GCD of 831, 461, 585, 966 Calculator

Given Input numbers are 831, 461, 585, 966

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

Divisors of 831

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

1, 3, 277, 831

Divisors of 461

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

1, 461

Divisors of 585

List of positive integer divisors of 585 that divides 585 without a remainder.

1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

Divisors of 966

List of positive integer divisors of 966 that divides 966 without a remainder.

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

Greatest Common Divisior

We found the divisors of 831, 461, 585, 966 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 831, 461, 585, 966 is 1.

Therefore, GCD of numbers 831, 461, 585, 966 is 1

Given Input Data is 831, 461, 585, 966

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

Prime Factorization of 831 is 3 x 277

Prime Factorization of 461 is 461

Prime Factorization of 585 is 3 x 3 x 5 x 13

Prime Factorization of 966 is 2 x 3 x 7 x 23

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(831, 461) = 383091

GCD(831, 461) = ( 831 x 461 ) / 383091

GCD(831, 461) = 383091 / 383091

GCD(831, 461) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 585

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

LCM(1, 585) = 585

GCD(1, 585) = ( 1 x 585 ) / 585

GCD(1, 585) = 585 / 585

GCD(1, 585) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 966

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

LCM(1, 966) = 966

GCD(1, 966) = ( 1 x 966 ) / 966

GCD(1, 966) = 966 / 966

GCD(1, 966) = 1

GCD of 831, 461, 585, 966 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 415, 344, 536, 524
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• GCD of 276, 739, 716, 354
• GCD of 821, 346, 320, 766
• GCD of 420, 947, 502, 630

1. What is the GCD of 831, 461, 585, 966?

GCD of 831, 461, 585, 966 is 1

2. Where do I get the detailed procedure to find GCD of 831, 461, 585, 966?

You can find a detailed procedure to find GCD of 831, 461, 585, 966 on our page.

3. How to find GCD of 831, 461, 585, 966 on a calculator?

You can find the GCD of 831, 461, 585, 966 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.