GCD of 137, 264, 398, 484 Calculator

Given Input numbers are 137, 264, 398, 484

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

Divisors of 137

List of positive integer divisors of 137 that divides 137 without a remainder.

1, 137

Divisors of 264

List of positive integer divisors of 264 that divides 264 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

Divisors of 398

List of positive integer divisors of 398 that divides 398 without a remainder.

1, 2, 199, 398

Divisors of 484

List of positive integer divisors of 484 that divides 484 without a remainder.

1, 2, 4, 11, 22, 44, 121, 242, 484

Greatest Common Divisior

We found the divisors of 137, 264, 398, 484 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 137, 264, 398, 484 is 1.

Therefore, GCD of numbers 137, 264, 398, 484 is 1

Given Input Data is 137, 264, 398, 484

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

Prime Factorization of 137 is 137

Prime Factorization of 264 is 2 x 2 x 2 x 3 x 11

Prime Factorization of 398 is 2 x 199

Prime Factorization of 484 is 2 x 2 x 11 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(137, 264) = 36168

GCD(137, 264) = ( 137 x 264 ) / 36168

GCD(137, 264) = 36168 / 36168

GCD(137, 264) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 398

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

LCM(1, 398) = 398

GCD(1, 398) = ( 1 x 398 ) / 398

GCD(1, 398) = 398 / 398

GCD(1, 398) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 484

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

LCM(1, 484) = 484

GCD(1, 484) = ( 1 x 484 ) / 484

GCD(1, 484) = 484 / 484

GCD(1, 484) = 1

GCD of 137, 264, 398, 484 is 1

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1. What is the GCD of 137, 264, 398, 484?

GCD of 137, 264, 398, 484 is 1

2. Where do I get the detailed procedure to find GCD of 137, 264, 398, 484?

You can find a detailed procedure to find GCD of 137, 264, 398, 484 on our page.

3. How to find GCD of 137, 264, 398, 484 on a calculator?

You can find the GCD of 137, 264, 398, 484 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.