GCD of 830, 538, 86, 882 Calculator

Given Input numbers are 830, 538, 86, 882

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

Divisors of 830

List of positive integer divisors of 830 that divides 830 without a remainder.

1, 2, 5, 10, 83, 166, 415, 830

Divisors of 538

List of positive integer divisors of 538 that divides 538 without a remainder.

1, 2, 269, 538

Divisors of 86

List of positive integer divisors of 86 that divides 86 without a remainder.

1, 2, 43, 86

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

Greatest Common Divisior

We found the divisors of 830, 538, 86, 882 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 830, 538, 86, 882 is 2.

Therefore, GCD of numbers 830, 538, 86, 882 is 2

Given Input Data is 830, 538, 86, 882

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

Prime Factorization of 830 is 2 x 5 x 83

Prime Factorization of 538 is 2 x 269

Prime Factorization of 86 is 2 x 43

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

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(830, 538) = 223270

GCD(830, 538) = ( 830 x 538 ) / 223270

GCD(830, 538) = 446540 / 223270

GCD(830, 538) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 86

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

LCM(2, 86) = 86

GCD(2, 86) = ( 2 x 86 ) / 86

GCD(2, 86) = 172 / 86

GCD(2, 86) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 882

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

LCM(2, 882) = 882

GCD(2, 882) = ( 2 x 882 ) / 882

GCD(2, 882) = 1764 / 882

GCD(2, 882) = 2

GCD of 830, 538, 86, 882 is 2

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1. What is the GCD of 830, 538, 86, 882?

GCD of 830, 538, 86, 882 is 2

2. Where do I get the detailed procedure to find GCD of 830, 538, 86, 882?

You can find a detailed procedure to find GCD of 830, 538, 86, 882 on our page.

3. How to find GCD of 830, 538, 86, 882 on a calculator?

You can find the GCD of 830, 538, 86, 882 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.