GCD of 172, 490, 76, 189 Calculator

Given Input numbers are 172, 490, 76, 189

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

Divisors of 172

List of positive integer divisors of 172 that divides 172 without a remainder.

1, 2, 4, 43, 86, 172

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 76

List of positive integer divisors of 76 that divides 76 without a remainder.

1, 2, 4, 19, 38, 76

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 172, 490, 76, 189 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 172, 490, 76, 189 is 1.

Therefore, GCD of numbers 172, 490, 76, 189 is 1

Given Input Data is 172, 490, 76, 189

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

Prime Factorization of 172 is 2 x 2 x 43

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

Prime Factorization of 76 is 2 x 2 x 19

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(172, 490) = 42140

GCD(172, 490) = ( 172 x 490 ) / 42140

GCD(172, 490) = 84280 / 42140

GCD(172, 490) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 76

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

LCM(2, 76) = 76

GCD(2, 76) = ( 2 x 76 ) / 76

GCD(2, 76) = 152 / 76

GCD(2, 76) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 189

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

LCM(2, 189) = 378

GCD(2, 189) = ( 2 x 189 ) / 378

GCD(2, 189) = 378 / 378

GCD(2, 189) = 1

GCD of 172, 490, 76, 189 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 840, 439, 92, 383
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• GCD of 815, 393, 34, 877
• GCD of 534, 383, 77, 271
• GCD of 520, 760, 69, 299

1. What is the GCD of 172, 490, 76, 189?

GCD of 172, 490, 76, 189 is 1

2. Where do I get the detailed procedure to find GCD of 172, 490, 76, 189?

You can find a detailed procedure to find GCD of 172, 490, 76, 189 on our page.

3. How to find GCD of 172, 490, 76, 189 on a calculator?

You can find the GCD of 172, 490, 76, 189 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.