GCD of 484, 165, 430, 682 Calculator

Given Input numbers are 484, 165, 430, 682

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

Divisors of 484

List of positive integer divisors of 484 that divides 484 without a remainder.

1, 2, 4, 11, 22, 44, 121, 242, 484

Divisors of 165

List of positive integer divisors of 165 that divides 165 without a remainder.

1, 3, 5, 11, 15, 33, 55, 165

Divisors of 430

List of positive integer divisors of 430 that divides 430 without a remainder.

1, 2, 5, 10, 43, 86, 215, 430

Divisors of 682

List of positive integer divisors of 682 that divides 682 without a remainder.

1, 2, 11, 22, 31, 62, 341, 682

Greatest Common Divisior

We found the divisors of 484, 165, 430, 682 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 484, 165, 430, 682 is 1.

Therefore, GCD of numbers 484, 165, 430, 682 is 1

Given Input Data is 484, 165, 430, 682

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

Prime Factorization of 484 is 2 x 2 x 11 x 11

Prime Factorization of 165 is 3 x 5 x 11

Prime Factorization of 430 is 2 x 5 x 43

Prime Factorization of 682 is 2 x 11 x 31

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(484, 165) = 7260

GCD(484, 165) = ( 484 x 165 ) / 7260

GCD(484, 165) = 79860 / 7260

GCD(484, 165) = 11

Step2:

Here we consider the GCD from the above i.e. 11 as first number and the next as 430

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

LCM(11, 430) = 4730

GCD(11, 430) = ( 11 x 430 ) / 4730

GCD(11, 430) = 4730 / 4730

GCD(11, 430) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 682

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

LCM(1, 682) = 682

GCD(1, 682) = ( 1 x 682 ) / 682

GCD(1, 682) = 682 / 682

GCD(1, 682) = 1

GCD of 484, 165, 430, 682 is 1

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1. What is the GCD of 484, 165, 430, 682?

GCD of 484, 165, 430, 682 is 1

2. Where do I get the detailed procedure to find GCD of 484, 165, 430, 682?

You can find a detailed procedure to find GCD of 484, 165, 430, 682 on our page.

3. How to find GCD of 484, 165, 430, 682 on a calculator?

You can find the GCD of 484, 165, 430, 682 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.