GCD of 898, 232, 940, 144 Calculator

Given Input numbers are 898, 232, 940, 144

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

Divisors of 898

List of positive integer divisors of 898 that divides 898 without a remainder.

1, 2, 449, 898

Divisors of 232

List of positive integer divisors of 232 that divides 232 without a remainder.

1, 2, 4, 8, 29, 58, 116, 232

Divisors of 940

List of positive integer divisors of 940 that divides 940 without a remainder.

1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

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 898, 232, 940, 144 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 898, 232, 940, 144 is 2.

Therefore, GCD of numbers 898, 232, 940, 144 is 2

Given Input Data is 898, 232, 940, 144

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

Prime Factorization of 898 is 2 x 449

Prime Factorization of 232 is 2 x 2 x 2 x 29

Prime Factorization of 940 is 2 x 2 x 5 x 47

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

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(898, 232) = 104168

GCD(898, 232) = ( 898 x 232 ) / 104168

GCD(898, 232) = 208336 / 104168

GCD(898, 232) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 940

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

LCM(2, 940) = 940

GCD(2, 940) = ( 2 x 940 ) / 940

GCD(2, 940) = 1880 / 940

GCD(2, 940) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 144

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

LCM(2, 144) = 144

GCD(2, 144) = ( 2 x 144 ) / 144

GCD(2, 144) = 288 / 144

GCD(2, 144) = 2

GCD of 898, 232, 940, 144 is 2

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1. What is the GCD of 898, 232, 940, 144?

GCD of 898, 232, 940, 144 is 2

2. Where do I get the detailed procedure to find GCD of 898, 232, 940, 144?

You can find a detailed procedure to find GCD of 898, 232, 940, 144 on our page.

3. How to find GCD of 898, 232, 940, 144 on a calculator?

You can find the GCD of 898, 232, 940, 144 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.