GCD of 440, 189, 142, 489 Calculator

Given Input numbers are 440, 189, 142, 489

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

Divisors of 440

List of positive integer divisors of 440 that divides 440 without a remainder.

1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

Divisors of 189

List of positive integer divisors of 189 that divides 189 without a remainder.

1, 3, 7, 9, 21, 27, 63, 189

Divisors of 142

List of positive integer divisors of 142 that divides 142 without a remainder.

1, 2, 71, 142

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 440, 189, 142, 489 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 440, 189, 142, 489 is 1.

Therefore, GCD of numbers 440, 189, 142, 489 is 1

Given Input Data is 440, 189, 142, 489

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

Prime Factorization of 440 is 2 x 2 x 2 x 5 x 11

Prime Factorization of 189 is 3 x 3 x 3 x 7

Prime Factorization of 142 is 2 x 71

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(440, 189) = 83160

GCD(440, 189) = ( 440 x 189 ) / 83160

GCD(440, 189) = 83160 / 83160

GCD(440, 189) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 142

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

LCM(1, 142) = 142

GCD(1, 142) = ( 1 x 142 ) / 142

GCD(1, 142) = 142 / 142

GCD(1, 142) = 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 440, 189, 142, 489 is 1

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1. What is the GCD of 440, 189, 142, 489?

GCD of 440, 189, 142, 489 is 1

2. Where do I get the detailed procedure to find GCD of 440, 189, 142, 489?

You can find a detailed procedure to find GCD of 440, 189, 142, 489 on our page.

3. How to find GCD of 440, 189, 142, 489 on a calculator?

You can find the GCD of 440, 189, 142, 489 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.