GCD of 646, 824, 660, 488 Calculator

Given Input numbers are 646, 824, 660, 488

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

Divisors of 646

List of positive integer divisors of 646 that divides 646 without a remainder.

1, 2, 17, 19, 34, 38, 323, 646

Divisors of 824

List of positive integer divisors of 824 that divides 824 without a remainder.

1, 2, 4, 8, 103, 206, 412, 824

Divisors of 660

List of positive integer divisors of 660 that divides 660 without a remainder.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

Divisors of 488

List of positive integer divisors of 488 that divides 488 without a remainder.

1, 2, 4, 8, 61, 122, 244, 488

Greatest Common Divisior

We found the divisors of 646, 824, 660, 488 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 646, 824, 660, 488 is 2.

Therefore, GCD of numbers 646, 824, 660, 488 is 2

Given Input Data is 646, 824, 660, 488

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

Prime Factorization of 646 is 2 x 17 x 19

Prime Factorization of 824 is 2 x 2 x 2 x 103

Prime Factorization of 660 is 2 x 2 x 3 x 5 x 11

Prime Factorization of 488 is 2 x 2 x 2 x 61

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(646, 824) = 266152

GCD(646, 824) = ( 646 x 824 ) / 266152

GCD(646, 824) = 532304 / 266152

GCD(646, 824) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 660

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

LCM(2, 660) = 660

GCD(2, 660) = ( 2 x 660 ) / 660

GCD(2, 660) = 1320 / 660

GCD(2, 660) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 488

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

LCM(2, 488) = 488

GCD(2, 488) = ( 2 x 488 ) / 488

GCD(2, 488) = 976 / 488

GCD(2, 488) = 2

GCD of 646, 824, 660, 488 is 2

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1. What is the GCD of 646, 824, 660, 488?

GCD of 646, 824, 660, 488 is 2

2. Where do I get the detailed procedure to find GCD of 646, 824, 660, 488?

You can find a detailed procedure to find GCD of 646, 824, 660, 488 on our page.

3. How to find GCD of 646, 824, 660, 488 on a calculator?

You can find the GCD of 646, 824, 660, 488 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.