GCD of 510, 987, 144, 716 Calculator

Given Input numbers are 510, 987, 144, 716

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 987

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

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

Divisors of 144

List of positive integer divisors of 144 that divides 144 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

Divisors of 716

List of positive integer divisors of 716 that divides 716 without a remainder.

1, 2, 4, 179, 358, 716

Greatest Common Divisior

We found the divisors of 510, 987, 144, 716 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 510, 987, 144, 716 is 1.

Therefore, GCD of numbers 510, 987, 144, 716 is 1

Given Input Data is 510, 987, 144, 716

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 987 is 3 x 7 x 47

Prime Factorization of 144 is 2 x 2 x 2 x 2 x 3 x 3

Prime Factorization of 716 is 2 x 2 x 179

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, 987) = 167790

GCD(510, 987) = ( 510 x 987 ) / 167790

GCD(510, 987) = 503370 / 167790

GCD(510, 987) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 144

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

LCM(3, 144) = 144

GCD(3, 144) = ( 3 x 144 ) / 144

GCD(3, 144) = 432 / 144

GCD(3, 144) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 716

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

LCM(3, 716) = 2148

GCD(3, 716) = ( 3 x 716 ) / 2148

GCD(3, 716) = 2148 / 2148

GCD(3, 716) = 1

GCD of 510, 987, 144, 716 is 1

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1. What is the GCD of 510, 987, 144, 716?

GCD of 510, 987, 144, 716 is 1

2. Where do I get the detailed procedure to find GCD of 510, 987, 144, 716?

You can find a detailed procedure to find GCD of 510, 987, 144, 716 on our page.

3. How to find GCD of 510, 987, 144, 716 on a calculator?

You can find the GCD of 510, 987, 144, 716 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.