GCD of 12, 610, 696, 676 Calculator

Given Input numbers are 12, 610, 696, 676

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

Divisors of 12

List of positive integer divisors of 12 that divides 12 without a remainder.

1, 2, 3, 4, 6, 12

Divisors of 610

List of positive integer divisors of 610 that divides 610 without a remainder.

1, 2, 5, 10, 61, 122, 305, 610

Divisors of 696

List of positive integer divisors of 696 that divides 696 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

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

Greatest Common Divisior

We found the divisors of 12, 610, 696, 676 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 12, 610, 696, 676 is 2.

Therefore, GCD of numbers 12, 610, 696, 676 is 2

Given Input Data is 12, 610, 696, 676

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

Prime Factorization of 12 is 2 x 2 x 3

Prime Factorization of 610 is 2 x 5 x 61

Prime Factorization of 696 is 2 x 2 x 2 x 3 x 29

Prime Factorization of 676 is 2 x 2 x 13 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(12, 610) = 3660

GCD(12, 610) = ( 12 x 610 ) / 3660

GCD(12, 610) = 7320 / 3660

GCD(12, 610) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 696

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

LCM(2, 696) = 696

GCD(2, 696) = ( 2 x 696 ) / 696

GCD(2, 696) = 1392 / 696

GCD(2, 696) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 676

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

LCM(2, 676) = 676

GCD(2, 676) = ( 2 x 676 ) / 676

GCD(2, 676) = 1352 / 676

GCD(2, 676) = 2

GCD of 12, 610, 696, 676 is 2

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1. What is the GCD of 12, 610, 696, 676?

GCD of 12, 610, 696, 676 is 2

2. Where do I get the detailed procedure to find GCD of 12, 610, 696, 676?

You can find a detailed procedure to find GCD of 12, 610, 696, 676 on our page.

3. How to find GCD of 12, 610, 696, 676 on a calculator?

You can find the GCD of 12, 610, 696, 676 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.