GCD of 344, 674, 633, 338 Calculator

Given Input numbers are 344, 674, 633, 338

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 674

List of positive integer divisors of 674 that divides 674 without a remainder.

1, 2, 337, 674

Divisors of 633

List of positive integer divisors of 633 that divides 633 without a remainder.

1, 3, 211, 633

Divisors of 338

List of positive integer divisors of 338 that divides 338 without a remainder.

1, 2, 13, 26, 169, 338

Greatest Common Divisior

We found the divisors of 344, 674, 633, 338 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 344, 674, 633, 338 is 1.

Therefore, GCD of numbers 344, 674, 633, 338 is 1

Given Input Data is 344, 674, 633, 338

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 674 is 2 x 337

Prime Factorization of 633 is 3 x 211

Prime Factorization of 338 is 2 x 13 x 13

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, 674) = 115928

GCD(344, 674) = ( 344 x 674 ) / 115928

GCD(344, 674) = 231856 / 115928

GCD(344, 674) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 633

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

LCM(2, 633) = 1266

GCD(2, 633) = ( 2 x 633 ) / 1266

GCD(2, 633) = 1266 / 1266

GCD(2, 633) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 338

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

LCM(1, 338) = 338

GCD(1, 338) = ( 1 x 338 ) / 338

GCD(1, 338) = 338 / 338

GCD(1, 338) = 1

GCD of 344, 674, 633, 338 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 579, 795, 430, 541
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1. What is the GCD of 344, 674, 633, 338?

GCD of 344, 674, 633, 338 is 1

2. Where do I get the detailed procedure to find GCD of 344, 674, 633, 338?

You can find a detailed procedure to find GCD of 344, 674, 633, 338 on our page.

3. How to find GCD of 344, 674, 633, 338 on a calculator?

You can find the GCD of 344, 674, 633, 338 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.