GCD of 832, 346, 642 Calculator

Given Input numbers are 832, 346, 642

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 346

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

1, 2, 173, 346

Divisors of 642

List of positive integer divisors of 642 that divides 642 without a remainder.

1, 2, 3, 6, 107, 214, 321, 642

Greatest Common Divisior

We found the divisors of 832, 346, 642 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 832, 346, 642 is 2.

Therefore, GCD of numbers 832, 346, 642 is 2

Given Input Data is 832, 346, 642

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 346 is 2 x 173

Prime Factorization of 642 is 2 x 3 x 107

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, 346) = 143936

GCD(832, 346) = ( 832 x 346 ) / 143936

GCD(832, 346) = 287872 / 143936

GCD(832, 346) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 642

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

LCM(2, 642) = 642

GCD(2, 642) = ( 2 x 642 ) / 642

GCD(2, 642) = 1284 / 642

GCD(2, 642) = 2

GCD of 832, 346, 642 is 2

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1. What is the GCD of 832, 346, 642?

GCD of 832, 346, 642 is 2

2. Where do I get the detailed procedure to find GCD of 832, 346, 642?

You can find a detailed procedure to find GCD of 832, 346, 642 on our page.

3. How to find GCD of 832, 346, 642 on a calculator?

You can find the GCD of 832, 346, 642 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.