GCD of 812, 294, 46, 364 Calculator

Given Input numbers are 812, 294, 46, 364

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

Divisors of 812

List of positive integer divisors of 812 that divides 812 without a remainder.

1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812

Divisors of 294

List of positive integer divisors of 294 that divides 294 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

Divisors of 46

List of positive integer divisors of 46 that divides 46 without a remainder.

1, 2, 23, 46

Divisors of 364

List of positive integer divisors of 364 that divides 364 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Greatest Common Divisior

We found the divisors of 812, 294, 46, 364 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 812, 294, 46, 364 is 2.

Therefore, GCD of numbers 812, 294, 46, 364 is 2

Given Input Data is 812, 294, 46, 364

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

Prime Factorization of 812 is 2 x 2 x 7 x 29

Prime Factorization of 294 is 2 x 3 x 7 x 7

Prime Factorization of 46 is 2 x 23

Prime Factorization of 364 is 2 x 2 x 7 x 13

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(812, 294) = 17052

GCD(812, 294) = ( 812 x 294 ) / 17052

GCD(812, 294) = 238728 / 17052

GCD(812, 294) = 14

Step2:

Here we consider the GCD from the above i.e. 14 as first number and the next as 46

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

LCM(14, 46) = 322

GCD(14, 46) = ( 14 x 46 ) / 322

GCD(14, 46) = 644 / 322

GCD(14, 46) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 364

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

LCM(2, 364) = 364

GCD(2, 364) = ( 2 x 364 ) / 364

GCD(2, 364) = 728 / 364

GCD(2, 364) = 2

GCD of 812, 294, 46, 364 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 424, 757, 13, 193
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• GCD of 520, 975, 44, 197
• GCD of 430, 333, 88, 768
• GCD of 506, 168, 99, 163

1. What is the GCD of 812, 294, 46, 364?

GCD of 812, 294, 46, 364 is 2

2. Where do I get the detailed procedure to find GCD of 812, 294, 46, 364?

You can find a detailed procedure to find GCD of 812, 294, 46, 364 on our page.

3. How to find GCD of 812, 294, 46, 364 on a calculator?

You can find the GCD of 812, 294, 46, 364 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.