GCD of 154, 444, 756, 178 Calculator

Given Input numbers are 154, 444, 756, 178

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

Divisors of 154

List of positive integer divisors of 154 that divides 154 without a remainder.

1, 2, 7, 11, 14, 22, 77, 154

Divisors of 444

List of positive integer divisors of 444 that divides 444 without a remainder.

1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444

Divisors of 756

List of positive integer divisors of 756 that divides 756 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

Divisors of 178

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

1, 2, 89, 178

Greatest Common Divisior

We found the divisors of 154, 444, 756, 178 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 154, 444, 756, 178 is 2.

Therefore, GCD of numbers 154, 444, 756, 178 is 2

Given Input Data is 154, 444, 756, 178

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

Prime Factorization of 154 is 2 x 7 x 11

Prime Factorization of 444 is 2 x 2 x 3 x 37

Prime Factorization of 756 is 2 x 2 x 3 x 3 x 3 x 7

Prime Factorization of 178 is 2 x 89

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(154, 444) = 34188

GCD(154, 444) = ( 154 x 444 ) / 34188

GCD(154, 444) = 68376 / 34188

GCD(154, 444) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 756

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

LCM(2, 756) = 756

GCD(2, 756) = ( 2 x 756 ) / 756

GCD(2, 756) = 1512 / 756

GCD(2, 756) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 178

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

LCM(2, 178) = 178

GCD(2, 178) = ( 2 x 178 ) / 178

GCD(2, 178) = 356 / 178

GCD(2, 178) = 2

GCD of 154, 444, 756, 178 is 2

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1. What is the GCD of 154, 444, 756, 178?

GCD of 154, 444, 756, 178 is 2

2. Where do I get the detailed procedure to find GCD of 154, 444, 756, 178?

You can find a detailed procedure to find GCD of 154, 444, 756, 178 on our page.

3. How to find GCD of 154, 444, 756, 178 on a calculator?

You can find the GCD of 154, 444, 756, 178 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.