GCD of 664, 516, 10, 544 Calculator

Given Input numbers are 664, 516, 10, 544

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

Divisors of 664

List of positive integer divisors of 664 that divides 664 without a remainder.

1, 2, 4, 8, 83, 166, 332, 664

Divisors of 516

List of positive integer divisors of 516 that divides 516 without a remainder.

1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

Divisors of 10

List of positive integer divisors of 10 that divides 10 without a remainder.

1, 2, 5, 10

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

Greatest Common Divisior

We found the divisors of 664, 516, 10, 544 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 664, 516, 10, 544 is 2.

Therefore, GCD of numbers 664, 516, 10, 544 is 2

Given Input Data is 664, 516, 10, 544

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

Prime Factorization of 664 is 2 x 2 x 2 x 83

Prime Factorization of 516 is 2 x 2 x 3 x 43

Prime Factorization of 10 is 2 x 5

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

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(664, 516) = 85656

GCD(664, 516) = ( 664 x 516 ) / 85656

GCD(664, 516) = 342624 / 85656

GCD(664, 516) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 10

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

LCM(4, 10) = 20

GCD(4, 10) = ( 4 x 10 ) / 20

GCD(4, 10) = 40 / 20

GCD(4, 10) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 544

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

LCM(2, 544) = 544

GCD(2, 544) = ( 2 x 544 ) / 544

GCD(2, 544) = 1088 / 544

GCD(2, 544) = 2

GCD of 664, 516, 10, 544 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 451, 799, 82, 297
• GCD of 957, 106, 42, 275
• GCD of 548, 964, 46, 872
• GCD of 521, 302, 11, 839
• GCD of 493, 391, 21, 253

1. What is the GCD of 664, 516, 10, 544?

GCD of 664, 516, 10, 544 is 2

2. Where do I get the detailed procedure to find GCD of 664, 516, 10, 544?

You can find a detailed procedure to find GCD of 664, 516, 10, 544 on our page.

3. How to find GCD of 664, 516, 10, 544 on a calculator?

You can find the GCD of 664, 516, 10, 544 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.