GCD of 344, 264, 980, 230 Calculator

Given Input numbers are 344, 264, 980, 230

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 264

List of positive integer divisors of 264 that divides 264 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

Divisors of 980

List of positive integer divisors of 980 that divides 980 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980

Divisors of 230

List of positive integer divisors of 230 that divides 230 without a remainder.

1, 2, 5, 10, 23, 46, 115, 230

Greatest Common Divisior

We found the divisors of 344, 264, 980, 230 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 344, 264, 980, 230 is 2.

Therefore, GCD of numbers 344, 264, 980, 230 is 2

Given Input Data is 344, 264, 980, 230

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 264 is 2 x 2 x 2 x 3 x 11

Prime Factorization of 980 is 2 x 2 x 5 x 7 x 7

Prime Factorization of 230 is 2 x 5 x 23

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, 264) = 11352

GCD(344, 264) = ( 344 x 264 ) / 11352

GCD(344, 264) = 90816 / 11352

GCD(344, 264) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 980

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

LCM(8, 980) = 1960

GCD(8, 980) = ( 8 x 980 ) / 1960

GCD(8, 980) = 7840 / 1960

GCD(8, 980) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 230

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

LCM(4, 230) = 460

GCD(4, 230) = ( 4 x 230 ) / 460

GCD(4, 230) = 920 / 460

GCD(4, 230) = 2

GCD of 344, 264, 980, 230 is 2

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1. What is the GCD of 344, 264, 980, 230?

GCD of 344, 264, 980, 230 is 2

2. Where do I get the detailed procedure to find GCD of 344, 264, 980, 230?

You can find a detailed procedure to find GCD of 344, 264, 980, 230 on our page.

3. How to find GCD of 344, 264, 980, 230 on a calculator?

You can find the GCD of 344, 264, 980, 230 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.