCD(518, 544) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 781

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

LCM(2, 781) = 1562

GCD(2, 781) = ( 2 x 781 ) / 1562

GCD(2, 781) = 1562 / 1562

GCD(2, 781) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 387

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

LCM(1, 387) = 387

GCD(1, 387) = ( 1 x 387 ) / 387

GCD(1, 387) = 387 / 387

GCD(1, 387) = 1

GCD of 518, 544, 781, 387 is 1

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1. What is the GCD of 518, 544, 781, 387?

GCD of 518, 544, 781, 387 is 1

2. Where do I get the detailed procedure to find GCD of 518, 544, 781, 387?

You can find a detailed procedure to find GCD of 518, 544, 781, 387 on our page.

3. How to find GCD of 518, 544, 781, 387 on a calculator?

You can find the GCD of 518, 544, 781, 387 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.