GCD of 334, 854, 362 Calculator

Given Input numbers are 334, 854, 362

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

Divisors of 334

List of positive integer divisors of 334 that divides 334 without a remainder.

1, 2, 167, 334

Divisors of 854

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

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

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 334, 854, 362 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 334, 854, 362 is 2.

Therefore, GCD of numbers 334, 854, 362 is 2

Given Input Data is 334, 854, 362

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

Prime Factorization of 334 is 2 x 167

Prime Factorization of 854 is 2 x 7 x 61

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(334, 854) = 142618

GCD(334, 854) = ( 334 x 854 ) / 142618

GCD(334, 854) = 285236 / 142618

GCD(334, 854) = 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 334, 854, 362 is 2

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1. What is the GCD of 334, 854, 362?

GCD of 334, 854, 362 is 2

2. Where do I get the detailed procedure to find GCD of 334, 854, 362?

You can find a detailed procedure to find GCD of 334, 854, 362 on our page.

3. How to find GCD of 334, 854, 362 on a calculator?

You can find the GCD of 334, 854, 362 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.