GCD of 344, 480, 910, 890 Calculator

Given Input numbers are 344, 480, 910, 890

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

Divisors of 344

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

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

Divisors of 480

List of positive integer divisors of 480 that divides 480 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

Divisors of 910

List of positive integer divisors of 910 that divides 910 without a remainder.

1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910

Divisors of 890

List of positive integer divisors of 890 that divides 890 without a remainder.

1, 2, 5, 10, 89, 178, 445, 890

Greatest Common Divisior

We found the divisors of 344, 480, 910, 890 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 344, 480, 910, 890 is 2.

Therefore, GCD of numbers 344, 480, 910, 890 is 2

Given Input Data is 344, 480, 910, 890

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

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

Prime Factorization of 480 is 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 910 is 2 x 5 x 7 x 13

Prime Factorization of 890 is 2 x 5 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(344, 480) = 20640

GCD(344, 480) = ( 344 x 480 ) / 20640

GCD(344, 480) = 165120 / 20640

GCD(344, 480) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 910

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

LCM(8, 910) = 3640

GCD(8, 910) = ( 8 x 910 ) / 3640

GCD(8, 910) = 7280 / 3640

GCD(8, 910) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 890

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

LCM(2, 890) = 890

GCD(2, 890) = ( 2 x 890 ) / 890

GCD(2, 890) = 1780 / 890

GCD(2, 890) = 2

GCD of 344, 480, 910, 890 is 2

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1. What is the GCD of 344, 480, 910, 890?

GCD of 344, 480, 910, 890 is 2

2. Where do I get the detailed procedure to find GCD of 344, 480, 910, 890?

You can find a detailed procedure to find GCD of 344, 480, 910, 890 on our page.

3. How to find GCD of 344, 480, 910, 890 on a calculator?

You can find the GCD of 344, 480, 910, 890 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.