GCD of 909, 177, 30, 144 Calculator

Given Input numbers are 909, 177, 30, 144

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

Divisors of 909

List of positive integer divisors of 909 that divides 909 without a remainder.

1, 3, 9, 101, 303, 909

Divisors of 177

List of positive integer divisors of 177 that divides 177 without a remainder.

1, 3, 59, 177

Divisors of 30

List of positive integer divisors of 30 that divides 30 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30

Divisors of 144

List of positive integer divisors of 144 that divides 144 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

Greatest Common Divisior

We found the divisors of 909, 177, 30, 144 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 909, 177, 30, 144 is 3.

Therefore, GCD of numbers 909, 177, 30, 144 is 3

Given Input Data is 909, 177, 30, 144

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

Prime Factorization of 909 is 3 x 3 x 101

Prime Factorization of 177 is 3 x 59

Prime Factorization of 30 is 2 x 3 x 5

Prime Factorization of 144 is 2 x 2 x 2 x 2 x 3 x 3

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(909, 177) = 53631

GCD(909, 177) = ( 909 x 177 ) / 53631

GCD(909, 177) = 160893 / 53631

GCD(909, 177) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 30

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

LCM(3, 30) = 30

GCD(3, 30) = ( 3 x 30 ) / 30

GCD(3, 30) = 90 / 30

GCD(3, 30) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 144

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

LCM(3, 144) = 144

GCD(3, 144) = ( 3 x 144 ) / 144

GCD(3, 144) = 432 / 144

GCD(3, 144) = 3

GCD of 909, 177, 30, 144 is 3

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1. What is the GCD of 909, 177, 30, 144?

GCD of 909, 177, 30, 144 is 3

2. Where do I get the detailed procedure to find GCD of 909, 177, 30, 144?

You can find a detailed procedure to find GCD of 909, 177, 30, 144 on our page.

3. How to find GCD of 909, 177, 30, 144 on a calculator?

You can find the GCD of 909, 177, 30, 144 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.