GCD of 182, 420, 90, 459 Calculator

Given Input numbers are 182, 420, 90, 459

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

Divisors of 182

List of positive integer divisors of 182 that divides 182 without a remainder.

1, 2, 7, 13, 14, 26, 91, 182

Divisors of 420

List of positive integer divisors of 420 that divides 420 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Divisors of 90

List of positive integer divisors of 90 that divides 90 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

Divisors of 459

List of positive integer divisors of 459 that divides 459 without a remainder.

1, 3, 9, 17, 27, 51, 153, 459

Greatest Common Divisior

We found the divisors of 182, 420, 90, 459 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 182, 420, 90, 459 is 1.

Therefore, GCD of numbers 182, 420, 90, 459 is 1

Given Input Data is 182, 420, 90, 459

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

Prime Factorization of 182 is 2 x 7 x 13

Prime Factorization of 420 is 2 x 2 x 3 x 5 x 7

Prime Factorization of 90 is 2 x 3 x 3 x 5

Prime Factorization of 459 is 3 x 3 x 3 x 17

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(182, 420) = 5460

GCD(182, 420) = ( 182 x 420 ) / 5460

GCD(182, 420) = 76440 / 5460

GCD(182, 420) = 14

Step2:

Here we consider the GCD from the above i.e. 14 as first number and the next as 90

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

LCM(14, 90) = 630

GCD(14, 90) = ( 14 x 90 ) / 630

GCD(14, 90) = 1260 / 630

GCD(14, 90) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 459

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

LCM(2, 459) = 918

GCD(2, 459) = ( 2 x 459 ) / 918

GCD(2, 459) = 918 / 918

GCD(2, 459) = 1

GCD of 182, 420, 90, 459 is 1

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• GCD of 939, 831, 21, 638
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1. What is the GCD of 182, 420, 90, 459?

GCD of 182, 420, 90, 459 is 1

2. Where do I get the detailed procedure to find GCD of 182, 420, 90, 459?

You can find a detailed procedure to find GCD of 182, 420, 90, 459 on our page.

3. How to find GCD of 182, 420, 90, 459 on a calculator?

You can find the GCD of 182, 420, 90, 459 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.