GCD of 838, 206, 68, 432 Calculator

Given Input numbers are 838, 206, 68, 432

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

Divisors of 838

List of positive integer divisors of 838 that divides 838 without a remainder.

1, 2, 419, 838

Divisors of 206

List of positive integer divisors of 206 that divides 206 without a remainder.

1, 2, 103, 206

Divisors of 68

List of positive integer divisors of 68 that divides 68 without a remainder.

1, 2, 4, 17, 34, 68

Divisors of 432

List of positive integer divisors of 432 that divides 432 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

Greatest Common Divisior

We found the divisors of 838, 206, 68, 432 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 838, 206, 68, 432 is 2.

Therefore, GCD of numbers 838, 206, 68, 432 is 2

Given Input Data is 838, 206, 68, 432

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

Prime Factorization of 838 is 2 x 419

Prime Factorization of 206 is 2 x 103

Prime Factorization of 68 is 2 x 2 x 17

Prime Factorization of 432 is 2 x 2 x 2 x 2 x 3 x 3 x 3

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(838, 206) = 86314

GCD(838, 206) = ( 838 x 206 ) / 86314

GCD(838, 206) = 172628 / 86314

GCD(838, 206) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 68

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

LCM(2, 68) = 68

GCD(2, 68) = ( 2 x 68 ) / 68

GCD(2, 68) = 136 / 68

GCD(2, 68) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 432

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

LCM(2, 432) = 432

GCD(2, 432) = ( 2 x 432 ) / 432

GCD(2, 432) = 864 / 432

GCD(2, 432) = 2

GCD of 838, 206, 68, 432 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 669, 805, 57, 358
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• GCD of 158, 443, 79, 528
• GCD of 167, 565, 78, 548

1. What is the GCD of 838, 206, 68, 432?

GCD of 838, 206, 68, 432 is 2

2. Where do I get the detailed procedure to find GCD of 838, 206, 68, 432?

You can find a detailed procedure to find GCD of 838, 206, 68, 432 on our page.

3. How to find GCD of 838, 206, 68, 432 on a calculator?

You can find the GCD of 838, 206, 68, 432 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.