GCD of 654, 513, 831, 385 Calculator

Given Input numbers are 654, 513, 831, 385

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

Divisors of 654

List of positive integer divisors of 654 that divides 654 without a remainder.

1, 2, 3, 6, 109, 218, 327, 654

Divisors of 513

List of positive integer divisors of 513 that divides 513 without a remainder.

1, 3, 9, 19, 27, 57, 171, 513

Divisors of 831

List of positive integer divisors of 831 that divides 831 without a remainder.

1, 3, 277, 831

Divisors of 385

List of positive integer divisors of 385 that divides 385 without a remainder.

1, 5, 7, 11, 35, 55, 77, 385

Greatest Common Divisior

We found the divisors of 654, 513, 831, 385 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 654, 513, 831, 385 is 1.

Therefore, GCD of numbers 654, 513, 831, 385 is 1

Given Input Data is 654, 513, 831, 385

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

Prime Factorization of 654 is 2 x 3 x 109

Prime Factorization of 513 is 3 x 3 x 3 x 19

Prime Factorization of 831 is 3 x 277

Prime Factorization of 385 is 5 x 7 x 11

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(654, 513) = 111834

GCD(654, 513) = ( 654 x 513 ) / 111834

GCD(654, 513) = 335502 / 111834

GCD(654, 513) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 831

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

LCM(3, 831) = 831

GCD(3, 831) = ( 3 x 831 ) / 831

GCD(3, 831) = 2493 / 831

GCD(3, 831) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 385

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

LCM(3, 385) = 1155

GCD(3, 385) = ( 3 x 385 ) / 1155

GCD(3, 385) = 1155 / 1155

GCD(3, 385) = 1

GCD of 654, 513, 831, 385 is 1

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1. What is the GCD of 654, 513, 831, 385?

GCD of 654, 513, 831, 385 is 1

2. Where do I get the detailed procedure to find GCD of 654, 513, 831, 385?

You can find a detailed procedure to find GCD of 654, 513, 831, 385 on our page.

3. How to find GCD of 654, 513, 831, 385 on a calculator?

You can find the GCD of 654, 513, 831, 385 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.