GCD of 346, 330, 36, 862 Calculator

Given Input numbers are 346, 330, 36, 862

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

Divisors of 346

List of positive integer divisors of 346 that divides 346 without a remainder.

1, 2, 173, 346

Divisors of 330

List of positive integer divisors of 330 that divides 330 without a remainder.

1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330

Divisors of 36

List of positive integer divisors of 36 that divides 36 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36

Divisors of 862

List of positive integer divisors of 862 that divides 862 without a remainder.

1, 2, 431, 862

Greatest Common Divisior

We found the divisors of 346, 330, 36, 862 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 346, 330, 36, 862 is 2.

Therefore, GCD of numbers 346, 330, 36, 862 is 2

Given Input Data is 346, 330, 36, 862

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

Prime Factorization of 346 is 2 x 173

Prime Factorization of 330 is 2 x 3 x 5 x 11

Prime Factorization of 36 is 2 x 2 x 3 x 3

Prime Factorization of 862 is 2 x 431

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(346, 330) = 57090

GCD(346, 330) = ( 346 x 330 ) / 57090

GCD(346, 330) = 114180 / 57090

GCD(346, 330) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 36

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

LCM(2, 36) = 36

GCD(2, 36) = ( 2 x 36 ) / 36

GCD(2, 36) = 72 / 36

GCD(2, 36) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 862

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

LCM(2, 862) = 862

GCD(2, 862) = ( 2 x 862 ) / 862

GCD(2, 862) = 1724 / 862

GCD(2, 862) = 2

GCD of 346, 330, 36, 862 is 2

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1. What is the GCD of 346, 330, 36, 862?

GCD of 346, 330, 36, 862 is 2

2. Where do I get the detailed procedure to find GCD of 346, 330, 36, 862?

You can find a detailed procedure to find GCD of 346, 330, 36, 862 on our page.

3. How to find GCD of 346, 330, 36, 862 on a calculator?

You can find the GCD of 346, 330, 36, 862 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.