GCD of 968, 894, 26, 212 Calculator

Given Input numbers are 968, 894, 26, 212

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 894

List of positive integer divisors of 894 that divides 894 without a remainder.

1, 2, 3, 6, 149, 298, 447, 894

Divisors of 26

List of positive integer divisors of 26 that divides 26 without a remainder.

1, 2, 13, 26

Divisors of 212

List of positive integer divisors of 212 that divides 212 without a remainder.

1, 2, 4, 53, 106, 212

Greatest Common Divisior

We found the divisors of 968, 894, 26, 212 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 968, 894, 26, 212 is 2.

Therefore, GCD of numbers 968, 894, 26, 212 is 2

Given Input Data is 968, 894, 26, 212

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 894 is 2 x 3 x 149

Prime Factorization of 26 is 2 x 13

Prime Factorization of 212 is 2 x 2 x 53

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, 894) = 432696

GCD(968, 894) = ( 968 x 894 ) / 432696

GCD(968, 894) = 865392 / 432696

GCD(968, 894) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 26

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

LCM(2, 26) = 26

GCD(2, 26) = ( 2 x 26 ) / 26

GCD(2, 26) = 52 / 26

GCD(2, 26) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 212

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

LCM(2, 212) = 212

GCD(2, 212) = ( 2 x 212 ) / 212

GCD(2, 212) = 424 / 212

GCD(2, 212) = 2

GCD of 968, 894, 26, 212 is 2

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1. What is the GCD of 968, 894, 26, 212?

GCD of 968, 894, 26, 212 is 2

2. Where do I get the detailed procedure to find GCD of 968, 894, 26, 212?

You can find a detailed procedure to find GCD of 968, 894, 26, 212 on our page.

3. How to find GCD of 968, 894, 26, 212 on a calculator?

You can find the GCD of 968, 894, 26, 212 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.