GCD of 344, 310, 874, 265 Calculator

Given Input numbers are 344, 310, 874, 265

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 310

List of positive integer divisors of 310 that divides 310 without a remainder.

1, 2, 5, 10, 31, 62, 155, 310

Divisors of 874

List of positive integer divisors of 874 that divides 874 without a remainder.

1, 2, 19, 23, 38, 46, 437, 874

Divisors of 265

List of positive integer divisors of 265 that divides 265 without a remainder.

1, 5, 53, 265

Greatest Common Divisior

We found the divisors of 344, 310, 874, 265 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 344, 310, 874, 265 is 1.

Therefore, GCD of numbers 344, 310, 874, 265 is 1

Given Input Data is 344, 310, 874, 265

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 310 is 2 x 5 x 31

Prime Factorization of 874 is 2 x 19 x 23

Prime Factorization of 265 is 5 x 53

The above numbers do not have any common prime factor. So GCD is 1

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, 310) = 53320

GCD(344, 310) = ( 344 x 310 ) / 53320

GCD(344, 310) = 106640 / 53320

GCD(344, 310) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 874

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

LCM(2, 874) = 874

GCD(2, 874) = ( 2 x 874 ) / 874

GCD(2, 874) = 1748 / 874

GCD(2, 874) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 265

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

LCM(2, 265) = 530

GCD(2, 265) = ( 2 x 265 ) / 530

GCD(2, 265) = 530 / 530

GCD(2, 265) = 1

GCD of 344, 310, 874, 265 is 1

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• GCD of 999, 799, 803, 580
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• GCD of 196, 528, 230, 896

1. What is the GCD of 344, 310, 874, 265?

GCD of 344, 310, 874, 265 is 1

2. Where do I get the detailed procedure to find GCD of 344, 310, 874, 265?

You can find a detailed procedure to find GCD of 344, 310, 874, 265 on our page.

3. How to find GCD of 344, 310, 874, 265 on a calculator?

You can find the GCD of 344, 310, 874, 265 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.