GCD of 44, 136, 178, 866 Calculator

Given Input numbers are 44, 136, 178, 866

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

Divisors of 44

List of positive integer divisors of 44 that divides 44 without a remainder.

1, 2, 4, 11, 22, 44

Divisors of 136

List of positive integer divisors of 136 that divides 136 without a remainder.

1, 2, 4, 8, 17, 34, 68, 136

Divisors of 178

List of positive integer divisors of 178 that divides 178 without a remainder.

1, 2, 89, 178

Divisors of 866

List of positive integer divisors of 866 that divides 866 without a remainder.

1, 2, 433, 866

Greatest Common Divisior

We found the divisors of 44, 136, 178, 866 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 44, 136, 178, 866 is 2.

Therefore, GCD of numbers 44, 136, 178, 866 is 2

Given Input Data is 44, 136, 178, 866

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

Prime Factorization of 44 is 2 x 2 x 11

Prime Factorization of 136 is 2 x 2 x 2 x 17

Prime Factorization of 178 is 2 x 89

Prime Factorization of 866 is 2 x 433

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(44, 136) = 1496

GCD(44, 136) = ( 44 x 136 ) / 1496

GCD(44, 136) = 5984 / 1496

GCD(44, 136) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 178

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

LCM(4, 178) = 356

GCD(4, 178) = ( 4 x 178 ) / 356

GCD(4, 178) = 712 / 356

GCD(4, 178) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 866

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

LCM(2, 866) = 866

GCD(2, 866) = ( 2 x 866 ) / 866

GCD(2, 866) = 1732 / 866

GCD(2, 866) = 2

GCD of 44, 136, 178, 866 is 2

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1. What is the GCD of 44, 136, 178, 866?

GCD of 44, 136, 178, 866 is 2

2. Where do I get the detailed procedure to find GCD of 44, 136, 178, 866?

You can find a detailed procedure to find GCD of 44, 136, 178, 866 on our page.

3. How to find GCD of 44, 136, 178, 866 on a calculator?

You can find the GCD of 44, 136, 178, 866 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.