GCD of 484, 414, 85, 788 Calculator

Given Input numbers are 484, 414, 85, 788

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 414

List of positive integer divisors of 414 that divides 414 without a remainder.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

Divisors of 85

List of positive integer divisors of 85 that divides 85 without a remainder.

1, 5, 17, 85

Divisors of 788

List of positive integer divisors of 788 that divides 788 without a remainder.

1, 2, 4, 197, 394, 788

Greatest Common Divisior

We found the divisors of 484, 414, 85, 788 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 484, 414, 85, 788 is 1.

Therefore, GCD of numbers 484, 414, 85, 788 is 1

Given Input Data is 484, 414, 85, 788

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 414 is 2 x 3 x 3 x 23

Prime Factorization of 85 is 5 x 17

Prime Factorization of 788 is 2 x 2 x 197

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, 414) = 100188

GCD(484, 414) = ( 484 x 414 ) / 100188

GCD(484, 414) = 200376 / 100188

GCD(484, 414) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 85

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

LCM(2, 85) = 170

GCD(2, 85) = ( 2 x 85 ) / 170

GCD(2, 85) = 170 / 170

GCD(2, 85) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 788

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

LCM(1, 788) = 788

GCD(1, 788) = ( 1 x 788 ) / 788

GCD(1, 788) = 788 / 788

GCD(1, 788) = 1

GCD of 484, 414, 85, 788 is 1

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• GCD of 822, 983, 15, 317
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• GCD of 194, 444, 42, 339

1. What is the GCD of 484, 414, 85, 788?

GCD of 484, 414, 85, 788 is 1

2. Where do I get the detailed procedure to find GCD of 484, 414, 85, 788?

You can find a detailed procedure to find GCD of 484, 414, 85, 788 on our page.

3. How to find GCD of 484, 414, 85, 788 on a calculator?

You can find the GCD of 484, 414, 85, 788 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.