GCD of 848, 626, 34, 966 Calculator

Given Input numbers are 848, 626, 34, 966

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

Divisors of 848

List of positive integer divisors of 848 that divides 848 without a remainder.

1, 2, 4, 8, 16, 53, 106, 212, 424, 848

Divisors of 626

List of positive integer divisors of 626 that divides 626 without a remainder.

1, 2, 313, 626

Divisors of 34

List of positive integer divisors of 34 that divides 34 without a remainder.

1, 2, 17, 34

Divisors of 966

List of positive integer divisors of 966 that divides 966 without a remainder.

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

Greatest Common Divisior

We found the divisors of 848, 626, 34, 966 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 848, 626, 34, 966 is 2.

Therefore, GCD of numbers 848, 626, 34, 966 is 2

Given Input Data is 848, 626, 34, 966

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

Prime Factorization of 848 is 2 x 2 x 2 x 2 x 53

Prime Factorization of 626 is 2 x 313

Prime Factorization of 34 is 2 x 17

Prime Factorization of 966 is 2 x 3 x 7 x 23

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(848, 626) = 265424

GCD(848, 626) = ( 848 x 626 ) / 265424

GCD(848, 626) = 530848 / 265424

GCD(848, 626) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 34

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

LCM(2, 34) = 34

GCD(2, 34) = ( 2 x 34 ) / 34

GCD(2, 34) = 68 / 34

GCD(2, 34) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 966

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

LCM(2, 966) = 966

GCD(2, 966) = ( 2 x 966 ) / 966

GCD(2, 966) = 1932 / 966

GCD(2, 966) = 2

GCD of 848, 626, 34, 966 is 2

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1. What is the GCD of 848, 626, 34, 966?

GCD of 848, 626, 34, 966 is 2

2. Where do I get the detailed procedure to find GCD of 848, 626, 34, 966?

You can find a detailed procedure to find GCD of 848, 626, 34, 966 on our page.

3. How to find GCD of 848, 626, 34, 966 on a calculator?

You can find the GCD of 848, 626, 34, 966 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.