GCD of 282, 165, 778, 931 Calculator

Given Input numbers are 282, 165, 778, 931

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

Divisors of 282

List of positive integer divisors of 282 that divides 282 without a remainder.

1, 2, 3, 6, 47, 94, 141, 282

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 778

List of positive integer divisors of 778 that divides 778 without a remainder.

1, 2, 389, 778

Divisors of 931

List of positive integer divisors of 931 that divides 931 without a remainder.

1, 7, 19, 49, 133, 931

Greatest Common Divisior

We found the divisors of 282, 165, 778, 931 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 282, 165, 778, 931 is 1.

Therefore, GCD of numbers 282, 165, 778, 931 is 1

Given Input Data is 282, 165, 778, 931

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

Prime Factorization of 282 is 2 x 3 x 47

Prime Factorization of 165 is 3 x 5 x 11

Prime Factorization of 778 is 2 x 389

Prime Factorization of 931 is 7 x 7 x 19

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(282, 165) = 15510

GCD(282, 165) = ( 282 x 165 ) / 15510

GCD(282, 165) = 46530 / 15510

GCD(282, 165) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 778

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

LCM(3, 778) = 2334

GCD(3, 778) = ( 3 x 778 ) / 2334

GCD(3, 778) = 2334 / 2334

GCD(3, 778) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 931

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

LCM(1, 931) = 931

GCD(1, 931) = ( 1 x 931 ) / 931

GCD(1, 931) = 931 / 931

GCD(1, 931) = 1

GCD of 282, 165, 778, 931 is 1

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1. What is the GCD of 282, 165, 778, 931?

GCD of 282, 165, 778, 931 is 1

2. Where do I get the detailed procedure to find GCD of 282, 165, 778, 931?

You can find a detailed procedure to find GCD of 282, 165, 778, 931 on our page.

3. How to find GCD of 282, 165, 778, 931 on a calculator?

You can find the GCD of 282, 165, 778, 931 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.