GCD of 42, 966, 226, 968 Calculator

Given Input numbers are 42, 966, 226, 968

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

Divisors of 42

List of positive integer divisors of 42 that divides 42 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42

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

Divisors of 226

List of positive integer divisors of 226 that divides 226 without a remainder.

1, 2, 113, 226

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

Greatest Common Divisior

We found the divisors of 42, 966, 226, 968 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 42, 966, 226, 968 is 2.

Therefore, GCD of numbers 42, 966, 226, 968 is 2

Given Input Data is 42, 966, 226, 968

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

Prime Factorization of 42 is 2 x 3 x 7

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

Prime Factorization of 226 is 2 x 113

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

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(42, 966) = 966

GCD(42, 966) = ( 42 x 966 ) / 966

GCD(42, 966) = 40572 / 966

GCD(42, 966) = 42

Step2:

Here we consider the GCD from the above i.e. 42 as first number and the next as 226

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

LCM(42, 226) = 4746

GCD(42, 226) = ( 42 x 226 ) / 4746

GCD(42, 226) = 9492 / 4746

GCD(42, 226) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 968

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

LCM(2, 968) = 968

GCD(2, 968) = ( 2 x 968 ) / 968

GCD(2, 968) = 1936 / 968

GCD(2, 968) = 2

GCD of 42, 966, 226, 968 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 32, 895, 397, 111
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• GCD of 17, 310, 419, 151

1. What is the GCD of 42, 966, 226, 968?

GCD of 42, 966, 226, 968 is 2

2. Where do I get the detailed procedure to find GCD of 42, 966, 226, 968?

You can find a detailed procedure to find GCD of 42, 966, 226, 968 on our page.

3. How to find GCD of 42, 966, 226, 968 on a calculator?

You can find the GCD of 42, 966, 226, 968 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.