GCD of 492, 438, 346, 854 Calculator

Given Input numbers are 492, 438, 346, 854

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

Divisors of 492

List of positive integer divisors of 492 that divides 492 without a remainder.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

Divisors of 438

List of positive integer divisors of 438 that divides 438 without a remainder.

1, 2, 3, 6, 73, 146, 219, 438

Divisors of 346

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

1, 2, 173, 346

Divisors of 854

List of positive integer divisors of 854 that divides 854 without a remainder.

1, 2, 7, 14, 61, 122, 427, 854

Greatest Common Divisior

We found the divisors of 492, 438, 346, 854 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 492, 438, 346, 854 is 2.

Therefore, GCD of numbers 492, 438, 346, 854 is 2

Given Input Data is 492, 438, 346, 854

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

Prime Factorization of 492 is 2 x 2 x 3 x 41

Prime Factorization of 438 is 2 x 3 x 73

Prime Factorization of 346 is 2 x 173

Prime Factorization of 854 is 2 x 7 x 61

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(492, 438) = 35916

GCD(492, 438) = ( 492 x 438 ) / 35916

GCD(492, 438) = 215496 / 35916

GCD(492, 438) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 346

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

LCM(6, 346) = 1038

GCD(6, 346) = ( 6 x 346 ) / 1038

GCD(6, 346) = 2076 / 1038

GCD(6, 346) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 854

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

LCM(2, 854) = 854

GCD(2, 854) = ( 2 x 854 ) / 854

GCD(2, 854) = 1708 / 854

GCD(2, 854) = 2

GCD of 492, 438, 346, 854 is 2

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1. What is the GCD of 492, 438, 346, 854?

GCD of 492, 438, 346, 854 is 2

2. Where do I get the detailed procedure to find GCD of 492, 438, 346, 854?

You can find a detailed procedure to find GCD of 492, 438, 346, 854 on our page.

3. How to find GCD of 492, 438, 346, 854 on a calculator?

You can find the GCD of 492, 438, 346, 854 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.