GCD of 830, 282, 362 Calculator

Given Input numbers are 830, 282, 362

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 282

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

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

Divisors of 362

List of positive integer divisors of 362 that divides 362 without a remainder.

1, 2, 181, 362

Greatest Common Divisior

We found the divisors of 830, 282, 362 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 830, 282, 362 is 2.

Therefore, GCD of numbers 830, 282, 362 is 2

Given Input Data is 830, 282, 362

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 282 is 2 x 3 x 47

Prime Factorization of 362 is 2 x 181

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, 282) = 117030

GCD(830, 282) = ( 830 x 282 ) / 117030

GCD(830, 282) = 234060 / 117030

GCD(830, 282) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 362

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

LCM(2, 362) = 362

GCD(2, 362) = ( 2 x 362 ) / 362

GCD(2, 362) = 724 / 362

GCD(2, 362) = 2

GCD of 830, 282, 362 is 2

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1. What is the GCD of 830, 282, 362?

GCD of 830, 282, 362 is 2

2. Where do I get the detailed procedure to find GCD of 830, 282, 362?

You can find a detailed procedure to find GCD of 830, 282, 362 on our page.

3. How to find GCD of 830, 282, 362 on a calculator?

You can find the GCD of 830, 282, 362 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.