GCD of 634, 644, 886, 646 Calculator

Given Input numbers are 634, 644, 886, 646

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

Divisors of 634

List of positive integer divisors of 634 that divides 634 without a remainder.

1, 2, 317, 634

Divisors of 644

List of positive integer divisors of 644 that divides 644 without a remainder.

1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

Divisors of 886

List of positive integer divisors of 886 that divides 886 without a remainder.

1, 2, 443, 886

Divisors of 646

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

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

Greatest Common Divisior

We found the divisors of 634, 644, 886, 646 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 634, 644, 886, 646 is 2.

Therefore, GCD of numbers 634, 644, 886, 646 is 2

Given Input Data is 634, 644, 886, 646

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

Prime Factorization of 634 is 2 x 317

Prime Factorization of 644 is 2 x 2 x 7 x 23

Prime Factorization of 886 is 2 x 443

Prime Factorization of 646 is 2 x 17 x 19

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(634, 644) = 204148

GCD(634, 644) = ( 634 x 644 ) / 204148

GCD(634, 644) = 408296 / 204148

GCD(634, 644) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 886

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

LCM(2, 886) = 886

GCD(2, 886) = ( 2 x 886 ) / 886

GCD(2, 886) = 1772 / 886

GCD(2, 886) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 646

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

LCM(2, 646) = 646

GCD(2, 646) = ( 2 x 646 ) / 646

GCD(2, 646) = 1292 / 646

GCD(2, 646) = 2

GCD of 634, 644, 886, 646 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 639, 492, 387, 258
• GCD of 908, 977, 944, 294
• GCD of 289, 553, 613, 573
• GCD of 631, 548, 994, 835
• GCD of 191, 741, 469, 675

1. What is the GCD of 634, 644, 886, 646?

GCD of 634, 644, 886, 646 is 2

2. Where do I get the detailed procedure to find GCD of 634, 644, 886, 646?

You can find a detailed procedure to find GCD of 634, 644, 886, 646 on our page.

3. How to find GCD of 634, 644, 886, 646 on a calculator?

You can find the GCD of 634, 644, 886, 646 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.