GCD of 10, 882, 493, 311 Calculator

Given Input numbers are 10, 882, 493, 311

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

Divisors of 10

List of positive integer divisors of 10 that divides 10 without a remainder.

1, 2, 5, 10

Divisors of 882

List of positive integer divisors of 882 that divides 882 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882

Divisors of 493

List of positive integer divisors of 493 that divides 493 without a remainder.

1, 17, 29, 493

Divisors of 311

List of positive integer divisors of 311 that divides 311 without a remainder.

1, 311

Greatest Common Divisior

We found the divisors of 10, 882, 493, 311 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 10, 882, 493, 311 is 1.

Therefore, GCD of numbers 10, 882, 493, 311 is 1

Given Input Data is 10, 882, 493, 311

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

Prime Factorization of 10 is 2 x 5

Prime Factorization of 882 is 2 x 3 x 3 x 7 x 7

Prime Factorization of 493 is 17 x 29

Prime Factorization of 311 is 311

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(10, 882) = 4410

GCD(10, 882) = ( 10 x 882 ) / 4410

GCD(10, 882) = 8820 / 4410

GCD(10, 882) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 493

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

LCM(2, 493) = 986

GCD(2, 493) = ( 2 x 493 ) / 986

GCD(2, 493) = 986 / 986

GCD(2, 493) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 311

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

LCM(1, 311) = 311

GCD(1, 311) = ( 1 x 311 ) / 311

GCD(1, 311) = 311 / 311

GCD(1, 311) = 1

GCD of 10, 882, 493, 311 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 11, 838, 734, 734
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• GCD of 59, 328, 635, 307
• GCD of 86, 646, 148, 486
• GCD of 45, 807, 810, 380

1. What is the GCD of 10, 882, 493, 311?

GCD of 10, 882, 493, 311 is 1

2. Where do I get the detailed procedure to find GCD of 10, 882, 493, 311?

You can find a detailed procedure to find GCD of 10, 882, 493, 311 on our page.

3. How to find GCD of 10, 882, 493, 311 on a calculator?

You can find the GCD of 10, 882, 493, 311 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.