GCD of 154, 484, 431, 489 Calculator

Given Input numbers are 154, 484, 431, 489

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

Divisors of 154

List of positive integer divisors of 154 that divides 154 without a remainder.

1, 2, 7, 11, 14, 22, 77, 154

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

Divisors of 431

List of positive integer divisors of 431 that divides 431 without a remainder.

1, 431

Divisors of 489

List of positive integer divisors of 489 that divides 489 without a remainder.

1, 3, 163, 489

Greatest Common Divisior

We found the divisors of 154, 484, 431, 489 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 154, 484, 431, 489 is 1.

Therefore, GCD of numbers 154, 484, 431, 489 is 1

Given Input Data is 154, 484, 431, 489

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

Prime Factorization of 154 is 2 x 7 x 11

Prime Factorization of 484 is 2 x 2 x 11 x 11

Prime Factorization of 431 is 431

Prime Factorization of 489 is 3 x 163

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(154, 484) = 3388

GCD(154, 484) = ( 154 x 484 ) / 3388

GCD(154, 484) = 74536 / 3388

GCD(154, 484) = 22

Step2:

Here we consider the GCD from the above i.e. 22 as first number and the next as 431

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

LCM(22, 431) = 9482

GCD(22, 431) = ( 22 x 431 ) / 9482

GCD(22, 431) = 9482 / 9482

GCD(22, 431) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 489

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

LCM(1, 489) = 489

GCD(1, 489) = ( 1 x 489 ) / 489

GCD(1, 489) = 489 / 489

GCD(1, 489) = 1

GCD of 154, 484, 431, 489 is 1

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1. What is the GCD of 154, 484, 431, 489?

GCD of 154, 484, 431, 489 is 1

2. Where do I get the detailed procedure to find GCD of 154, 484, 431, 489?

You can find a detailed procedure to find GCD of 154, 484, 431, 489 on our page.

3. How to find GCD of 154, 484, 431, 489 on a calculator?

You can find the GCD of 154, 484, 431, 489 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.