GCD of 349, 424, 538, 763 Calculator

Given Input numbers are 349, 424, 538, 763

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 424

List of positive integer divisors of 424 that divides 424 without a remainder.

1, 2, 4, 8, 53, 106, 212, 424

Divisors of 538

List of positive integer divisors of 538 that divides 538 without a remainder.

1, 2, 269, 538

Divisors of 763

List of positive integer divisors of 763 that divides 763 without a remainder.

1, 7, 109, 763

Greatest Common Divisior

We found the divisors of 349, 424, 538, 763 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 349, 424, 538, 763 is 1.

Therefore, GCD of numbers 349, 424, 538, 763 is 1

Given Input Data is 349, 424, 538, 763

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

Prime Factorization of 349 is 349

Prime Factorization of 424 is 2 x 2 x 2 x 53

Prime Factorization of 538 is 2 x 269

Prime Factorization of 763 is 7 x 109

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, 424) = 147976

GCD(349, 424) = ( 349 x 424 ) / 147976

GCD(349, 424) = 147976 / 147976

GCD(349, 424) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 538

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

LCM(1, 538) = 538

GCD(1, 538) = ( 1 x 538 ) / 538

GCD(1, 538) = 538 / 538

GCD(1, 538) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 763

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

LCM(1, 763) = 763

GCD(1, 763) = ( 1 x 763 ) / 763

GCD(1, 763) = 763 / 763

GCD(1, 763) = 1

GCD of 349, 424, 538, 763 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 218, 217, 404, 234
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• GCD of 916, 806, 293, 487

1. What is the GCD of 349, 424, 538, 763?

GCD of 349, 424, 538, 763 is 1

2. Where do I get the detailed procedure to find GCD of 349, 424, 538, 763?

You can find a detailed procedure to find GCD of 349, 424, 538, 763 on our page.

3. How to find GCD of 349, 424, 538, 763 on a calculator?

You can find the GCD of 349, 424, 538, 763 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.