GCD of 344, 790, 670, 269 Calculator

Given Input numbers are 344, 790, 670, 269

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 790

List of positive integer divisors of 790 that divides 790 without a remainder.

1, 2, 5, 10, 79, 158, 395, 790

Divisors of 670

List of positive integer divisors of 670 that divides 670 without a remainder.

1, 2, 5, 10, 67, 134, 335, 670

Divisors of 269

List of positive integer divisors of 269 that divides 269 without a remainder.

1, 269

Greatest Common Divisior

We found the divisors of 344, 790, 670, 269 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 344, 790, 670, 269 is 1.

Therefore, GCD of numbers 344, 790, 670, 269 is 1

Given Input Data is 344, 790, 670, 269

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 790 is 2 x 5 x 79

Prime Factorization of 670 is 2 x 5 x 67

Prime Factorization of 269 is 269

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, 790) = 135880

GCD(344, 790) = ( 344 x 790 ) / 135880

GCD(344, 790) = 271760 / 135880

GCD(344, 790) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 670

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

LCM(2, 670) = 670

GCD(2, 670) = ( 2 x 670 ) / 670

GCD(2, 670) = 1340 / 670

GCD(2, 670) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 269

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

LCM(2, 269) = 538

GCD(2, 269) = ( 2 x 269 ) / 538

GCD(2, 269) = 538 / 538

GCD(2, 269) = 1

GCD of 344, 790, 670, 269 is 1

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1. What is the GCD of 344, 790, 670, 269?

GCD of 344, 790, 670, 269 is 1

2. Where do I get the detailed procedure to find GCD of 344, 790, 670, 269?

You can find a detailed procedure to find GCD of 344, 790, 670, 269 on our page.

3. How to find GCD of 344, 790, 670, 269 on a calculator?

You can find the GCD of 344, 790, 670, 269 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.