GCD of 832, 136, 54, 334 Calculator

Given Input numbers are 832, 136, 54, 334

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

Divisors of 832

List of positive integer divisors of 832 that divides 832 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832

Divisors of 136

List of positive integer divisors of 136 that divides 136 without a remainder.

1, 2, 4, 8, 17, 34, 68, 136

Divisors of 54

List of positive integer divisors of 54 that divides 54 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54

Divisors of 334

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

1, 2, 167, 334

Greatest Common Divisior

We found the divisors of 832, 136, 54, 334 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 832, 136, 54, 334 is 2.

Therefore, GCD of numbers 832, 136, 54, 334 is 2

Given Input Data is 832, 136, 54, 334

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

Prime Factorization of 832 is 2 x 2 x 2 x 2 x 2 x 2 x 13

Prime Factorization of 136 is 2 x 2 x 2 x 17

Prime Factorization of 54 is 2 x 3 x 3 x 3

Prime Factorization of 334 is 2 x 167

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(832, 136) = 14144

GCD(832, 136) = ( 832 x 136 ) / 14144

GCD(832, 136) = 113152 / 14144

GCD(832, 136) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 54

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

LCM(8, 54) = 216

GCD(8, 54) = ( 8 x 54 ) / 216

GCD(8, 54) = 432 / 216

GCD(8, 54) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 334

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

LCM(2, 334) = 334

GCD(2, 334) = ( 2 x 334 ) / 334

GCD(2, 334) = 668 / 334

GCD(2, 334) = 2

GCD of 832, 136, 54, 334 is 2

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1. What is the GCD of 832, 136, 54, 334?

GCD of 832, 136, 54, 334 is 2

2. Where do I get the detailed procedure to find GCD of 832, 136, 54, 334?

You can find a detailed procedure to find GCD of 832, 136, 54, 334 on our page.

3. How to find GCD of 832, 136, 54, 334 on a calculator?

You can find the GCD of 832, 136, 54, 334 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.