GCD of 968, 478, 12, 858 Calculator

Given Input numbers are 968, 478, 12, 858

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

Divisors of 968

List of positive integer divisors of 968 that divides 968 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

Divisors of 478

List of positive integer divisors of 478 that divides 478 without a remainder.

1, 2, 239, 478

Divisors of 12

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

1, 2, 3, 4, 6, 12

Divisors of 858

List of positive integer divisors of 858 that divides 858 without a remainder.

1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858

Greatest Common Divisior

We found the divisors of 968, 478, 12, 858 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 968, 478, 12, 858 is 2.

Therefore, GCD of numbers 968, 478, 12, 858 is 2

Given Input Data is 968, 478, 12, 858

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

Prime Factorization of 968 is 2 x 2 x 2 x 11 x 11

Prime Factorization of 478 is 2 x 239

Prime Factorization of 12 is 2 x 2 x 3

Prime Factorization of 858 is 2 x 3 x 11 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(968, 478) = 231352

GCD(968, 478) = ( 968 x 478 ) / 231352

GCD(968, 478) = 462704 / 231352

GCD(968, 478) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 12

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

LCM(2, 12) = 12

GCD(2, 12) = ( 2 x 12 ) / 12

GCD(2, 12) = 24 / 12

GCD(2, 12) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 858

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

LCM(2, 858) = 858

GCD(2, 858) = ( 2 x 858 ) / 858

GCD(2, 858) = 1716 / 858

GCD(2, 858) = 2

GCD of 968, 478, 12, 858 is 2

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1. What is the GCD of 968, 478, 12, 858?

GCD of 968, 478, 12, 858 is 2

2. Where do I get the detailed procedure to find GCD of 968, 478, 12, 858?

You can find a detailed procedure to find GCD of 968, 478, 12, 858 on our page.

3. How to find GCD of 968, 478, 12, 858 on a calculator?

You can find the GCD of 968, 478, 12, 858 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.