GCD of 545, 598, 338, 303 Calculator

Given Input numbers are 545, 598, 338, 303

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

Divisors of 545

List of positive integer divisors of 545 that divides 545 without a remainder.

1, 5, 109, 545

Divisors of 598

List of positive integer divisors of 598 that divides 598 without a remainder.

1, 2, 13, 23, 26, 46, 299, 598

Divisors of 338

List of positive integer divisors of 338 that divides 338 without a remainder.

1, 2, 13, 26, 169, 338

Divisors of 303

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

1, 3, 101, 303

Greatest Common Divisior

We found the divisors of 545, 598, 338, 303 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 545, 598, 338, 303 is 1.

Therefore, GCD of numbers 545, 598, 338, 303 is 1

Given Input Data is 545, 598, 338, 303

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

Prime Factorization of 545 is 5 x 109

Prime Factorization of 598 is 2 x 13 x 23

Prime Factorization of 338 is 2 x 13 x 13

Prime Factorization of 303 is 3 x 101

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(545, 598) = 325910

GCD(545, 598) = ( 545 x 598 ) / 325910

GCD(545, 598) = 325910 / 325910

GCD(545, 598) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 338

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

LCM(1, 338) = 338

GCD(1, 338) = ( 1 x 338 ) / 338

GCD(1, 338) = 338 / 338

GCD(1, 338) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 303

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

LCM(1, 303) = 303

GCD(1, 303) = ( 1 x 303 ) / 303

GCD(1, 303) = 303 / 303

GCD(1, 303) = 1

GCD of 545, 598, 338, 303 is 1

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1. What is the GCD of 545, 598, 338, 303?

GCD of 545, 598, 338, 303 is 1

2. Where do I get the detailed procedure to find GCD of 545, 598, 338, 303?

You can find a detailed procedure to find GCD of 545, 598, 338, 303 on our page.

3. How to find GCD of 545, 598, 338, 303 on a calculator?

You can find the GCD of 545, 598, 338, 303 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.