GCD of 144, 300, 574, 164 Calculator

Given Input numbers are 144, 300, 574, 164

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

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

Divisors of 300

List of positive integer divisors of 300 that divides 300 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

Divisors of 574

List of positive integer divisors of 574 that divides 574 without a remainder.

1, 2, 7, 14, 41, 82, 287, 574

Divisors of 164

List of positive integer divisors of 164 that divides 164 without a remainder.

1, 2, 4, 41, 82, 164

Greatest Common Divisior

We found the divisors of 144, 300, 574, 164 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 144, 300, 574, 164 is 2.

Therefore, GCD of numbers 144, 300, 574, 164 is 2

Given Input Data is 144, 300, 574, 164

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

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

Prime Factorization of 300 is 2 x 2 x 3 x 5 x 5

Prime Factorization of 574 is 2 x 7 x 41

Prime Factorization of 164 is 2 x 2 x 41

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(144, 300) = 3600

GCD(144, 300) = ( 144 x 300 ) / 3600

GCD(144, 300) = 43200 / 3600

GCD(144, 300) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 574

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

LCM(12, 574) = 3444

GCD(12, 574) = ( 12 x 574 ) / 3444

GCD(12, 574) = 6888 / 3444

GCD(12, 574) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 164

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

LCM(2, 164) = 164

GCD(2, 164) = ( 2 x 164 ) / 164

GCD(2, 164) = 328 / 164

GCD(2, 164) = 2

GCD of 144, 300, 574, 164 is 2

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• GCD of 861, 112, 196, 174
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• GCD of 940, 924, 904, 704

1. What is the GCD of 144, 300, 574, 164?

GCD of 144, 300, 574, 164 is 2

2. Where do I get the detailed procedure to find GCD of 144, 300, 574, 164?

You can find a detailed procedure to find GCD of 144, 300, 574, 164 on our page.

3. How to find GCD of 144, 300, 574, 164 on a calculator?

You can find the GCD of 144, 300, 574, 164 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.