GCD of 894, 308, 62, 966 Calculator

Given Input numbers are 894, 308, 62, 966

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

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 308

List of positive integer divisors of 308 that divides 308 without a remainder.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

Divisors of 62

List of positive integer divisors of 62 that divides 62 without a remainder.

1, 2, 31, 62

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 894, 308, 62, 966 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 894, 308, 62, 966 is 2.

Therefore, GCD of numbers 894, 308, 62, 966 is 2

Given Input Data is 894, 308, 62, 966

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

Prime Factorization of 894 is 2 x 3 x 149

Prime Factorization of 308 is 2 x 2 x 7 x 11

Prime Factorization of 62 is 2 x 31

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(894, 308) = 137676

GCD(894, 308) = ( 894 x 308 ) / 137676

GCD(894, 308) = 275352 / 137676

GCD(894, 308) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 62

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

LCM(2, 62) = 62

GCD(2, 62) = ( 2 x 62 ) / 62

GCD(2, 62) = 124 / 62

GCD(2, 62) = 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 894, 308, 62, 966 is 2

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1. What is the GCD of 894, 308, 62, 966?

GCD of 894, 308, 62, 966 is 2

2. Where do I get the detailed procedure to find GCD of 894, 308, 62, 966?

You can find a detailed procedure to find GCD of 894, 308, 62, 966 on our page.

3. How to find GCD of 894, 308, 62, 966 on a calculator?

You can find the GCD of 894, 308, 62, 966 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.