GCD of 490, 575, 189 Calculator

Given Input numbers are 490, 575, 189

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

Divisors of 490

List of positive integer divisors of 490 that divides 490 without a remainder.

1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

Divisors of 575

List of positive integer divisors of 575 that divides 575 without a remainder.

1, 5, 23, 25, 115, 575

Divisors of 189

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

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

Greatest Common Divisior

We found the divisors of 490, 575, 189 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 490, 575, 189 is 1.

Therefore, GCD of numbers 490, 575, 189 is 1

Given Input Data is 490, 575, 189

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

Prime Factorization of 490 is 2 x 5 x 7 x 7

Prime Factorization of 575 is 5 x 5 x 23

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

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(490, 575) = 56350

GCD(490, 575) = ( 490 x 575 ) / 56350

GCD(490, 575) = 281750 / 56350

GCD(490, 575) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 189

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

LCM(5, 189) = 945

GCD(5, 189) = ( 5 x 189 ) / 945

GCD(5, 189) = 945 / 945

GCD(5, 189) = 1

GCD of 490, 575, 189 is 1

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1. What is the GCD of 490, 575, 189?

GCD of 490, 575, 189 is 1

2. Where do I get the detailed procedure to find GCD of 490, 575, 189?

You can find a detailed procedure to find GCD of 490, 575, 189 on our page.

3. How to find GCD of 490, 575, 189 on a calculator?

You can find the GCD of 490, 575, 189 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.