GCD of 646, 676, 910 Calculator

Given Input numbers are 646, 676, 910

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 676

List of positive integer divisors of 676 that divides 676 without a remainder.

1, 2, 4, 13, 26, 52, 169, 338, 676

Divisors of 910

List of positive integer divisors of 910 that divides 910 without a remainder.

1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910

Greatest Common Divisior

We found the divisors of 646, 676, 910 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 646, 676, 910 is 2.

Therefore, GCD of numbers 646, 676, 910 is 2

Given Input Data is 646, 676, 910

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 676 is 2 x 2 x 13 x 13

Prime Factorization of 910 is 2 x 5 x 7 x 13

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, 676) = 218348

GCD(646, 676) = ( 646 x 676 ) / 218348

GCD(646, 676) = 436696 / 218348

GCD(646, 676) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 910

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

LCM(2, 910) = 910

GCD(2, 910) = ( 2 x 910 ) / 910

GCD(2, 910) = 1820 / 910

GCD(2, 910) = 2

GCD of 646, 676, 910 is 2

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1. What is the GCD of 646, 676, 910?

GCD of 646, 676, 910 is 2

2. Where do I get the detailed procedure to find GCD of 646, 676, 910?

You can find a detailed procedure to find GCD of 646, 676, 910 on our page.

3. How to find GCD of 646, 676, 910 on a calculator?

You can find the GCD of 646, 676, 910 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.