GCD of 503, 791, 971, 349 Calculator

Given Input numbers are 503, 791, 971, 349

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

Divisors of 503

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

1, 503

Divisors of 791

List of positive integer divisors of 791 that divides 791 without a remainder.

1, 7, 113, 791

Divisors of 971

List of positive integer divisors of 971 that divides 971 without a remainder.

1, 971

Divisors of 349

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

1, 349

Greatest Common Divisior

We found the divisors of 503, 791, 971, 349 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 503, 791, 971, 349 is 1.

Therefore, GCD of numbers 503, 791, 971, 349 is 1

Given Input Data is 503, 791, 971, 349

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

Prime Factorization of 503 is 503

Prime Factorization of 791 is 7 x 113

Prime Factorization of 971 is 971

Prime Factorization of 349 is 349

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(503, 791) = 397873

GCD(503, 791) = ( 503 x 791 ) / 397873

GCD(503, 791) = 397873 / 397873

GCD(503, 791) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 971

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

LCM(1, 971) = 971

GCD(1, 971) = ( 1 x 971 ) / 971

GCD(1, 971) = 971 / 971

GCD(1, 971) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 349

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

LCM(1, 349) = 349

GCD(1, 349) = ( 1 x 349 ) / 349

GCD(1, 349) = 349 / 349

GCD(1, 349) = 1

GCD of 503, 791, 971, 349 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 400, 358, 442, 348
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• GCD of 858, 940, 760, 217

1. What is the GCD of 503, 791, 971, 349?

GCD of 503, 791, 971, 349 is 1

2. Where do I get the detailed procedure to find GCD of 503, 791, 971, 349?

You can find a detailed procedure to find GCD of 503, 791, 971, 349 on our page.

3. How to find GCD of 503, 791, 971, 349 on a calculator?

You can find the GCD of 503, 791, 971, 349 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.