GCD of 457, 559, 38, 338 Calculator

Given Input numbers are 457, 559, 38, 338

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

Divisors of 457

List of positive integer divisors of 457 that divides 457 without a remainder.

1, 457

Divisors of 559

List of positive integer divisors of 559 that divides 559 without a remainder.

1, 13, 43, 559

Divisors of 38

List of positive integer divisors of 38 that divides 38 without a remainder.

1, 2, 19, 38

Divisors of 338

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

1, 2, 13, 26, 169, 338

Greatest Common Divisior

We found the divisors of 457, 559, 38, 338 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 457, 559, 38, 338 is 1.

Therefore, GCD of numbers 457, 559, 38, 338 is 1

Given Input Data is 457, 559, 38, 338

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

Prime Factorization of 457 is 457

Prime Factorization of 559 is 13 x 43

Prime Factorization of 38 is 2 x 19

Prime Factorization of 338 is 2 x 13 x 13

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(457, 559) = 255463

GCD(457, 559) = ( 457 x 559 ) / 255463

GCD(457, 559) = 255463 / 255463

GCD(457, 559) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 38

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

LCM(1, 38) = 38

GCD(1, 38) = ( 1 x 38 ) / 38

GCD(1, 38) = 38 / 38

GCD(1, 38) = 1

Step3:

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

GCD of 457, 559, 38, 338 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 115, 148, 76, 170
• GCD of 926, 153, 35, 627
• GCD of 994, 212, 16, 960
• GCD of 248, 456, 25, 658
• GCD of 355, 601, 88, 194

1. What is the GCD of 457, 559, 38, 338?

GCD of 457, 559, 38, 338 is 1

2. Where do I get the detailed procedure to find GCD of 457, 559, 38, 338?

You can find a detailed procedure to find GCD of 457, 559, 38, 338 on our page.

3. How to find GCD of 457, 559, 38, 338 on a calculator?

You can find the GCD of 457, 559, 38, 338 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.