GCD of 684, 774, 54, 461 Calculator

Given Input numbers are 684, 774, 54, 461

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

Divisors of 684

List of positive integer divisors of 684 that divides 684 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

Divisors of 774

List of positive integer divisors of 774 that divides 774 without a remainder.

1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

Divisors of 54

List of positive integer divisors of 54 that divides 54 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54

Divisors of 461

List of positive integer divisors of 461 that divides 461 without a remainder.

1, 461

Greatest Common Divisior

We found the divisors of 684, 774, 54, 461 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 684, 774, 54, 461 is 1.

Therefore, GCD of numbers 684, 774, 54, 461 is 1

Given Input Data is 684, 774, 54, 461

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

Prime Factorization of 684 is 2 x 2 x 3 x 3 x 19

Prime Factorization of 774 is 2 x 3 x 3 x 43

Prime Factorization of 54 is 2 x 3 x 3 x 3

Prime Factorization of 461 is 461

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(684, 774) = 29412

GCD(684, 774) = ( 684 x 774 ) / 29412

GCD(684, 774) = 529416 / 29412

GCD(684, 774) = 18

Step2:

Here we consider the GCD from the above i.e. 18 as first number and the next as 54

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

LCM(18, 54) = 54

GCD(18, 54) = ( 18 x 54 ) / 54

GCD(18, 54) = 972 / 54

GCD(18, 54) = 18

Step3:

Here we consider the GCD from the above i.e. 18 as first number and the next as 461

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

LCM(18, 461) = 8298

GCD(18, 461) = ( 18 x 461 ) / 8298

GCD(18, 461) = 8298 / 8298

GCD(18, 461) = 1

GCD of 684, 774, 54, 461 is 1

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• GCD of 639, 150, 39, 199
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• GCD of 899, 808, 37, 175

1. What is the GCD of 684, 774, 54, 461?

GCD of 684, 774, 54, 461 is 1

2. Where do I get the detailed procedure to find GCD of 684, 774, 54, 461?

You can find a detailed procedure to find GCD of 684, 774, 54, 461 on our page.

3. How to find GCD of 684, 774, 54, 461 on a calculator?

You can find the GCD of 684, 774, 54, 461 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.