GCD of 510, 339, 616, 987 Calculator

Given Input numbers are 510, 339, 616, 987

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 339

List of positive integer divisors of 339 that divides 339 without a remainder.

1, 3, 113, 339

Divisors of 616

List of positive integer divisors of 616 that divides 616 without a remainder.

1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

Divisors of 987

List of positive integer divisors of 987 that divides 987 without a remainder.

1, 3, 7, 21, 47, 141, 329, 987

Greatest Common Divisior

We found the divisors of 510, 339, 616, 987 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 510, 339, 616, 987 is 1.

Therefore, GCD of numbers 510, 339, 616, 987 is 1

Given Input Data is 510, 339, 616, 987

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 339 is 3 x 113

Prime Factorization of 616 is 2 x 2 x 2 x 7 x 11

Prime Factorization of 987 is 3 x 7 x 47

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, 339) = 57630

GCD(510, 339) = ( 510 x 339 ) / 57630

GCD(510, 339) = 172890 / 57630

GCD(510, 339) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 616

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

LCM(3, 616) = 1848

GCD(3, 616) = ( 3 x 616 ) / 1848

GCD(3, 616) = 1848 / 1848

GCD(3, 616) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 987

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

LCM(1, 987) = 987

GCD(1, 987) = ( 1 x 987 ) / 987

GCD(1, 987) = 987 / 987

GCD(1, 987) = 1

GCD of 510, 339, 616, 987 is 1

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• GCD of 477, 843, 998, 300
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• GCD of 530, 663, 502, 772

1. What is the GCD of 510, 339, 616, 987?

GCD of 510, 339, 616, 987 is 1

2. Where do I get the detailed procedure to find GCD of 510, 339, 616, 987?

You can find a detailed procedure to find GCD of 510, 339, 616, 987 on our page.

3. How to find GCD of 510, 339, 616, 987 on a calculator?

You can find the GCD of 510, 339, 616, 987 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.