GCD of 510, 772, 56, 328 Calculator

Given Input numbers are 510, 772, 56, 328

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 772

List of positive integer divisors of 772 that divides 772 without a remainder.

1, 2, 4, 193, 386, 772

Divisors of 56

List of positive integer divisors of 56 that divides 56 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56

Divisors of 328

List of positive integer divisors of 328 that divides 328 without a remainder.

1, 2, 4, 8, 41, 82, 164, 328

Greatest Common Divisior

We found the divisors of 510, 772, 56, 328 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 510, 772, 56, 328 is 2.

Therefore, GCD of numbers 510, 772, 56, 328 is 2

Given Input Data is 510, 772, 56, 328

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 772 is 2 x 2 x 193

Prime Factorization of 56 is 2 x 2 x 2 x 7

Prime Factorization of 328 is 2 x 2 x 2 x 41

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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, 772) = 196860

GCD(510, 772) = ( 510 x 772 ) / 196860

GCD(510, 772) = 393720 / 196860

GCD(510, 772) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 56

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

LCM(2, 56) = 56

GCD(2, 56) = ( 2 x 56 ) / 56

GCD(2, 56) = 112 / 56

GCD(2, 56) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 328

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

LCM(2, 328) = 328

GCD(2, 328) = ( 2 x 328 ) / 328

GCD(2, 328) = 656 / 328

GCD(2, 328) = 2

GCD of 510, 772, 56, 328 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 788, 256, 16, 423
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• GCD of 116, 871, 68, 552
• GCD of 329, 881, 46, 775
• GCD of 854, 490, 25, 780

1. What is the GCD of 510, 772, 56, 328?

GCD of 510, 772, 56, 328 is 2

2. Where do I get the detailed procedure to find GCD of 510, 772, 56, 328?

You can find a detailed procedure to find GCD of 510, 772, 56, 328 on our page.

3. How to find GCD of 510, 772, 56, 328 on a calculator?

You can find the GCD of 510, 772, 56, 328 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.