GCD of 830, 786, 324, 106 Calculator

Given Input numbers are 830, 786, 324, 106

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 786

List of positive integer divisors of 786 that divides 786 without a remainder.

1, 2, 3, 6, 131, 262, 393, 786

Divisors of 324

List of positive integer divisors of 324 that divides 324 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

Divisors of 106

List of positive integer divisors of 106 that divides 106 without a remainder.

1, 2, 53, 106

Greatest Common Divisior

We found the divisors of 830, 786, 324, 106 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 830, 786, 324, 106 is 2.

Therefore, GCD of numbers 830, 786, 324, 106 is 2

Given Input Data is 830, 786, 324, 106

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 786 is 2 x 3 x 131

Prime Factorization of 324 is 2 x 2 x 3 x 3 x 3 x 3

Prime Factorization of 106 is 2 x 53

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, 786) = 326190

GCD(830, 786) = ( 830 x 786 ) / 326190

GCD(830, 786) = 652380 / 326190

GCD(830, 786) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 324

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

LCM(2, 324) = 324

GCD(2, 324) = ( 2 x 324 ) / 324

GCD(2, 324) = 648 / 324

GCD(2, 324) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 106

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

LCM(2, 106) = 106

GCD(2, 106) = ( 2 x 106 ) / 106

GCD(2, 106) = 212 / 106

GCD(2, 106) = 2

GCD of 830, 786, 324, 106 is 2

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• GCD of 682, 192, 124, 418
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1. What is the GCD of 830, 786, 324, 106?

GCD of 830, 786, 324, 106 is 2

2. Where do I get the detailed procedure to find GCD of 830, 786, 324, 106?

You can find a detailed procedure to find GCD of 830, 786, 324, 106 on our page.

3. How to find GCD of 830, 786, 324, 106 on a calculator?

You can find the GCD of 830, 786, 324, 106 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.