GCD of 838, 966, 349, 503 Calculator

Given Input numbers are 838, 966, 349, 503

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

Divisors of 838

List of positive integer divisors of 838 that divides 838 without a remainder.

1, 2, 419, 838

Divisors of 966

List of positive integer divisors of 966 that divides 966 without a remainder.

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

Divisors of 349

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

1, 349

Divisors of 503

List of positive integer divisors of 503 that divides 503 without a remainder.

1, 503

Greatest Common Divisior

We found the divisors of 838, 966, 349, 503 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 838, 966, 349, 503 is 1.

Therefore, GCD of numbers 838, 966, 349, 503 is 1

Given Input Data is 838, 966, 349, 503

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

Prime Factorization of 838 is 2 x 419

Prime Factorization of 966 is 2 x 3 x 7 x 23

Prime Factorization of 349 is 349

Prime Factorization of 503 is 503

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(838, 966) = 404754

GCD(838, 966) = ( 838 x 966 ) / 404754

GCD(838, 966) = 809508 / 404754

GCD(838, 966) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 349

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

LCM(2, 349) = 698

GCD(2, 349) = ( 2 x 349 ) / 698

GCD(2, 349) = 698 / 698

GCD(2, 349) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 503

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

LCM(1, 503) = 503

GCD(1, 503) = ( 1 x 503 ) / 503

GCD(1, 503) = 503 / 503

GCD(1, 503) = 1

GCD of 838, 966, 349, 503 is 1

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• GCD of 734, 392, 403, 313
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1. What is the GCD of 838, 966, 349, 503?

GCD of 838, 966, 349, 503 is 1

2. Where do I get the detailed procedure to find GCD of 838, 966, 349, 503?

You can find a detailed procedure to find GCD of 838, 966, 349, 503 on our page.

3. How to find GCD of 838, 966, 349, 503 on a calculator?

You can find the GCD of 838, 966, 349, 503 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.