GCD of 241, 338, 54, 464 Calculator

Given Input numbers are 241, 338, 54, 464

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

Divisors of 241

List of positive integer divisors of 241 that divides 241 without a remainder.

1, 241

Divisors of 338

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

1, 2, 13, 26, 169, 338

Divisors of 54

List of positive integer divisors of 54 that divides 54 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54

Divisors of 464

List of positive integer divisors of 464 that divides 464 without a remainder.

1, 2, 4, 8, 16, 29, 58, 116, 232, 464

Greatest Common Divisior

We found the divisors of 241, 338, 54, 464 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 241, 338, 54, 464 is 1.

Therefore, GCD of numbers 241, 338, 54, 464 is 1

Given Input Data is 241, 338, 54, 464

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

Prime Factorization of 241 is 241

Prime Factorization of 338 is 2 x 13 x 13

Prime Factorization of 54 is 2 x 3 x 3 x 3

Prime Factorization of 464 is 2 x 2 x 2 x 2 x 29

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(241, 338) = 81458

GCD(241, 338) = ( 241 x 338 ) / 81458

GCD(241, 338) = 81458 / 81458

GCD(241, 338) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 54

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

LCM(1, 54) = 54

GCD(1, 54) = ( 1 x 54 ) / 54

GCD(1, 54) = 54 / 54

GCD(1, 54) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 464

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

LCM(1, 464) = 464

GCD(1, 464) = ( 1 x 464 ) / 464

GCD(1, 464) = 464 / 464

GCD(1, 464) = 1

GCD of 241, 338, 54, 464 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 169, 373, 91, 911
• GCD of 810, 134, 61, 417
• GCD of 657, 958, 74, 720
• GCD of 930, 433, 54, 358
• GCD of 897, 465, 82, 782

1. What is the GCD of 241, 338, 54, 464?

GCD of 241, 338, 54, 464 is 1

2. Where do I get the detailed procedure to find GCD of 241, 338, 54, 464?

You can find a detailed procedure to find GCD of 241, 338, 54, 464 on our page.

3. How to find GCD of 241, 338, 54, 464 on a calculator?

You can find the GCD of 241, 338, 54, 464 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.