GCD of 340, 204, 28, 828 Calculator

Given Input numbers are 340, 204, 28, 828

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

Divisors of 340

List of positive integer divisors of 340 that divides 340 without a remainder.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

Divisors of 204

List of positive integer divisors of 204 that divides 204 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

Divisors of 28

List of positive integer divisors of 28 that divides 28 without a remainder.

1, 2, 4, 7, 14, 28

Divisors of 828

List of positive integer divisors of 828 that divides 828 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

Greatest Common Divisior

We found the divisors of 340, 204, 28, 828 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 340, 204, 28, 828 is 4.

Therefore, GCD of numbers 340, 204, 28, 828 is 4

Given Input Data is 340, 204, 28, 828

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

Prime Factorization of 340 is 2 x 2 x 5 x 17

Prime Factorization of 204 is 2 x 2 x 3 x 17

Prime Factorization of 28 is 2 x 2 x 7

Prime Factorization of 828 is 2 x 2 x 3 x 3 x 23

Highest common occurrences in the given inputs are 2²

Multiplying them we get the GCD as 4

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(340, 204) = 1020

GCD(340, 204) = ( 340 x 204 ) / 1020

GCD(340, 204) = 69360 / 1020

GCD(340, 204) = 68

Step2:

Here we consider the GCD from the above i.e. 68 as first number and the next as 28

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

LCM(68, 28) = 476

GCD(68, 28) = ( 68 x 28 ) / 476

GCD(68, 28) = 1904 / 476

GCD(68, 28) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 828

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

LCM(4, 828) = 828

GCD(4, 828) = ( 4 x 828 ) / 828

GCD(4, 828) = 3312 / 828

GCD(4, 828) = 4

GCD of 340, 204, 28, 828 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 229, 468, 98, 600
• GCD of 361, 285, 18, 805
• GCD of 952, 795, 60, 216
• GCD of 227, 710, 11, 279
• GCD of 974, 631, 57, 764

1. What is the GCD of 340, 204, 28, 828?

GCD of 340, 204, 28, 828 is 4

2. Where do I get the detailed procedure to find GCD of 340, 204, 28, 828?

You can find a detailed procedure to find GCD of 340, 204, 28, 828 on our page.

3. How to find GCD of 340, 204, 28, 828 on a calculator?

You can find the GCD of 340, 204, 28, 828 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.