GCD of 254, 720, 96, 344 Calculator

Given Input numbers are 254, 720, 96, 344

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

Divisors of 254

List of positive integer divisors of 254 that divides 254 without a remainder.

1, 2, 127, 254

Divisors of 720

List of positive integer divisors of 720 that divides 720 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

Divisors of 96

List of positive integer divisors of 96 that divides 96 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

Divisors of 344

List of positive integer divisors of 344 that divides 344 without a remainder.

1, 2, 4, 8, 43, 86, 172, 344

Greatest Common Divisior

We found the divisors of 254, 720, 96, 344 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 254, 720, 96, 344 is 2.

Therefore, GCD of numbers 254, 720, 96, 344 is 2

Given Input Data is 254, 720, 96, 344

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

Prime Factorization of 254 is 2 x 127

Prime Factorization of 720 is 2 x 2 x 2 x 2 x 3 x 3 x 5

Prime Factorization of 96 is 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 344 is 2 x 2 x 2 x 43

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(254, 720) = 91440

GCD(254, 720) = ( 254 x 720 ) / 91440

GCD(254, 720) = 182880 / 91440

GCD(254, 720) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 96

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

LCM(2, 96) = 96

GCD(2, 96) = ( 2 x 96 ) / 96

GCD(2, 96) = 192 / 96

GCD(2, 96) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 344

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

LCM(2, 344) = 344

GCD(2, 344) = ( 2 x 344 ) / 344

GCD(2, 344) = 688 / 344

GCD(2, 344) = 2

GCD of 254, 720, 96, 344 is 2

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• GCD of 709, 139, 23, 373
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1. What is the GCD of 254, 720, 96, 344?

GCD of 254, 720, 96, 344 is 2

2. Where do I get the detailed procedure to find GCD of 254, 720, 96, 344?

You can find a detailed procedure to find GCD of 254, 720, 96, 344 on our page.

3. How to find GCD of 254, 720, 96, 344 on a calculator?

You can find the GCD of 254, 720, 96, 344 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.