GCD of 49, 400, 189, 489 Calculator

Given Input numbers are 49, 400, 189, 489

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

Divisors of 49

List of positive integer divisors of 49 that divides 49 without a remainder.

1, 7, 49

Divisors of 400

List of positive integer divisors of 400 that divides 400 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

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 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 49, 400, 189, 489 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 49, 400, 189, 489 is 1.

Therefore, GCD of numbers 49, 400, 189, 489 is 1

Given Input Data is 49, 400, 189, 489

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

Prime Factorization of 49 is 7 x 7

Prime Factorization of 400 is 2 x 2 x 2 x 2 x 5 x 5

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

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(49, 400) = 19600

GCD(49, 400) = ( 49 x 400 ) / 19600

GCD(49, 400) = 19600 / 19600

GCD(49, 400) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 189

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

LCM(1, 189) = 189

GCD(1, 189) = ( 1 x 189 ) / 189

GCD(1, 189) = 189 / 189

GCD(1, 189) = 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 49, 400, 189, 489 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 35, 569, 965, 409
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• GCD of 23, 516, 768, 338

1. What is the GCD of 49, 400, 189, 489?

GCD of 49, 400, 189, 489 is 1

2. Where do I get the detailed procedure to find GCD of 49, 400, 189, 489?

You can find a detailed procedure to find GCD of 49, 400, 189, 489 on our page.

3. How to find GCD of 49, 400, 189, 489 on a calculator?

You can find the GCD of 49, 400, 189, 489 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.