GCD of 519, 228, 501, 707 Calculator

Given Input numbers are 519, 228, 501, 707

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

Divisors of 519

List of positive integer divisors of 519 that divides 519 without a remainder.

1, 3, 173, 519

Divisors of 228

List of positive integer divisors of 228 that divides 228 without a remainder.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

Divisors of 501

List of positive integer divisors of 501 that divides 501 without a remainder.

1, 3, 167, 501

Divisors of 707

List of positive integer divisors of 707 that divides 707 without a remainder.

1, 7, 101, 707

Greatest Common Divisior

We found the divisors of 519, 228, 501, 707 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 519, 228, 501, 707 is 1.

Therefore, GCD of numbers 519, 228, 501, 707 is 1

Given Input Data is 519, 228, 501, 707

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

Prime Factorization of 519 is 3 x 173

Prime Factorization of 228 is 2 x 2 x 3 x 19

Prime Factorization of 501 is 3 x 167

Prime Factorization of 707 is 7 x 101

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(519, 228) = 39444

GCD(519, 228) = ( 519 x 228 ) / 39444

GCD(519, 228) = 118332 / 39444

GCD(519, 228) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 501

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

LCM(3, 501) = 501

GCD(3, 501) = ( 3 x 501 ) / 501

GCD(3, 501) = 1503 / 501

GCD(3, 501) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 707

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

LCM(3, 707) = 2121

GCD(3, 707) = ( 3 x 707 ) / 2121

GCD(3, 707) = 2121 / 2121

GCD(3, 707) = 1

GCD of 519, 228, 501, 707 is 1

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• GCD of 212, 941, 163, 733
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1. What is the GCD of 519, 228, 501, 707?

GCD of 519, 228, 501, 707 is 1

2. Where do I get the detailed procedure to find GCD of 519, 228, 501, 707?

You can find a detailed procedure to find GCD of 519, 228, 501, 707 on our page.

3. How to find GCD of 519, 228, 501, 707 on a calculator?

You can find the GCD of 519, 228, 501, 707 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.