GCD of 349, 109, 23, 426 Calculator

Given Input numbers are 349, 109, 23, 426

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

Divisors of 349

List of positive integer divisors of 349 that divides 349 without a remainder.

1, 349

Divisors of 109

List of positive integer divisors of 109 that divides 109 without a remainder.

1, 109

Divisors of 23

List of positive integer divisors of 23 that divides 23 without a remainder.

1, 23

Divisors of 426

List of positive integer divisors of 426 that divides 426 without a remainder.

1, 2, 3, 6, 71, 142, 213, 426

Greatest Common Divisior

We found the divisors of 349, 109, 23, 426 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 349, 109, 23, 426 is 1.

Therefore, GCD of numbers 349, 109, 23, 426 is 1

Given Input Data is 349, 109, 23, 426

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

Prime Factorization of 349 is 349

Prime Factorization of 109 is 109

Prime Factorization of 23 is 23

Prime Factorization of 426 is 2 x 3 x 71

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(349, 109) = 38041

GCD(349, 109) = ( 349 x 109 ) / 38041

GCD(349, 109) = 38041 / 38041

GCD(349, 109) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 23

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

LCM(1, 23) = 23

GCD(1, 23) = ( 1 x 23 ) / 23

GCD(1, 23) = 23 / 23

GCD(1, 23) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 426

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

LCM(1, 426) = 426

GCD(1, 426) = ( 1 x 426 ) / 426

GCD(1, 426) = 426 / 426

GCD(1, 426) = 1

GCD of 349, 109, 23, 426 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 103, 497, 47, 312
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• GCD of 572, 941, 67, 159

1. What is the GCD of 349, 109, 23, 426?

GCD of 349, 109, 23, 426 is 1

2. Where do I get the detailed procedure to find GCD of 349, 109, 23, 426?

You can find a detailed procedure to find GCD of 349, 109, 23, 426 on our page.

3. How to find GCD of 349, 109, 23, 426 on a calculator?

You can find the GCD of 349, 109, 23, 426 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.