GCD of 303, 838, 183, 704 Calculator

Given Input numbers are 303, 838, 183, 704

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

Divisors of 303

List of positive integer divisors of 303 that divides 303 without a remainder.

1, 3, 101, 303

Divisors of 838

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

1, 2, 419, 838

Divisors of 183

List of positive integer divisors of 183 that divides 183 without a remainder.

1, 3, 61, 183

Divisors of 704

List of positive integer divisors of 704 that divides 704 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

Greatest Common Divisior

We found the divisors of 303, 838, 183, 704 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 303, 838, 183, 704 is 1.

Therefore, GCD of numbers 303, 838, 183, 704 is 1

Given Input Data is 303, 838, 183, 704

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

Prime Factorization of 303 is 3 x 101

Prime Factorization of 838 is 2 x 419

Prime Factorization of 183 is 3 x 61

Prime Factorization of 704 is 2 x 2 x 2 x 2 x 2 x 2 x 11

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(303, 838) = 253914

GCD(303, 838) = ( 303 x 838 ) / 253914

GCD(303, 838) = 253914 / 253914

GCD(303, 838) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 183

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

LCM(1, 183) = 183

GCD(1, 183) = ( 1 x 183 ) / 183

GCD(1, 183) = 183 / 183

GCD(1, 183) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 704

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

LCM(1, 704) = 704

GCD(1, 704) = ( 1 x 704 ) / 704

GCD(1, 704) = 704 / 704

GCD(1, 704) = 1

GCD of 303, 838, 183, 704 is 1

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1. What is the GCD of 303, 838, 183, 704?

GCD of 303, 838, 183, 704 is 1

2. Where do I get the detailed procedure to find GCD of 303, 838, 183, 704?

You can find a detailed procedure to find GCD of 303, 838, 183, 704 on our page.

3. How to find GCD of 303, 838, 183, 704 on a calculator?

You can find the GCD of 303, 838, 183, 704 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.